RESEARCH COMMONS
LIBRARY

Existence and Comparison Results for Differential Equations in a Banach Space

ResearchCommons/Manakin Repository

Existence and Comparison Results for Differential Equations in a Banach Space

Show full item record

Title: Existence and Comparison Results for Differential Equations in a Banach Space
Author: Lakshmikantham, V.
Abstract: The study of the Cauchy problem for differential equations in a Banach space has taken two different directions. One direction is to find compactness type conditions that guarantee only existence of solutions and the corresponding results are extensions of the classical Peano's theorem. The other approach is to employ monotonicity (accretive or dissipative) type conditions that assure existence as well as uniqueness of solutions. In fact, this latter method shows that uniqueness conditions imply existence of solutions also [37] and therefore may be regarded as extensions of the classical Picard's theorem.
URI: http://hdl.handle.net/10106/2154
Date: 1974-07

Files in this item

Files Size Format View Description
MathTechReport011.pdf 481.2Kb PDF View/Open PDF

This item appears in the following Collection(s)

Show full item record

Browse

My Account

Statistics

About Us