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Book
Variational Problems and Applications
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ISBN: 3036565884 3036565892 Year: 2023 Publisher: Basel, Switzerland : MDPI - Multidisciplinary Digital Publishing Institute,

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Abstract

The current reprint presents studies of uncertain variational problems. It aims to develop the research in this field by formulating and demonstrating some characterization results of well-posedness and robust efficient solutions in new classes of (multiobjective) variational (control) problems governed by multiple and/or path-independent curvilinear integral cost functionals and robust mixed and/or isoperimetric constraints involving first- and second-order partial differential equation.


Book
Recent advances in nonlinear analysis and optimization with applications
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ISBN: 1527560384 Year: 2020 Publisher: Newcastle upon Tyne, UK : Cambridge Scholars Publishing,

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Book
Symmetry in Mathematical Analysis and Functional Analysis
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ISBN: 3036565906 3036565914 Year: 2023 Publisher: Basel, Switzerland : MDPI - Multidisciplinary Digital Publishing Institute,

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The present reprint provides some theoretical results (and their applications) in the fields of mathematical analysis and functional analysis, in which the concept of symmetry plays an essential role. More specifically, various problems are investigated in areas, such as: optimization problems, polynomial approximation on unbounded subsets, moment problems, variational inequalities, evolutionary problems, dynamical systems, generalized convexity, partial differential equations, and special spaces of self-adjoint operators. With various examples and applications to complement and substantiate the mathematical developments, the present reprint is a valuable guide for researchers, engineers, and students in the field of mathematics, operations research, optimal control science, artificial intelligence, management science, and economics.

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