Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications /
This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics. The authors expound the recent result on the ge...
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| Other Authors: | , , |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands,
2002.
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| Series: | Mathematics and its applications ;
550. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics. The authors expound the recent result on the generalized eigen-value problem, the perturbation method, Schmidt's pseudo-inversion for regularization of linear and nonlinear problems in the branching theory and group methods in bifurcation theory. The book covers regular iterative methods in a neighborhood of branch points and the theory of differential-operator equations with a non-invertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xx, 548 pages) |
| ISBN: | 9789401721226 (electronic bk.) 940172122X (electronic bk.) |