{"product_id":"generalized-quasilinearization-for-nonlinear-problems-v-lakshmikantham-9780792350385","title":"Generalized Quasilinearization for Nonlinear Problems","description":"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).\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e V. Lakshmikantham,A. S. Vatsala\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0792350383\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780792350385\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/31\/1998\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 278\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.69d","brand":"V. Lakshmikantham","offers":[{"title":"Hardcover","offer_id":47422669029631,"sku":"9780792350385","price":169.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_7f011a8a-43f3-4b74-bfff-d928861e3241.jpg?v=1761527896","url":"https:\/\/www.whiterainbookhouse.com\/products\/generalized-quasilinearization-for-nonlinear-problems-v-lakshmikantham-9780792350385","provider":"WR Book House","version":"1.0","type":"link"}