Geodesic
Method of Lyapunov functionals for a first order linear Volterra integro-differential equation with delay on a semiaxis
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 62-64 
S. Iskandarov; A. Khalilov. Method of Lyapunov functionals for a first order linear Volterra integro-differential equation with delay on a semiaxis. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2023), pp. 62-64. http://geodesic.mathdoc.fr/item/VMUMM_2023_3_a9/
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     title = {Method of {Lyapunov} functionals for a first order linear {Volterra} integro-differential equation with delay on a semiaxis},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Sufficient conditions are established to ensure the estimation, boundedness, power-law absolute integrability on the semiaxis, the tendency to zero under the tendency to infinity of the independent variable of all solutions of the linear Volterra integrodifferential equation of the first order with delay. For this purpose, a generalized Lyapunov functional is constructed. An illustrative example is presented.

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