Nonlinear Analysis, Differential Equations, and Applications

Nonlinear Analysis, Differential Equations, and Applications（Springer Optimization and Its Applications）

非线性分析、微分方程及其应用
数学分析

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作者

Themistocles M. Rassias

出版社

Springer Berlin Heidelberg

出版时间

2021年12月07日

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ＩＳＢＮ

9783030725624

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语种

英文

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This contributed volume showcasesresearch and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of functional equations, edge degenerate pseudo-hyperbolic equations, Kirchhoff wave equation, BMO norms of operators on differential forms, equilibrium points of the perturbed R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg–Landau-type equation, multi-symplectic numerical schemes for differential equations, the Erd?s-Rényi network model, stronglym-convex functions, higher order strongly generalized convex functions, factorization and solution of second order differential equations, generalized topologically open sets in relator spaces, graphical mean curvature flow, critical point theory in infinite dimensional spaces using the Leray-Schauder index, non-radial solutions of a supercritical equation in expanding domains, the semi-discrete method for the approximation of the solution of stochastic differential equations, homotopic metric-interval L-contractions in gauge spaces, Rhoades contractions theory, network centrality measures, the Radon transform in three space dimensions via plane integration and applications in positron emission tomography boundary perturbations on medical monitoring and imaging techniques, the KdV-B equation and biomedical applications.

On compound superquadratic functions (Abramovich).-Best Hyers–Ulam stability constants on a time scale with discrete core and continuous periphery (Anderson).-Invariance solutions and blow-up property for edge degenerate pseudo-hyperbolic equations in edge Sobolev spaces (Cattani).-f4 solitons in Kirchhoff wave equation (Papadopoulos).-Estimates for Lipschitz and BMO norms of operators on differential forms (Ding).-Application of boundary perturbations on medical monitoring and imaging techniques (Kalantonis).-Poynting-Robertson and oblateness effects on the equilibrium points of the perturbed R3BP: Application on Cen X-4 binary system (Perdiou).-Localization and perturbation of complex zeros of solutions to second order differential equations with polynomial coefficients. A survey (Gil).-Dynamics of a higher-order Ginzburg–Landau-type equation (Horikis).-The role of differential equations in applied statistics (Kitsos).-Geometric derivation and analysis of multi-symplectic numerical schemes for differential equations (Vlachos).-Non-radial solutions of a supercritical equation in expanding domains: The limit case (Labropoulos).-Financial contagion in interbank networks: The case of Erd?s-Rényi network model (Leventides).-Higher order strongly m-convex functions (Noor).-Characterizations of higher order strongly generalized convex functions (Noor).-A note on generalized Nash games played on networks (Raciti).-Piecewise polynomial inversion of the Radon transform in three space dimensions via plane integration and applications in positron emission tomography (Protonotarios).-Factorization and solution of linear and nonlinear second order differential equations with variable coefficients and mixed conditions (Providas).-A General framework for studying certain generalized topologically open sets in relator spaces (Szaz).-Graphical mean curvature flow (Savas-Halilaj).-Critical point theory in infinite dimensional spaces using the Leray-Schauder index (Schechter).-Canonical systems of partial differential equations (Schechter).-The Semi-Discrete Method for the approximation of the solution of stochastic differential equations (Stamatiou).-Homotopic metric-interval L-contractions in gauge spaces (Turinici).-Analytic methods in Rhoades contractions theory (Turinici).-Nonlinear dynamics of the KdV-B equation and its biomedical applications (Xenos).

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