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arxiv: 1608.04827 · v1 · pith:CPYK3C6Gnew · submitted 2016-08-17 · 🧮 math.DS

Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales

classification 🧮 math.DS
keywords integraltimecertainequationsintegro-dynamicnonlinearscalevolterra-fredholm
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In this paper we study well posedness of a certain nonlinear Volterra-Fredholm dynamic integral and integro-dynamic equations on unbounded interval from arbitrary time scale. We derive the time scale analogue of certain integral inequalities of Pachpatte type and using them with Banach's fixed-point theorem to establish the results.

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