Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications) (Volume 550) by Nikolay Sidorov, Boris Loginov, A.V. Sinitsyn, M.V. Falaleev
Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications) (Volume 550) by Nikolay Sidorov, Boris Loginov, A.V. Sinitsyn, M.V. Falaleev PDF, ePub eBook D0wnl0ad
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.From reader reviews:
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