Approximation-solvability Of Nonlinear Functional And Differential Equations - Wolodymyr V. Petryshyn

This Referencetext 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 Measureintegration Theory.