{"product_id":"approximation-solvability-of-nonlinear-functional-and-differential-equations","title":"Approximation-solvability of Nonlinear Functional and Differential Equations","description":"This 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.","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":54256011280728,"sku":"9780824787936","price":328.6,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780824787936_b232ae07-3b9d-4451-a70b-5e8ebd4996ac.jpg?v=1777273261","url":"https:\/\/agendabookshop.com\/products\/approximation-solvability-of-nonlinear-functional-and-differential-equations","provider":"Agenda Bookshop","version":"1.0","type":"link"}