Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium, Mathematica

Founded: 1960

Published by: the Palacký University Olomouc

ISBN: 978-80-244-1819-3
ISSN: 0231-9721

The journal Acta Universitatis Palackianae Olomucensis, Facultas rerum naturalium, Mathematica, publishes original research papers from mathematical analysis, algebra, geometry, statistics and numerical methods in English.

Editor-in-Chief

Svatoslav Staněk stanek@inf.upol.cz
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University,
Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

Editorial Board

Jan Andres andres@inf.upol.cz
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University,
Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

Gábor Czédli czedli@math.u-szeged.hu
University of Szeged, Bolyai Institute, Aradi vértanúk tere 1, H-6720 Szeged, Hungary

Anatolij Dvurečenskij dvurecen@mat.savba.sk
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, Bratislava, Slovakia

Günther Eigenthaler eigenthaler@tuwien.ac.at
Institut für Algebra und Computermathematik, Technische Universität Wien,
Wiedner Hauptstraße 8–10/118, A-1040 Wien, Austria

Eva Fišerová fiserova@inf.upol.cz
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University,
Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

Lech Górniewicz gorn@mat.uni.torun.pl
Faculty of Mathematics and Informatics, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

László Hatvani hatvani@math.u-szeged.hu
University of Szeged, Bolyai Institute, Aradi vértanúk tere 1, H-6720 Szeged, Hungary

Jan Chvalina chvalina@feec.vutbr.cz
Department of Mathematics, Faculty of Electrical Engineering and Communication
Brno Ubiversity of Technology (BUT), 616 00 Brno, Technická 8, Czech Republic

Olga Krupková krupkova@inf.upol.cz
Algebra and Geometry, Faculty of Science, Palacký University, Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

Jan Kühr kuhr@inf.upol.cz
Algebra and Geometry, Faculty of Science, Palacký University, Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

Luisa Malaguti luisa.malaguti@unimore.it
Department of Engineering Sciences and Methods, University of Modena and Reggio Emilia,
Via G. Amendola 2, I-42100 Reggio Emilia, Italy

Milan Medveď medved@fmph.uniba.sk
Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics,
Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia

Josef Mikeš mikes@inf.upol.cz
Algebra and Geometry, Faculty of Science, Palacký University, Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

Peter Nagy nagypeti@math.klte.hu
Lajos Kossuth University, Postfach 12, 4010 Debrecen, Hungary

Andrey G. Popov ap129@yandex.ru
Department of Mathematics, Lomonosov Moscow State University
Vorobevy Gory 2, 123 000 Moscow, Russian Federation

Karl Strambach strambach@mi.uni-erlangen.de
Mathematisches Institut, Universität Erlangen–Nürnberg, Bismarckstrasse 1 1/2, D-91054 Erlangen, Germany

Fabio Zanolin zanolin@dimi.uniud.it
Department of Mathematics and Computer Science, Faculty of Science, University of Udine,
Via delle Scienze 206, 33100 Udine, Italy

Technical Editor

Miloslav Závodný zavodny@inf.upol.cz
Department of Mathematical Analysis and Applications of Mathematics, Faculty of Science, Palacký University,
Tř. 17. listopadu 12, 771 46 Olomouc, Czech Republic

Instructions for Authors

Papers which have been published or submitted for publication elsewhere are not acceptable.

The manuscripts must be in English.

The structure of the manuscript should be as follows:
• Title of the paper
• Author's name and city
• Abstract (not exceeding 12 lines)
• Keywords
• Mathematics Subject Classification 2000
• Text of the paper
• References
• Author's complete address with the e-mail address
In case of several authors, the address for correspondence should be indicated.

References should be listed in the following form:
[1] Cecchi, M., Marini, M., Villari, G.: On the monotonicity property for a certain class of second order differential equations.
J. Differential Equations 82 (1989), 15–27.
[2] Lloyd, N. G.: Degree Theory. Cambridge Univ. Press, Cambridge, 1978.

