libcats.org
Главная

Approximation-solvability of nonlinear functional and differential equations

Обложка книги Approximation-solvability of nonlinear functional and differential equations

Approximation-solvability of nonlinear functional and differential equations

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.
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb

Шликерное литье

Автор:
Категория: science, science, technical
Размер книги: 5.98 Mb
Только что пользователи скачали эти книги:

Уникальный учебник врача-гомеопата

Автор:
Категория: Медицина
Размер книги: 1.63 Mb

Волновой геном

Автор:
Размер книги: 8.60 Mb

Ёж

Автор:
Размер книги: 4.38 Mb

Сопротивление материалов

Автор: , Автор:
Категория: Машиностроение
Размер книги: 21.29 Mb

Methods for applied macroeconomic research

Автор:
Категория: G_Economics, GL_Econometrics
Размер книги: 5.52 Mb

The Law of Success In Sixteen Lessons (2 Volume Set)

Автор:
Размер книги: 8.02 Mb

Tender Mercies

Автор:
Категория: fiction
Размер книги: 403 Kb

Hector and the Secrets of Love

Автор:
Категория: fiction
Размер книги: 326 Kb