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Comparison Results for First and Second Order Boundary Value Problems at Resonance

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Comparison Results for First and Second Order Boundary Value Problems at Resonance

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dc.contributor.author Vatsala, A. S. en
dc.contributor.author Shendge, G. R. en
dc.date.accessioned 2010-06-03T18:17:23Z en
dc.date.available 2010-06-03T18:17:23Z en
dc.date.issued 1982-05 en
dc.identifier.uri http://hdl.handle.net/10106/2343 en
dc.description.abstract It is well known that the comparison principle for the initial value problems has been very useful in the theory of differential equations [1, 2,5]. Recently, such types of comparison results were developed for boundary value problems [3,4] and were used in proving the existence of solutions. It is natural to expect that comparison results for problems at resonance will he useful in proving, for example, existence results for periodic boundary value problems. Recently, existence of periodic solutions for first and second order differential equations have been considered by utilizing the method of upper and lower solutions and Lyapunov-Schmidt method, where certain simple comparison theorems have been proved [6,7]. In this paper, we develop systematically general comparison results of various types for boundary value problems at resonance for first and second order differential equations. We do hope that our general comparison theorems will play an important role in the existence theory of boundary value resonance. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;184 en
dc.subject Periodic boundary value problems en
dc.subject Theory of boundary value resonance en
dc.subject Comparison theorems en
dc.subject.lcsh Differential equations en
dc.subject.lcsh Mathematics Research en
dc.title Comparison Results for First and Second Order Boundary Value Problems at Resonance en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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