ed. August M. Zapała ISBN: 9788380613300 Pages: 194 Format: B5 (hard cover) Year: 2016 Language: English
CONTENTS
Preface
List of Authors
1 Dynamical Potentials and Associated Action Functionals  Victor I. Bakhtin 1.1 Spectral and dynamical potentials 1.2 Equilibrium measures 1.3 The action functional and distributions of empirical measures
2 Computer Construction of the General Solution of the Linear Differential Equation of the Fifth Order  Alexander Chichurin 2.1 Introduction and statement of the problem 2.2 Preliminary theoretical considerations 2.3 Description of the solution algorithm for the problem 2.4 Visualization of the partial solutions 2.5 Solution of the initial problem and its graph 2.6 Conclusions
3 Deductive Systems and Ideals of PseudoBCIAlgebras  Grzegorz Dymek 3.1 The notion of pseudoBCIalgebra 3.2 Selected properties of pseudoBCIalgebras 3.3 Ideals and deductive systems 3.4 Closed deductive systems of normal pseudoBCIalgebras
4 A Survey of Results on Compact Boolean Algebras  Wiesław Główczyński 4.1 Topologies on Boolean algebras 4.2 Algebraic properties of compact Boolean algebras
5 The Topological Argument Principle  Armen Grigoryan 5.1 Continuous argument of a complex curve 5.2 The degree principle 5.3 The argument principle
6 Two Problems Relevant to the Abel Equation  Szymon Ignaciuk, Dariusz Partyka 6.1 Generalized form of Abel’s equation 6.2 Auxiliary properties of exponential function 6.3 Notes on the first problem 6.4 Notes on the second problem
7 On a Linear Functional Equation with Commuting Given Functions  Witold Jarczyk 7.1 Iteration group of a function 7.2 An auxiliary result 7.3 Lebesgue measurable solutions of the linear functional equation
8 Singular Integral Equation on the Unbounded Strip  Paweł Karczmarek, Michail A. Sheshko, Paweł Wójcik 8.1 General form of the singular integral equation 8.2 Solution of the equation 8.3 Various versions of the main theorem 8.4 A numerical example
9 The Full Proof of Estimates of an Error of Approximate Solution of a Singular Integral Equation on the HalfPlane I  Paweł Karczmarek, Dorota Pylak, Michail A. Sheshko 9.1 Description of the problem 9.2 Function classes 9.3 Error estimates for the approximate solutions
10 Quantitative Methods for Linguistic Descriptors in Face Recognition  Adam Kiersztyn, Paweł Karczmarek, Przemysław Rutka and Witold Pedrycz 10.1 Main problems in face recognition 10.2 Description of the method 10.3 Experimental results 10.4 An alternative method 10.5 Weights of features 10.6 Conlusions
11 Results on Guarding a Line Segment as a Contribution to the General Theory of Differential Games  Beata Kraska, Witold Rzymowski 11.1 Description of a differential game 11.2 The value of a game in a general situation 11.3 Guarding strategy 11.4 Attack
12 Exact L1Conservative FiniteDifference Scheme for the Neumann Problem for Quasilinear Parabolic Equation  Piotr Matus, Dmitry Poliakov 12.1 Conservative finite difference schemes 12.2 Exact L1conservative finitedifference scheme 12.3 Exact conservative iteration process 12.4 Flow finitedifference scheme 12.5 Exact L1conservative flow algorithm 12.6 Multidimensional generalization
13 Barycentric and Mechanical Properties of Classical Orthogonal Polynomials  Przemysław Rutka, Ryszard Smarzewski 13.1 Classical orthogonal polynomials 13.2 The weighted Fejér interpolating problem 13.3 Extremal differential problems
14 A Criterion for Regularity of Measures on Topological Spaces  August M. Zapała 14.1 The problem of regularity of measures 14.2 Regular and σfinitely smooth measures 14.3 General criterion for regularity of measures 14.4 A criterion for σfiniteness of measures 14.5 Concluding remarks
