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Asymptotics of Nonlinearities and Operator Equations
β Scribed by Alexander M. Krasnoselβskii (auth.)
- Publisher
- BirkhΓ€user Basel
- Year
- 1995
- Tongue
- English
- Leaves
- 283
- Series
- Operator Theory 76
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
New methods for solving classical problems in the theory of nonlinear operator equations (solvability, multiple solutions, bifurcations, nonlinear resonance, potential methods, etc) are introduced and discussed. The general abstract theorems are illustrated by various applications to differential equations and boundary value problems. In particular, the problem on forced periodic oscillations is considered for equations arising in control theory.
β¦ Table of Contents
Front Matter....Pages i-viii
Norm estimates for solutions of integral-functional inequalities....Pages 1-42
Two-sided estimates for nonlinearities....Pages 43-83
The use of arguments of leading eigenvalues....Pages 85-133
Weak nonlinearities....Pages 135-184
One-sided estimates for nonlinearities....Pages 185-266
Back Matter....Pages 267-278
β¦ Subjects
Mathematics, general
π SIMILAR VOLUMES
<p><P>Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first boo
<p>Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown '