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dc.contributor.author | Lakshmikantham, V. | en |
dc.contributor.author | Deimling, K. | en |
dc.date.accessioned | 2010-06-01T18:50:08Z | en |
dc.date.available | 2010-06-01T18:50:08Z | en |
dc.date.issued | 1979-08 | en |
dc.identifier.uri | http://hdl.handle.net/10106/2204 | en |
dc.description.abstract | **Please note that the full text is embargoed** ABSTRACT: In the study of comparison theorems and extremal solutions for systems of ordinary differential equations [5], one usually imposes a condition on the right hand side known as quasi-monotone nondecreasing property. This property. is also needed in proving comparison theorems for second order, boundary value problems [9] as well as for the initial boundary value problem for parabolic systems [5, 6]. Also, it is well known that in the .method of vector Lyapunov functions which provides an effective tool to investigate the stability of Large Scale Systems [1-4], an unpleasant drawback is the requirement of the quasi-monotone property for the comparison systems.
In systems which represent physical situations, we rather often find that this property is not satisfied. | en |
dc.language.iso | en_US | en |
dc.publisher | University of Texas at Arlington | en |
dc.relation.ispartofseries | Technical Report;112 | en |
dc.subject | Differential equations | en |
dc.subject | Quasisolutions | en |
dc.subject | Banach spaces | en |
dc.subject.lcsh | Mathematics Research | en |
dc.title | Quasi-Solutions and Their Role in the Qualitative Theory of Differential Equations | en |
dc.type | Technical Report | en |
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