2019
Том 71
№ 6

All Issues

Khachatryan A. Kh.

Articles: 4
Article (Russian)

On the construction of a nonnegative solution for one class of Urysohn-type nonlinear integral equations on a semiaxis

Khachatryan A. Kh., Khachatryan Kh. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2011. - 63, № 1. - pp. 110-118

We investigate a class of Urysohn-type nonlinear integral equations with noncompact operator. We assume that Wiener-Hopf-Hankel-type linear integral operator is local minorant for initial Urysohn operator. We prove alternative theorem on the existence of positive solutions and investigate asymptotic behavior of obtained solutions at infinity.

Letter (Russian)

Letter to the Editor

Khachatryan A. Kh., Khachatryan Kh. A.

Full text (.pdf)

Ukr. Mat. Zh. - 2010. - 62, № 6. - pp. 865

Article (Russian)

On some systems of convolution-type first-order integrodifferential equations on the semiaxis

Khachatryan A. Kh., Khachatryan Kh. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2009. - 61, № 9. - pp. 1277-1292

We study a class of vector convolution-type integrodifferential equations on the semiaxis used for the description of various applied problems of mathematical physics. By using a special three-factor decomposition of the original mathematical integrodifferential operator, we prove the solvability of these equations in certain functional spaces.

Article (English)

Factorization of a convolution-type integro-differential equation on the positive half line

Khachatryan A. Kh., Khachatryan Kh. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2008. - 60, № 11. - pp. 1555–1567

Sufficient conditions for the existence of solutions are obtained for a class of convolution-type integro-differential equations on the half line. The investigation is based on the three-factor decomposition of the initial integro-differential operator.