ATTENTION: The works hosted here are being migrated to a new repository that will consolidate resources, improve discoverability, and better show UTA's research impact on the global community. We will update authors as the migration progresses. Please see MavMatrix for more information.
Show simple item record
dc.contributor.author | Laughn, R. L. | en |
dc.contributor.author | Vatsala, A. S. | en |
dc.date.accessioned | 2010-06-01T18:51:59Z | en |
dc.date.available | 2010-06-01T18:51:59Z | en |
dc.date.issued | 1979-10 | en |
dc.identifier.uri | http://hdl.handle.net/10106/2206 | en |
dc.description.abstract | **Please note that the full text is embargoed** ABSTRACT: The study of Cauchy problem for ordinary differential equations in a Banach space has been extensive [2,4,10]. It is of interest to look
at the corresponding problem for delay differential equations since such equations occur in many physical problems. Existence of solutions of such equations are considered in [6,8,9] using monotonicity conditions and dissipative conditions.In this paper our objective is to prove the existence of extremal solutions for the delay differential equation [see pdf for notation] (1.1)
relative to a cone k of the Banach space E. For this purpose, we begin by proving an existence result under a simple set of conditions without assuming uniform continuity on f we then develop needed theory of differential inequalities and utilize this to show the existence of extremal solutions for (1.1) Several useful comparison theorems are
then proved including a flow invariance result. Our results generalize some of the recent results for equations without delay [5,7]. | en |
dc.language.iso | en_US | en |
dc.publisher | University of Texas at Arlington | en |
dc.relation.ispartofseries | Technical Report;114 | en |
dc.subject | Extremal solutions | en |
dc.subject | Banach space E | en |
dc.subject | Cone k | en |
dc.subject.lcsh | Delay differential equations | en |
dc.subject.lcsh | Mathematics Research | en |
dc.title | Existence of Extremal Solutions and Comparison Results for Delay Differential Equations in Abstract Cones | en |
dc.type | Technical Report | en |
dc.publisher.department | Department of Mathematics | en |
Files in this item
- Name:
- MathTechReport114.pdf
- Size:
- 563.5Kb
- Format:
- PDF
- Description:
- PDF
This item appears in the following Collection(s)
Show simple item record