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 First Course in Elementary Differential EquationsA First Course in Elementary Differential Equations
by - Arkansas Tech University
Contents: Basic Terminology; Qualitative Analysis: Direction Field of y'=f(t,y); Existence and Uniqueness of Solutions to First Order Linear IVP; Solving First Order Linear Homogeneous DE; Solving First Order Linear Non Homogeneous DE; etc.
(11975 views)
Book cover: Periodic Solutions for Evolution EquationsPeriodic Solutions for Evolution Equations
by - American Mathematical Society
We study the existence and uniqueness of periodic solutions for evolution equations. We analyze the one-dimensional case, then for arbitrary dimensions. We consider linear symmetric operators. We prove the same results for non-linear operators.
(9738 views)
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.
(12355 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.
(9883 views)