Methods of Nonlinear Analysis: Applications to Differential Equations

Description

Designed as textbook for advanced undergraduate and graduate students and useful as handbook of nonlinear methods for scientists and engineers
Exercises are an organic part of the exposition and accompany the reader throughout the book
Accessible to beginners by avoiding too many technical details and keeping key assertions simple
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations.
The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists.

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1. Ebooks list page : 2131
2. Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
3. Variational Methods in Image Segmentation (Progress in Nonlinear Differential Equations and Their Applications, Vol 14)
4. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
5. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
6. Entire solutions of semilinear elliptic equations (Progress in Nonlinear Differential Equations and Their Applications)
7. Nonlinear Analysis and Differential Equations
8. Geometric Analysis and Nonlinear Partial Differential Equations
9. Patterns and Waves: Qualitative Analysis of Nonlinear Differential Equations
10. Patterns and Waves: Qualitative Analysis of Nonlinear Differential Equations
11. Multiscale Wavelet Methods for Partial Differential Equations (Wavelet Analysis and Its Applications)
12. The Maximum Principle (Progress in Nonlinear Differential Equations and Their Applications)
13. Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods
14. Vortices in Bose-Einstein Condensates (Progress in Nonlinear Differential Equations and Their Applications)
15. Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods
16. Mathematical Methods for Engineers and Scientists 3: Fourier Analysis, Partial Differential Equations and Variational Methods