Geodesic
Razumikhin approach in the generalized Myshkis problem for systems with distributed delay
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 19 (2023) no. 2, pp. 148-161 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper gives sufficient conditions for the solvability of the generalized Myshkis problem for a system of equations with a distributed time-varying delay and a constant kernel. Conditions on the kernel which guarantee the uniform stability of the system for any admissible delay are obtained. The admissible delay in this paper is a piecewise continuous function bounded from above in magnitude and growth rate. The applicability of the obtained conditions is illustrated by two examples.
Keywords: time-delay system, stability, distributed delay, generalized Myshkis problem, Razumikhin approach. 
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A. V. Egorov. Razumikhin approach in the generalized Myshkis problem for systems with distributed delay. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 19 (2023) no. 2, pp. 148-161. http://geodesic.mathdoc.fr/item/VSPUI_2023_19_2_a1/

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