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dc.contributor.author | Mitchell, Roger W. | en |
dc.contributor.author | Mitchell, A. Richard | en |
dc.date.accessioned | 2010-05-26T15:45:18Z | en |
dc.date.available | 2010-05-26T15:45:18Z | en |
dc.date.issued | 1974-03 | en |
dc.identifier.uri | http://hdl.handle.net/10106/2174 | en |
dc.description.abstract | **Please note that the full text is embargoed** ABSTRACT: A differential system [see pdf for notation] where [see pdf for notation] has asymptotic equilibrium if 1) for any initial condition [see pdf for notation] the system has a solution [see pdf for notation] existing on and such that [see pdf for notation] exists and is
finite, and 2) for any v e B there exists [see pdf for notation] and a solution x(t) of (1)-(2) with [see pdf for notation] Several papers have appeared dealing with asymptotic equilibrium of (1)-(2) when [see pdf for notation], and f is majorized by a scalar function g(t,u) which is monotone in u for each t, [1,3]. However, when B is an arbitrary Banach space additional restrictions must be placed on f, (see [p.161,4; 5]). In [7] a set of sufficient conditions for local existence of solutions of (1)-(2) in an arbitrary Banach space is given. These conditions include the use of the Kuratowski measure of non-compactness of bounded sets, denoted throughout this paper by a (see [2,7]). Since our goal will be to give sufficient conditions for asymptotic equilibrium of (1)-(2) using [see pdf for notation], the first lemma
incorporates some known properties of [see pdf for notation] (see [7]). | en |
dc.language.iso | en_US | en |
dc.publisher | University of Texas at Arlington | en |
dc.relation.ispartofseries | Technical Report;7 | en |
dc.subject | Asymptotic equilibrium | en |
dc.subject | Differential system | en |
dc.subject | Banach spaces | en |
dc.subject | Measure of non-compactness | en |
dc.subject.lcsh | Mathematics Research | en |
dc.title | Asymptotic Equilibrium of Ordinary Differential Systems in a Banach Space | en |
dc.type | Technical Report | en |
dc.publisher.department | Department of Mathematics | en |
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