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Mathematical Analysis and Applications

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An international community of experts comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more.

 
This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.
Authors: Rassias Themistocles, Pardalos Panos
Publisher: SPRINGER
Pages: 694
ISBN: 9783030313418
Cover: Paperback
Edition Number: 1
Release Year: 2019

Exact solution to systems of linear first-order integro-differential equations with multipoint and integral conditions (Baiburin and Providas).- A variational approach to the financial problem with insolvencies and analysis of the contagion (Daniele et al.).- Local Fixed Point Theorems in Generalized B-Metric Spaces (Czerwik and Jozwik).- Inequalities and Approximations for the Finite Hilbert Transform: a Survey of Recent Results (Dragomir).- On hyperstability of the two-variable Jensen functional equation on restricted domain (EL-Fassi).- On the Study of Circuit Chains Associated with a Random Walk with Jumps in Fixed, Random Environments: Criteria of Recurrence and Transience (Ganatsiou).- On selections of some generalized set-valued inclusions (Rassias et al.).- Certain fractional integral and differential formulas involving the extended incomplete generalized hypergeometric function (Agarwal et al.).- On the stability of the triangular equilibrium points in the elliptic restricted three–body problem with radiation and oblateness (Kalantonis et al.).- Some different type integral inequalities and their applications (Kashuri and Liko).- Extensions of Kannappan’s and Van Vleck’s functional equations on semigroups (Elhoucien et al.).- Recent Advances of Convexity Theory and its Inequalities (Jichang).- Additive functional inequalities and partial multipliers in complex Banach algebras (Lee et al.).- Additive ρ-functional inequalities and their applications (Park et al.).- Graphic contraction principle and applications (Petrusel and Rus).- A new approach for the inversion of the attenuated Radon transform (Protonotarios et al.).- On algorithms for difference of monotone operators (Cattani et al.).- Finite Element Analysis in Fluid Mechanics (Xenos et al.).- On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function (Rassias and Yang).- On metric structures of normed gyrogroups (Suksumran).- Birelator spaces are natural generalizations of not only bitopological spaces, but also ideal topological spaces (Szaz).- PPF dependent fixed points in Razumikhin metrical chains (Turinici).- Equivalent Properties of Parameterized Hilbert-Type Integral Inequalities (Yang).- Trotter product formula for non-self-adjoint Gibbs semigroups (Zagrebnov).

Themistocles M. Rassias is a professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Prof. Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Prof. Rassias has published as author or editor many books and volumes with Springer. In addition to having received several awards, Themistocles M. Rassias’ work has received a large number of citations.

Department of Industrial & Systems Engineering, University of Florida, Gainesville, USA

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