The authors receive their paper in PDF format.

The Editorial Office encourages electronic submission of manuscripts to the Editor-in-Chief (stanek@inf.upol.cz). The authors can submit their papers in PDF or PostScript formats. After the paper is accepted, the author(s) are sked to provide the paper in LaTeX, AmsTeX, or PlainTeX format together with all accompanying files. Included should be all necessary macros which are not part of the standard TeX formats. Avoid using excessive user-defined macros. In particular, abstracts should contain no user-defined macros at all. E-mail, CD ROM, or diskette submissions are accepted.

For any further information concerning the preparation of manuscripts, please feel free to contact the Technical Editor (zavodny@inf.upol.cz).

Czech Digital Mathematics Library

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica in DML-CZ (Czech Digital Mathematics Library)

Some Contents, Abstracts and Articles

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 42 (2003)

Radim BĚLOHLÁVEK: Boolean Part of BL-algebras.
Ivan CHAJDA, Josef ZEDNÍK: Distributivity and Modularity of Lattices of Quasiorders.
Marek JUKL: On Hall Planar Ternary Rings with Ordered Carrier Sets.
Jiří KOBZA: Quartic Smoothing Splines Generalized.
Lubomír KUBÁČEK, Eva TESAŘÍKOVÁ: Confidence Regions in Nonlinear Models with Constraints.
Pavla KUNDEROVÁ: Eliminating Transformations for Nuisance Parameters in Linear Model.
Jaroslav MAREK: Estimation in Connecting Measurements.
Pavla ŠNYRYCHOVÁ: Periodic Points for Maps in Rⁿ.
Brigitta SZILÁGYI: Projective Randers Change of ^*P-Finsler Spaces.
Ljubica S. VELIMIROVIĆ, Svetislav M. MINČIĆ, Mića S. STANKOVIĆ: Infinitesimal Deformations and Lie Derivative of a Non-symmetric Affine Connection Space.
Zbigniew WALCZAK: Approximation Properties of Certain Linear Positive Operators in Exponential Weighted Spaces.
Zbigniew WALCZAK: Approximation Properties of Certain Linear Positive Operators in Exponential Weighted Spaces of Functions of Two Variables.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 41 (2002)

Mihail BANARU: On Totally Umbilical Cosymplectic Hypersurfaces of Six-dimensional Hermitian Submanifolds of Cayley Algebra.
M. BENCHOHRA, S. K. NTOUYAS: Existence Results on the Semiinfinite Interval for First and Second Order Integrodifferential Equations in Banach spaces with Nonlocal Conditions.
Radim BĚLOHLÁVEK: Convex Sets in Algebras.
Ivan CHAJDA: A Characterization of Congruence Kernels in Pseudocomplemented Semilattices.
Gábor CZÉDLI, Eszter K. HORVÁTH: Congruence Distributivity and Modularity Permit Tolerances.
Gábor CZÉDLI, Eszter K. HORVÁTH: Reflexive Relations and Mal'tsev Conditions for Congruence Lattice Identities in Modular Varieties.
Ondřej DOŠLÝ: Oscillatory Properties of Fourth Order Sturm–Liouville Differential Equations.
Lubomír KUBÁČEK, Eva TESAŘÍKOVÁ: Weakly Nonlinear Constraints in Regression Models.
Jan KÜHR: Archimedean GMV-chains.
Jan LIGĘZA: On Two Points Boundary Value Problems for Ordinary Nonlinear Differential Equations of the Fourth Order in the Colombeau Algebra.
Jitka MACHALOVÁ: B-spline Representation.
Irena RACHŮNKOVÁ, Jan TOMEČEK: On Nonlinear Boundary Value Problem for Systems of Differential Equations with Impulses.
Robert SKIBA: Topological Essentiality for Multivalued Weighted Mappings.
Awar Simon UKPERA: Periodic Solutions of Certain Third Order Differential Systems with Nonlinear Dissipation.
Rostislav VODÁK: Problem Ñ × v = f and Singular Integrals on Orlicz Spaces.
Pavel ŽENČÁK: The Convex Interpolation of Histogram by Polynomial Splines: The Existence Theorem.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 40 (2001)

