Mixed Problem for an Impulsive Parabolic Integro-Differential Equation with Involution and Nonlinear Conditions

Author:

Abdullozhonova A. N.,Yuldashev T. K.,Fayziyev A. K.

Publisher

Pleiades Publishing Ltd

Reference50 articles.

1. M. M. Cavalcanti, V. N. D. Cavalcanti, and J. Ferreira, ‘‘Existence and uniform decay for a nonlinear viscoelastic equation with strong damping,’’ Math. Methods Appl. Sci. 24, 1043–1053 (2001).

2. Ya. V. Bykov, On Some Problems in the Theory of Integro-Differential Equations (Kirg. Gos. Univ., Frunze, 1957) [in Russian].

3. D. S. Dzhumabaev and S. T. Mynbayeva, ‘‘New general solution to a nonlinear Fredholm integro-differential equation,’’ Euras. Math. J. 10 (4), 24–33 (2019).

4. M. M. Vainberg, ‘‘Integro-differential equations,’’ Itogi Nauki Tekh., Ser. