Applications of Nonlinear Analysis

Applications of Nonlinear Analysis（Springer Optimization and Its Applications）

非线性分析的应用
数学史

原价：

￥ 1015

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优惠

平台大促低至8折优惠

发货周期：外国库房发货，通常付款后3-5周到货

作者

Rassias

出版社

Springer Berlin Heidelberg

出版时间

2018年08月16日

装帧

精装

ＩＳＢＮ

9783319898148

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页码

853

语种

英文

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暂无评分

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New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theoryFixed-circle theoryCoupled fixed pointsNonlinear duality in Banach spacesJensen’s integral inequality and applicationsNonlinear differential equationsNonlinear integro-differential equationsQuasiconvexity, Stability of a Cauchy-Jensen additive mappingGeneralizations of metric spacesHilbert-type integral inequality, SolitonsQuadratic functional equations in fuzzy Banach spacesAsymptotic orbits in Hill’sproblemTime-domain electromagneticsInertial Mann algorithmsMathematical modellingRoboticsGraduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.

Chapter 01-New applications of ?-quasiconvexity.-Chapter 02-Criteria for convergence of iterates in acompression-expansion fixed point theorem offunctional type.-Chapter 03-On Lagrangian duality in infinite dimension and its applications.-Chapter 04-Stability analysis of the inverse problem ofparameter identification in mixed variational problems.-Chapter 05-Nonlinear duality in Banach spaces andapplications to finance and elasticity.-Chapter 06-Selective priorities in processing of big data.-Chapter 07-General inertial Mann algorithms and theirconvergence analysis for nonexpansive mappings.-Chapter 08-Reverses of Jensen’s integral inequality and applications: a survey of recentresults.-Chapter 09-Ordering structures and their applications.-Chapter 10-An overview on singular nonlinear ellipticboundary value problems.-Chapter 11-The Pilgerschritt (Liedl) transform on manifolds.-Chapter 12-On some mathematical models arising inlubrication theory.-Chapter 13-On the spectrum of a nonlinear two parametermatrix eigenvalue problem.-Chapter 14-On the properties of a nonlocal nonlinearSchr¨odinger model and its soliton solutions.-Chapter 15-Stability of a Cauchy-Jensen additive mappingin various normed spaces.-Chapter 16-NAN-RN approximately generalized additivefunctional equations.-Chapter 17-On the HUR-stability of quadratic functionalequations in fuzzy Banach spaces.-Chapter 18-Asymptotic orbits in Hill’s problem when the larger primary is a source of radiation.-Chapter 19-Computations for minors of Weighing Matriceswith application to the growth problem.-Chapter 20-Robots that do not avoid obstacles.-Chapter 21-On the exact solution of nonlinear integro-differential equations.-Chapter 22-Qualitative, approximate and numericalapproaches for the solution of nonlineardifferential equations.-Chapter 23-On a Hilbert-type integral inequality in the whole plane.-Chapter 24-Four conjectures in Nonlinear Analysis.-Chapter 25-Corelations are more powerful tools than relations.-Chapter 26-Rational contractions and coupled fixed points.-Chapter 27-A multiple Hilbert-type integral inequality in the whole space.-Chapter 28-Generalizations of Metric Spaces: From theFixed-Point Theory to the Fixed-Circle Theory.-Chapter 29-Finite-difference modeling of nonlinearphenomena in time-domain electromagnetics: A Review.

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