Existence Theorems for a Class of Functional Differential Systems

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Existence Theorems for a Class of Functional Differential Systems

Show simple item record Pachpatte, B. G. en Ladde, G. S. en 2010-06-09T14:52:26Z en 2010-06-09T14:52:26Z en 1981-06 en
dc.identifier.uri en
dc.description.abstract In recent papers [2,6], the authors have established existence and comparison theorems for the well known Cauchy problem for ordinary differential equations without using the monotone property on the given system. These results are obtained under the conditions of the type which have been considered in the classical paper of Müller [8]. The interesting feature of the results established in [2,6], is the fact that the solutions of the Cauchy problem remain in the given sector. In this paper, we shall first establish existence and comparison theorems for a class of more general functional differential systems without using monotone property. Further we develop a monotone iterative technique to establish the existence of minimal and maximal solutions. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;165 en
dc.subject Minimal and maximal solution en
dc.subject Monotone iterative technique en
dc.subject Existence theorems en
dc.subject Comparison theorems en
dc.subject Functional differential systems en
dc.subject Cauchy problem en
dc.subject.lcsh Mathematics Research en
dc.title Existence Theorems for a Class of Functional Differential Systems en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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