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The Ulam stability of non-linear Volterra integro-dynamic equations on time scales


Abstract


This manuscript presents the Ulam stability results of non-linear Volterra integro-dynamic equation and its adjoint equation on time scales. First, we obtain the Ulam stability of adjoint equation by using the integrating factor method. Then, the Ulam stability of the corresponding equation is proved by means of the property of the exponential function and related results that are proved in adjoint equation with the help of integrating factor method. At the end, an example is given that shows the validity of our main results.

DOI Code: 10.1285/i15900932v39n2p57

Keywords: Ulam stability; time scales; Volterra integro-dynamic equation; integrating factor

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