Olufemi Adeyinka ADESINA: Periodicity and Stability Results for Solutions of Some Fifth Order Non-Linear Differential Equations.
Mihail BANARU: On Six-Dimensional G1-Submanifolds of Cayley Algebra.
Ivan CHAJDA: A Common Generalization of Permutability and 0-permutability.
Ivan CHAJDA: Varieties which are Locally Regular and Permutable at 0.
Ivan CHAJDA, Helmut LÄNGER: A Simple Basis of Ideal Terms of Brouwerian Semilattices.
Mircea CRÂŞMĂREANU: Trace Decomposition and Recurrency.
Gábor CZÉDLI, Eszter K. HORVÁTH, Lajos KLUKOVITS: Associativity in Monoids and Categories.
Ivo GAMBA: A Note on the Example of J. Andres Concerning the Application of the Nielsen Fixed-Point Theory to Differential Systems.
Sylvain GRAVIER, Charles PAYAN: Tilings and Isoperimetrical Shapes I: Square Lattice.
Sylvain GRAVIER: Tilings and Isoperimetrical Shapes II: Hexagonal lattice.
Marina GREBENYUK: The Osculating Hyperquadrics of the Three-Component Distribution in Affine Space.
Jiří KOBZA: Quartic Splines with Minimal Norms.
Lubomír KUBÁČEK, Ludmila KUBÁČKOVÁ, Eva TESAŘÍKOVÁ: Exponential Regression.
Pavla KUNDEROVÁ: Regular Linear Model with the Nuisance Parameters with Constraints of the Type I.
František MACHALA: Special Incidence Structures of Type (p,n), Part II.
Włodzimierz M. MIKULSKI: The Natural Affinors on (J^rT^*,a)^*.
Karel PASTOR, Dušan BEDNAŘÍK: On Monotone Minimal Cuscos.
Jiří RACHŮNEK: Connections between Ideals of Non-Commutative Generalizations of MV-algebras and Ideals of their Underlying Lattices.
Robert SKIBA: On the Lefschetz Fixed Point Theorem for Multivalued Weighted Mappings.
Dana ŠALOUNOVÁ: Spectra of Weakly Associative Lattice Rings.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 39 (2000)

José ARAUJO, Guillermo KEILHAUER: Natural Tensor Fields of Type (0,2) on the Tangent and Cotangent Bundles of a Semi-Riemannian Manifold.
Carlo BENASSI, Andrea GAVIOLI: Approximation from the Exterior of Carathéodory Multifunctions.
Jacek DẸBECKI: The Natural Operators Transforming Affinors to Tensor Fields of Type (3,3).
Jan DRAESSLER: The Nonlinear Periodic Second Order Boundary Value Problem.
Marek JUKL: Galois Triangle Theory for Direct Summands of Modules.
Jiří KOBZA: Optimal Quadratic Interpolatory Splines on General Knotset.
Pavla KUNDEROVÁ: Linear Models with Nuisance Parameters and Deformation Measurement.
Jan LIGĘZA: Two Point Boundary Value Problems for Linear Third Order Differential Equations in the Colombeau algebra.
František MACHALA: Special Incidence Structures of Type (p,n).
Jitka MACHALOVÁ: Chipman Pseudoinverse of Matrix, its Computation and Application in Spline Theory.
Pavol MARUŠIAK, Vladimír JANÍK: Asymptotic Properties of Solutions of the Third Order Quasilinear Neutral Differential Equations.
Milan POKORNÝ, Petr TROJEK: Some Notes to Certain Modification of the Oseen Problem.
Jiří RACHŮNEK, Filip ŠVRČEK: MV-Algebras with Additive Closure Operators.
Vladimír SLEZÁK: Span in Incidence Structures of Independent Sets Defined on Projective Space.
Urszula SZTABA: Convolution Product of Periodic Distributions and the Dirichlet Problem on the Unit Disc.
Lidmila VRÁNOVÁ: Irreducible Elements of Posets.
Gejza WIMMER, Gabriel ALTMANN: On the Generalization of the STER Distribution Applied to Generalized Hypergeometric Parents.
Viktor WITKOVSKÝ: On Seifert's ANOVA-Like Test for Variance Components.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 38 (1999)

