| 期刊全称 | A Variational Approach to Lyapunov Type Inequalities | | 期刊简称 | From ODEs to PDEs | | 影响因子2023 | Antonio Cañada,Salvador Villegas | | 视频video | | | 发行地址 | Exposition brings the reader to the forefront of research of Lyapunov-type inequalities, core ideas and general methods.Contains applications to nonlinear resonant problems and stability theory.Provid | | 学科分类 | SpringerBriefs in Mathematics | | 图书封面 |  | | 影响因子 | .This book highlights the current state of Lyapunov-type inequalities through a detailed analysis. Aimed toward researchers and students working in differential equations and those interested in the applications of stability theory and resonant systems, the book begins with an overview Lyapunov’s original results and moves forward to include prevalent results obtained in the past ten years. Detailed proofs and an emphasis on basic ideas are provided for different boundary conditions for ordinary differential equations, including Neumann, Dirichlet, periodic, and antiperiodic conditions. Novel results of higher eigenvalues, systems of equations, partial differential equations as well as variational approaches are presented. To this respect, a new and unified variational point of view is introduced for the treatment of such problems and a systematic discussion of different types of boundary conditions is featured...Various problems make the study of Lyapunov-type inequalities of interest to those in pure and applied mathematics. Originating with the study of the stability properties of the Hill equation, other questions arose for instance in systems at resonance, crystallography, is | | Pindex | Book 2015 |
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发表于 2025-3-21 17:23:00
