Representations of solutions of first order linear canonical hyperbolic integro-differential equations

A. G. Agamaliyev; K. B. Mansimov; R. O. Mastaliev

Geodesic

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Representations of solutions of first order linear canonical hyperbolic integro-differential equations

A. G. Agamaliyev ; K. B. Mansimov ; R. O. Mastaliev

Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2024), pp. 86-92

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Résumé

In this paper, we consider the boundary value problem for one class of linear hyperbolic integro-differential equations of the first order. With the help of analogies of the Cauchy matrix and the resolvent, representations of the solution of the considered boundary value problem are obtained.

Keywords: Linear hyperbolic integro-differential equations; representation of solutions; analog of the Cauchy matrix; second order Volterra equations

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A. G. Agamaliyev; K. B. Mansimov; R. O. Mastaliev. Representations of solutions of first order linear canonical hyperbolic integro-differential equations. Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2024), pp. 86-92. http://geodesic.mathdoc.fr/item/BGUMI_2024_1_a7/