Titlebook: Nonlinear Analysis, Differential Equations, and Applications; Themistocles M. Rassias Book 2021 Springer Nature Switzerland AG 2021 nonlin

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Invariance Solutions and Blow-Up Property for Edge Degenerate Pseudo-Hyperbolic Equations in Edge S spaces. Then, by using a family of modified potential wells and concavity methods, it is obtained existence and nonexistence results of global solutions with exponential decay and is shown the blow-up in finite time of solutions on the manifold with edge singularities.

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Higher Order Strongly ,-convex Functions,tigated under suitable conditions. It is shown that the parallelogram laws for Banach spaces can be obtained as applications of higher order strongly .-convex functions. Results obtained in this paper can be viewed as refinement and significant improvement of previously known results.

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Factorization and Solution of Linear and Nonlinear Second Order Differential Equations with Variabltion into linear components of the same or lower order and the factorization of the associated second order linear differential operators. The implementation and efficiency of the procedure is shown by solving several examples.

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Book 2021ns, 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, cur

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Localization and Perturbation of Complex Zeros of Solutions to Second Order Differential Equations ums and products of the zeros are also discussed. In addition, we investigate the variation of the zeros of solutions under perturbations of the coefficients. Illustrative examples are also presented. A part of the results presented in the paper is new.

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