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Remarks on First and Second Order Periodic Boundary Value Problems

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Remarks on First and Second Order Periodic Boundary Value Problems

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dc.contributor.author Lakshmikantham, V. en
dc.date.accessioned 2010-06-03T17:55:27Z en
dc.date.available 2010-06-03T17:55:27Z en
dc.date.issued 1982-05 en
dc.identifier.uri http://hdl.handle.net/10106/2315 en
dc.description.abstract We consider the first and second order periodic boundary value problems (PBVP for brevity)[see pdf for notation] and [see pdf for notation]and obtain the existence of extremal solutions as limits of monotone iterates. In [2] and [3], the monotone method was employed for the problems (1.1) and (1.2) when the corresponding lower and upper solutions a(t),B(t) satisfy [see pdf for notation] in addition to other conditions. Furthermore, when f is increasing, it is shown [2,3] that the conditions (1.3) and (1.4) are tantamount to assuming the existence of a periodic solution. Accordingly, the problem of proving the existence of periodic solutions when the conditions (1.3) and (1.4) are violated becomes important and this question has been open. Our main objective in this paper is to investigate this open problem. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;200 en
dc.subject Periodic boundary value en
dc.subject Monotone method en
dc.subject Lower and upper solutions en
dc.subject Periodic solutions en
dc.subject.lcsh Mathematics Research en
dc.title Remarks on First and Second Order Periodic Boundary Value Problems en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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