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Frontiers in Functional Equations and Analytic Inequalities (Hardcover, 1st ed. 2019)
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Frontiers in Functional Equations and Analytic Inequalities (Hardcover, 1st ed. 2019)
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This volume presents cutting edge research from the frontiers of
functional equations and analytic inequalities active fields. It
covers the subject of functional equations in a broad sense,
including but not limited to the following topics: Hyperstability
of a linear functional equation on restricted domains Hyers-Ulam's
stability results to a three point boundary value problem of
nonlinear fractional order differential equations Topological
degree theory and Ulam's stability analysis of a boundary value
problem of fractional differential equations General Solution and
Hyers-Ulam Stability of Duo Trigintic Functional Equation in
Multi-Banach Spaces Stabilities of Functional Equations via Fixed
Point Technique Measure zero stability problem for the Drygas
functional equation with complex involution Fourier Transforms and
Ulam Stabilities of Linear Differential Equations Hyers-Ulam
stability of a discrete diamond-alpha derivative equation
Approximate solutions of an interesting new mixed type
additive-quadratic-quartic functional equation. The diverse
selection of inequalities covered includes Opial,
Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare,
Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard,
Levinson, and complex Korovkin type. The inequalities are also in
the environments of Fractional Calculus and Conformable Fractional
Calculus. Applications from this book's results can be found in
many areas of pure and applied mathematics, especially in ordinary
and partial differential equations and fractional differential
equations. As such, this volume is suitable for researchers,
graduate students and related seminars, and all science and
engineering libraries. The exhibited thirty six chapters are
self-contained and can be read independently and interesting
advanced seminars can be given out of this book.
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