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Hyers-Ulam stability of Volterra type integral equations on time scales. (English) Zbl 1454.45001

Summary: In this paper, we study Hyers-Ulam stability of general Volterra type integral equations on unbounded and bounded time scales. We give an existence and uniqueness conditions of the solutions of Volterra type integral equations on time scales using Banach contraction principle, Bielecki type norm and Lipschitz type functions. Furthermore it allows to get sufficient conditions for Hyers-Ulam stability.

MSC:

45D05 Volterra integral equations
45G10 Other nonlinear integral equations
34N05 Dynamic equations on time scales or measure chains
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