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Impulsive neutral functional differential inclusions with variable times. (English) Zbl 1044.34041

The authors investigate the existence of solutions for first- and second-order impulsive neutral functional-differential inclusions with variable times, by using Martelli’s fixed-point theorem for condensing multivalued maps. The results of M. Benchohra, J. Henderson and S.K. Ntouyas [Comput. Math. Appl. 42, 1303-1310 (2001; Zbl 1005.34069); Appl. Anal. 80, No.3-4, 353-365 (2001; Zbl 1031.34079) and Appl. Math. Lett. 15, No.8, 917-924 (2002; Zbl 1219.34097)] are extended.

MSC:

34K45 Functional-differential equations with impulses
34A60 Ordinary differential inclusions
34K40 Neutral functional-differential equations
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