APPROXIMATE SOLUTIONS FOR PERTURBED MEASURE DIFFERENTIAL EQUATIONS WITH MAXIMA
Journal Title: International Journal of Engineering Sciences & Research Technology - Year 30, Vol 5, Issue 9
Abstract
In this paper, we study an approximation of the solutions for perturbed abstract measure differential equations with maxima via hybrid fixed point theorem of Dhage [ B.C.Dhage, on some nonlinear alternatives of Leray-Schauder type and functional integral equations, Arch. Math.(Brno) 42(2006), 11-23] under Caratheodory and Lipschitz conditions. An example is also proved to illustrate the hypothesis and abstract theory developed in this paper.
Authors and Affiliations
S. S. Bellale*
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