Titlebook: Nonlinear Functional Analysis: A First Course; S. Kesavan Textbook 2022Latest edition Hindustan Book Agency 2022 nonlinear analysis.degree

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Redundant

,Critical Points of?Functionals,cal points of appropriate functionals. Let . be a real Hilbert space, and let . be a differentiable functional. Then, for ., we have ., the dual space, and by the Riesz representation theorem, . can be identified with .. Thus, . can be thought of as a mapping of . into itself and . for all ., where . denotes the inner product of ..

LOPE

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Abnormal

https://doi.org/10.1007/978-981-16-6347-5nonlinear analysis; degree theory; bifurcation theory; critical points; nonlinear partial differential e

inclusive

S. KesavanDiscusses basic theory of topological and variational methods used in solving nonlinear equations.Includes the proof and applications of the discussed methods.Provides solved examples and exercises of

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neoplasm

Nonlinear Functional Analysis: A First Course978-981-16-6347-5Series ISSN 2366-8717 Series E-ISSN 2366-8725

減弱不好

The Brouwer Degree,The topological degree is a useful tool in the study of existence of solutions to nonlinear equations. In this chapter, we will study the finite dimensional version of the degree, known as the Brouwer degree.

Exuberance

,The Leray–Schauder Degree,Let . be a real Banach space. A compact perturbation of the identity in . is closed (i.e. maps closed sets into closed sets) and proper (i.e. inverse images of compact sets are compact).

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