NONLINEAR ANALYSIS-HYBRID SYSTEMS, vol.2, no.2, pp.532-543, 2008 (SCI-Expanded)
Article / Article
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Quasi linear differential equations, The small parameter, Piecewise constant arguments of generalized type, Periodic solutions, Stability, PIECEWISE-CONSTANT ARGUMENT, DIFFERENTIAL-EQUATIONS, GREENS-FUNCTION
Middle East Technical University Affiliated:
In this paper we investigate the existence and stability of the periodic solutions of a quasilinear differential equation with piecewise constant argument. The continuous and differentiable dependence of the solutions on the parameter and the initial value is considered. A new Gronwall-Bellman type lemma is proved. Appropriate examples are constructed. (c) 2007 Elsevier Ltd. All rights reserved.