Existence of solutions to a paratingent equation with delayed argument
Date
2005-01-30
Authors
Boudjenah, Lotfi
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this work we prove the existence of solutions of a class of paratingent equations with delayed argument,
(Pt x) (t) ⊂ F([x]t) for t ≥ 0
with the initial condition x(t) = ξ(t) for t ≤ 0. We use a fixed point theorem to obtain a solution and then provide an estimate for the solution.
Description
Keywords
Convex delayed argument, Differential inclusions, Paratingent, Set-valued function, Upper semi-continuity
Citation
Boudjenah, L. (2005). Existence of solutions to a paratingent equation with delayed argument. <i>Electronic Journal of Differential Equations, 2005</i>(14), pp. 1-8.
Rights
Attribution 4.0 International