2017
Том 69
№ 6

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Volterra functional integral equation of the first kind with nonlinear right-hand side and variable limits of integration

Artykova J. A., Yuldashev T. K.

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Abstract

We prove a theorem on the existence and uniqueness of a solution of a Volterra functional integral equation of the first kind with nonlinear right-hand side and nonlinear deviation. We use the method of successive approximations combined with the method of contracting mappings.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 9, pp 1458-1461.

Citation Example: Artykova J. A., Yuldashev T. K. Volterra functional integral equation of the first kind with nonlinear right-hand side and variable limits of integration // Ukr. Mat. Zh. - 2006. - 58, № 9. - pp. 1285–1288.

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