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Existence and Comparison Results for Differential Equations in a Banach Space

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Existence and Comparison Results for Differential Equations in a Banach Space

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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 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

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