Krisztina BALOG, Gábor CZÉDLI: Maľcev Functions on Smalgebras.
M. BEKTAŞ, M. ERGÜT: Compact Space-like Submanifolds with Parallel Mean Curvature Vector of a Pseudo-Riemannian Space.
Zdeněk DOSTÁL: Inexact Solution of Auxiliary Problems in Polyak Type Algorithms.
Wiesław A. DUDEK: On Ideals in Hilbert Algebras.
Ivan CHAJDA: Algebras Satisfying Certain Quasiorder Identities.
Ivan CHAJDA: Locally Coherent Algebras.
Ivan CHAJDA, Ewa GRACZYŃSKA: Algebras Presented by Normal Identities.
Jiří KOBZA: Optimal Polygonal Interpolation.
Lubomír KUBÁČEK, Ludmila KUBÁČKOVÁ: Linearization Regions for a Determination of a Calibration Curve.
Lenka LAKOMÁ: Projections of Tensor Spaces.
Jan LIGĘZA: Boundary Value Problems for Ordinary Linear Differential Equations in the Colombeau Algebra.
František MACHALA: Incidence Structures of Independent Sets.
František MACHALA, Vladimír SLEZÁK: Disjoint Unions of Incidence Structures and Complete Lattices.
Małgorzata MIGDA, Ewa SCHMEIDEL: Some Properties of Solutions of a Class of Nonlinear Difference Equations.
Bohumil ŠMARDA: Independence in l-groups.
Pavel ŽENČÁK: Some Algorithm for Testing Convexity of Histogram.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 37 (1998)

Jan ANDRES, Jiří FIŠER, Libor JÜTTNER, Ivona VELECKÁ: Population Dynamics of Bithynia Tentaculata.
Anna CICHOCKA: On Multiplication of Some Generalized Functions.
Ivan CHAJDA, Radomír HALAŠ, Josef ZEDNÍK: Filters and Annihilators in Implication Algebras.
Jiří KOBZA: Numerical Solution of Some Iterative-differential Equation.
Bohumil KRAJC: A Note on Existence of Bounded Solutions of an n-th Order ODE on the Real Line.
Lubomír KUBÁČEK: Corrections of Estimators in Linearized Models.
Lubomír KUBÁČEK, Ludmila KUBÁČKOVÁ: Testing Statistical Hypotheses in Deformation Measurement; One Generalization of the Scheffé Theorem.
Pavla KUNDEROVÁ: One Multivariate Linear Model with Nuisance Parameters.
Viktor PIRČ: On the Relationship Between the Initial and the Multipoint Boundary Value Problems for n-th Order Linear Differential Equations of Neutral Type.
Jiří RACHŮNEK: A Weakly Associative Generalization of the Variety of Representable Lattice Ordered Groups.
Vladimír SLEZÁK: Bases in Incidence Structures Defined on Projective Spaces.
Svatoslav STANĚK: Two-point Functional Boundary Value Problems Without Growth Restrictions.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 36 (1997)

