Generalized Quasilinearization for Nonlinear Problems

Lakshmikantham, V. & A.S. Vatsala

ISBN 10: 0792350383 / ISBN 13: 9780792350385

Published by Kluwer Academic Publishers, 1998

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Bookplate, otherwise text clean and solid; no dust jacket; Mathematics and its Applications; 9.21 X 6.14 X 0.69 inches; 286 pages. Seller Inventory # 208612

Bibliographic Details

Title: Generalized Quasilinearization for Nonlinear...

Publisher: Kluwer Academic Publishers

Publication Date: 1998

Binding: Hardcover

Condition: Very Good

Dust Jacket Condition: No Dust Jacket As Issued

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Synopsis:

The problems of modern society are complex, interdisciplinary and nonlin- ear. onlinear problems are therefore abundant in several diverse disciplines. Since explicit analytic solutions of nonlinear problems in terms of familiar, well- trained functions of analysis are rarely possible, one needs to exploit various approximate methods. There do exist a number of powerful procedures for ob- taining approximate solutions of nonlinear problems such as, Newton-Raphson method, Galerkins method, expansion methods, dynamic programming, itera- tive techniques, truncation methods, method of upper and lower bounds and Chapligin method, to name a few. Let us turn to the fruitful idea of Chapligin, see [27] (vol I), for obtaining approximate solutions of a nonlinear differential equation u' = f(t, u), u(O) = uo. Let fl' h be such that the solutions of 1t' = h (t, u), u(O) = uo, and u' = h(t, u), u(O) = uo are comparatively simple to solve, such as linear equations, and lower order equations. Suppose that we have h(t, u) s f(t, u) s h(t, u), for all (t, u).