S. Iskandarov, “Uniqueness of solutions to first and third order Volterra type integral equations on a semiaxis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, Number 6,Pages <nobr>70

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Uniqueness of solutions to first and third order Volterra type integral equations on a semiaxis

S. Iskandarov

Institute of Mathematics of the National Academy of Sciences of the Kyrgyz Republic

Abstract: We establish sufficient conditions for the uniqueness of solutions in the space of functions continuous on the semiaxis of Volterra integral equations of first and third kinds in the case when the kernels of these equations can be alternating on the diagonal. Illustrative examples are given.

Key words: Volterra integral equation of first kind, Volterra integral equation of third kind, uniqueness of the solution, method of weight and бutting functions.

UDC: 517.968.22

Received: 11.12.2017