Frontiers in Functional Equations and Analytic Inequalities by George A. Anastassiou (PDF)

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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 domainsHyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equationsTopological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equationsGeneral Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach SpacesStabilities of Functional Equations via Fixed Point TechniqueMeasure zero stability problem for the Drygas functional equation with complex involutionFourier Transforms and Ulam Stabilities of Linear Differential EquationsHyers–Ulam stability of a discrete diamond–alpha derivative equationApproximate 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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