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

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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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     author = {A. V. Egorov},
     title = {Razumikhin approach in the generalized {Myshkis} problem for systems with distributed delay},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {148--161},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2023_19_2_a1/}
}
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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/