Radim BĚLOHLÁVEK, Ivan CHAJDA: Polynomially Determined Congruences in Algebras without Constants.
Kazimierz GŁAZEK: A Certain Galois Connection and Weak Automorphisms.
Ivan CHAJDA: The Degree of Regularity in Varieties.
Marek JUKL: Desargues Theorem for Klingenberg Projective Plane over Certain Local Ring.
Jiří JURÁNEK: Some Remarks to Testing Statistical Hypothesis in Linear Regression Model with Constraints.
Dalibor KLUCKÝ, Libuše MARKOVÁ: Coordinatization of Projective Planes by Special Planar Ternary Rings.
Jiří KOBZA: Local Representations of Quartic Splines.
Jiří KOBZA, Pavel ŽENČÁK: Some Algorithms for Quartic Smoothing Splines.
Lubomír KUBÁČEK: Notice on the Chipman Generalization of the Matrix Inverse.
Lubomír KUBÁČEK, Ludmila KUBÁČKOVÁ: Ferrero Formula and Triangle Misclosures Revisited.
Lubomír KUBÁČEK, Ludmila KUBÁČKOVÁ: One of the Calibration Problems.
Pavla KUNDEROVÁ: On One Multivariate Linear Model with Nuisance Parameters.
František MACHALA: Konzepte in den triadischen Kontext.
František MACHALA, Vladimír SLEZÁK: Incidence Structures and Closure Spaces.
Josef MIKEŠ, Sándor BÁCSÓ, Josef ZEDNÍK: On f-planar Mappings of Affine-connection Spaces with Infinite Dimension.
Zuzana MORÁVKOVÁ: A Note on Relative Complements in Lattices.
Milan POKORNÝ: Steady Plane Flow of Second-Grade Fluid in Exterior Domains.
Eva TESAŘÍKOVÁ: Probabilistic Model of School-achievement Test with the Correction Account of the Random Choice and its Statistical Analysis.
Alena VANŽUROVÁ: Polynomial Structures with Double Roots.
Ivo VRKOČ: Composition of Indpendent Stochastic Variables.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 35 (1996)

Jan ANDRES, Tomáš TURSKÝ: On the Method of Esclangon.
Vladimir BEREZOVSKI, Josef MIKEŠ: On a Classification of Almost Geodesic Mappings of Affine Connection Spaces.
Marta BOGNÁROVÁ, Lubomír KUBÁČEK, Júlia VOLAUFOVÁ: Comparison of MINQUE and LMVQUIE by Simulation.
Ivan CHAJDA: Regularity and Permutability via Transferability of Tolerances.
Ivan CHAJDA: Congruence Semimodularity of Conservative Groupoids.
Marek JUKL: Sylvester Theorem for Certain Free Modules.
Tomáš KEPKA, Petr NĚMEC: Simple Balanced Groupoids.
Jiří KOBZA: Quartic and Biquartic Interpolatory Splines on Simple Grid.
Wiesław KOTARSKI: Optimal Control of a System Governed by Petrowsky Type Equation with an Infinite Number of Variables.
Ludmila KUBÁČKOVÁ, Lubomír KUBÁČEK: Estimation in Multiepoch Regression Models with Different Structures for Studying Recent Crustal Movements.
Jan LIGĘZA: On Some Boundary Value Problems for Ordinary Linear Differential Equations of Second Order in the Colombeau Algebra.
František MACHALA, Marek POMP: Homomorphisms of Contexts and Isomorphisms of Concept Lattices.
Nikolai Ya. MEDVEDEV: Homomorphisms of Contexts and Isomorphisms of Concept Lattices.
B. MOND, J. E. PEČARIĆ: Some Matrix Inequalities of London Type.
Svatoslav STANĚK: Solvability of Nonlinear Functional Boundary Value Problems.
Urszula SZTABA: Even Order Differential Equations with Measures as Coefficients.
Eva TESAŘÍKOVÁ: Information Analysis in Variant I of Probabilistic Model of the School Achievement Test with Double Choice Response.
Alena VANŽUROVÁ: Some Remarks on Polynomial Structures.
Gejza WIMMER: Locally Best Linear-quadratic Estimators.
Zdzisław WYDERKA: Periodic Solutions of Linear Differential Equations with Measures as Coefficients.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 34 (1995)

