Existence and Comparison Results for Differential Equations in a Banach Space
dc.contributor.author | Lakshmikantham, V. | en |
dc.date.accessioned | 2010-05-25T17:18:12Z | en |
dc.date.available | 2010-05-25T17:18:12Z | en |
dc.date.issued | 1974-07 | en |
dc.identifier.uri | http://hdl.handle.net/10106/2154 | en |
dc.description.abstract | **Please note that the full text is embargoed** 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. | en |
dc.language.iso | en_US | en |
dc.publisher | University of Texas at Arlington | en |
dc.relation.ispartofseries | Technical Report;11 | en |
dc.subject | Cauchy problem | en |
dc.subject | Peano's theorem | en |
dc.subject | Picard's theorem | en |
dc.subject.lcsh | Differential equation | en |
dc.subject.lcsh | Cauchy problem | en |
dc.subject.lcsh | Banach spaces | en |
dc.subject.lcsh | Mathematics Research | en |
dc.title | Existence and Comparison Results for Differential Equations in a Banach Space | en |
dc.type | Technical Report | en |
dc.publisher.department | Department of Mathematics | en |