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APPROXIMATE SOLUTIONS FOR PERTURBED MEASURE DIFFERENTIAL EQUATIONS WITH MAXIMA
Journal: International Journal of Engineering Sciences & Research Technology (IJESRT) (Vol.5, No. 9)Publication Date: 2016-09-30
Authors : S. S. Bellale; G. B. Dapke;
Page : 436-444
Keywords : he abstract measure differential equation; the abstract measure integral eq uation; approximation solutions;
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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] un der Caratheodory and Lipschitz conditions. An example is also proved to illustrate the hypothesis and abstract theory developed in this paper.
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Last modified: 2016-09-16 18:45:44