{"product_id":"approximation-solvability-of-nonlinear-functional-and-differential-equations-9780824787936","title":"Approximation-Solvability of Nonlinear Functional and Differential Equations","description":"\u003cp\u003e • Author(s): Wolodymyr V. Petryshyn\u003cbr\u003e • Publisher: CRC Press\u003cbr\u003e • Publisher Imprint: CRC Press\u003cbr\u003e • BISAC: Calculus\u003c\/p\u003e\u003cp\u003eThis reference\/text develops a constructive theory of solvability on linear and nonlinear abstract and differential equations - involving A-proper operator equations in separable Banach spaces, and treats the problem of existence of a solution for equations involving pseudo-A-proper and weakly-A-proper mappings, and illustrates their applications.;Facilitating the understanding of the solvability of equations in infinite dimensional Banach space through finite dimensional appoximations, this book: offers an elementary introductions to the general theory of A-proper and pseudo-A-proper maps; develops the linear theory of A-proper maps; furnishes the best possible results for linear equations; establishes the existence of fixed points and eigenvalues for P-gamma-compact maps, including classical results; provides surjectivity theorems for pseudo-A-proper and weakly-A-proper mappings that unify and extend earlier results on monotone and accretive mappings; shows how Friedrichs' linear extension theory can be generalized to the extensions of densely defined nonlinear operators in a Hilbert space; presents the generalized topological degree theory for A-proper mappings; and applies abstract results to boundary value problems and to bifurcation and asymptotic bifurcation problems.;There are also over 900 display equations, and an appendix that contains basic theorems from real function theory and measure\/integration theory.\u003c\/p\u003e","brand":"CRC Press","offers":[{"title":"Hardcover","offer_id":46930743623831,"sku":"9780824787936","price":24364.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780824787936.webp?v=1771608796","url":"https:\/\/atlanticbooks.com\/products\/approximation-solvability-of-nonlinear-functional-and-differential-equations-9780824787936","provider":"Atlantic Books","version":"1.0","type":"link"}