S. S. DRAGOMIR, B. MOND, J. E. PEČARIĆ: On Jensen's Inequality for Self-Adjoint Operators in Hilbert Space.
Miloslav FIALKA: On the Bundle of Solutions of a Nonhomogenous Second Order Linear Differential Equation.
Ján FUTÁK, Alexander HAŠČÁK: Asymptotic and Integral Equivalence of Multivalued Differential Systems.
Radomír HALAŠ: Annihilators and Ideals in Distributive and Modular Ordered Sets.
Jiří V. HORÁK: On Solvability of One Special Problem of Coupled Thermoelasticity (Part I).
Ivan CHAJDA: Tolerance Lattice of Algebras with Restricted Similarity Type.
Ivan CHAJDA: Varieties Having the Congruence Extension Property.
Marek JUKL: Grassmann Formula for Certain Type of Modules.
Jiří KOBZA: Spline Recurrences for Quartic Splines.
Lubomír KUBÁČEK: Criterion for an Approximation of Variance Components in Regression Models.
Ludmila KUBÁČKOVÁ: Mixed Multiepoch Linear Regression Models with Nuisance Parameters.
Jitka LAITOCHOVÁ: Associated Linear Differential Equations to Linear Second Order Differential Equations of Sturm, Jacobi and General Form.
František MACHALA: Modulare Inzidenzstrukturen.
Bedřich PONDĚLÍČEK: A Note on Tolerance Lattices of Algebras with Restricted Similarity Type.
Jiří RACHŮNEK: The Semigroup of Varieties of Weakly Associative Lattice Groups.
Svatoslav STANĚK: An Application of the Leray–Schauder Degree Theory to Boundary Value Problem for Third and Fourth Order Differential Equations Depending on the Parameter.
Eva TESAŘÍKOVÁ: Bayesian Estimation of Number of the Questions Unfamiliar with the Examinee in Variant I of Probabilistic Model of Double Choice Test.
Eva TESAŘÍKOVÁ: Bayesian Estimation of Parameter τ in Variant I of Probabilistic Model of Double Choice Test.
Alena VANŽUROVÁ: Polynomial Stuctures with Double Roots.

Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 33 (1994)

Pavel CALÁBEK: A Four-point Problem for Second-order Differential Systems.
Ivan CHAJDA, Radomír HALAŠ: Genomorphismus of Lattices and Semilattices.
Ivan CHAJDA: Principal Tolerances on Lattices.
Grant B. GUSTAFSON, Miroslav LAITOCH: Involutions and Iterates of Central Dispersions.
Radomír HALAŠ: A Note on Homotopy in Universal Algebra.
Václav HAVEL, Miloslava SEDLÁŘOVÁ: Golden Section Quasigroups as Special Idempotent Medial Quasigroups .
Jiří KOBZA, Jan MLČÁK: Biquadratic Spline Smoothing Mean Values.
Jiří KOBZA: Some Algorithm for Computing Local Parameters of Parameters of Quartic Interpolatory Splines.
Miroslav LAITOCH: First Phase of the Associated Equation with Parameters for the Differential Equation y''=q(t) y.
František MACHALA: Über homomorphismen der kontexte.
A. G. PINUS, M. M. MICHAILOV: On the Approximation of the Boolean Powers by Cartesian Powers.
Jiří RACHŮNEK: Circular Totally Semi-ordered Groups.
Irena RACHŮNKOVÁ: Sign Conditions in Nonlinear Boundary Value Problems.
Svatoslav STANĚK: On Certain Three-point Regular Boundary Value Problems for Nonlinear Second-order Differential Equations Depending on the Parameter.
Eva TESAŘÍKOVÁ: Probabilistic Model of School-achievement Test with Triple Choice Response.
Eva TESAŘÍKOVÁ: Statistical Analysis of Probabilistic Model of the School-achievement Test with Triple-choice Response.
Jiří VANŽURA, Alena VANŽUROVÁ: Polynomial Mappings of Polynomial Structures with Simple Roots.