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Functional Equations and Inequalities

  • Themistocles M. Rassias
Book

Part of the Mathematics and Its Applications book series (MAIA, volume 518)

Table of contents

  1. Front Matter
    Pages i-xi
    PDF
  2. On the Stability of a Functional Equation for Generalized Trigonometric Functions
    Roman Badora
    Pages 1-5
  3. Some Notes on Two-Scale Difference Equations
    Lothar Berg, Gerlind Plonka
    Pages 7-29
  4. Some Demand Functions in a Duopoly Market with Advertising
    Enrique Castillo, Jose Maria Sarabia, Ana Mercedes Gonzalez
    Pages 31-54
  5. Solutions of a Functional Inequality in a Special Class of Functions
    Marek Czerni
    Pages 55-63
  6. On Dependence of Lipschitzian Solutions of Nonlinear Functional Inequality on an Arbitrary Function
    Marek Czerni
    Pages 65-75
  7. The Problem of Expressibility in Some Extensions of Free Groups
    Valeriĭ Faĭziev
    Pages 77-90
  8. On a Pythagorean Functional Equation Involving Certain Number Fields
    J. L. Garcia-Roig, J. Salillas
    Pages 91-95
  9. On a Conditional Cauchy Functional Equation Involving Cubes
    J. L. Garcia-Roig, Emma Martín-Gutiérrez
    Pages 97-104
  10. Hyers-Ulam Stability of HosszÚ’s Equation
    P. Găvruţă
    Pages 105-110
  11. The Functional Equation of the Square Root Spiral
    Konrad J. Heuvers, Daniel S. Moak, Blake Boursaw
    Pages 111-117
  12. On the Superstability of the Functional Equation f(xy) = f(x)y
    Soon-Mo Jung
    Pages 119-124
  13. Replicativity and Function Spaces
    Hans-Heinrich Kairies
    Pages 125-138
  14. Normal Distributions and the Functional Equation f(x + y)g(x - y) = f(x)f(y)g(x)g(-y)
    P. Kannappan
    Pages 139-144
  15. On The Polynomial-Like Iterative Functional Equation
    Janusz Matkowski, Weinian Zhang
    Pages 145-170
  16. Distribution of Zeros and Inequalities for Zeros of Algebraic Polynomials
    Gradimir V. Milovanović, Themistocles M. Rassias
    Pages 171-204
  17. A Functional Definition of Trigonometric Functions
    Nicolae N. Neamţu
    Pages 205-213
  18. A Qualitative Study of Lobachevsky’s Complex Functional Equation
    Nicolae N. Neamţu
    Pages 215-220
  19. Smooth Solutions of an Iterative Functional Equation
    Jian-Guo Si, Wei-Nian Zhang, Sui-Sun Cheng
    Pages 221-232
  20. Set-Valued Quasiconvex Functions and their Constant Selections
    Wilhelmina Smajdor
    Pages 233-247
  21. Entire Solutions of the Hille-Type Functional Equation
    Andrzej Smajdor, Wilhelmina Smajdor
    Pages 249-258
  22. Ulam’s Problem, Hyers’s Solution — and to Where They Led
    László Székelyhidi
    Pages 259-285
  23. A Separation Lemma for the Construction of Finite Sums Decompositions
    Wolfgang Tutschke
    Pages 287-296
  24. Aleksandrov Problem and Mappings which Preserve Distances
    Shuhuang Xiang
    Pages 297-323
  25. On Some Subclasses of Harmonic Functions
    Sibel Yalçin, Metin Öztürk, Mümin Yamankaradeniz
    Pages 325-331
  26. Back Matter
    Pages 333-336
    PDF

About this book

Keywords

difference equation distribution functional analysis functional equation integral transform operational calculus

Authors and affiliations

  • Themistocles M. Rassias
    • 1
  1. 1.Department of MathematicsNational Technical University of AthensAthensGreece

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