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An Asymptotic Result in Forced Oscillations of Pendulum-Type Equations

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An Asymptotic Result in Forced Oscillations of Pendulum-Type Equations

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dc.contributor.author Kannan, R. en
dc.contributor.author Ortega, R. en
dc.date.accessioned 2010-06-08T16:49:23Z en
dc.date.available 2010-06-08T16:49:23Z en
dc.date.issued 1985-04 en
dc.identifier.uri http://hdl.handle.net/10106/2378 en
dc.description.abstract The forced pendulum-type equation is given by [see pdf for notation] where [see pdf for notation] is continuous and T-periodic and p(t) is[see pdf for notation] -periodic. When g(x) = a sin x, a > 0, we obtain the classical pendulum equation. The question of existence of [see pdf for notation] periodic solution of (1.1) for a given p(t) has been studied recently in [1], [3], [5] (cf. [4] for an extensive bibliography). Throughout this paper we denote by [see pdf for notation] the average of [see pdf for notation]. Some of the existence literature obtains sufficient conditions on the magnitudes of [see pdf for notation] and [see pdf for notation] in order that (1.1) have [see pdf for notation]- periodic solutions. A second category of results in the literature involves studying the problem (1.1) as characterizing the p(t) that are in the range of the operator [see pdf for notation]acting on [see pdf for notation]- periodic functions. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;232 en
dc.subject Forced pendulum-type en
dc.subject Periodic solutions en
dc.subject Periodic functions en
dc.subject.lcsh Mathematics Research en
dc.subject.lcsh Trigonometry en
dc.title An Asymptotic Result in Forced Oscillations of Pendulum-Type Equations en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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