Logo

Nonlinear Analysis and Differential Equations

Small book cover: Nonlinear Analysis and Differential Equations

Nonlinear Analysis and Differential Equations
by

Publisher: University of Utah
Number of pages: 158

Description:
The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions. At the same time, we develop methods of analysis which may be applied to carry out the above and which have applications in many other areas of mathematics, as well.

Home page url

Download or read it online for free here:
Download link
(790KB, PDF)

Similar books

Book cover: A Second Course in Elementary Ordinary Differential EquationsA Second Course in Elementary Ordinary Differential Equations
by - Arkansas Tech University
Calculus of Matrix-Valued Functions of a Real Variable; nth Order Linear Differential Equations; General Solution of nth Order Linear Homogeneous Equations; Fundamental Sets and Linear Independence; Higher Order Homogeneous Linear Equations; etc.
(8311 views)
Book cover: Ordinary Differential EquationsOrdinary Differential Equations
by - National University of Singapore
From the table of contents: First Order Differential Equations; Linear Differential Equations; Second Order Linear Differential Equations; Linear Differential Systems; Power Series Solutions; Fundamental Theory of Ordinary Differential Equations.
(6390 views)
Book cover: Lectures on Analytic Differential EquationsLectures on Analytic Differential Equations
by - American Mathematical Society
A graduate-level textbook and survey of the recent results on analysis and geometry of differential equations in the real and complex domain. The book includes self-contained demonstrations of several fundamental results.
(10271 views)
Book cover: The Contraction Mapping Principle and Some ApplicationsThe Contraction Mapping Principle and Some Applications
by - American Mathematical Society
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric.
(5753 views)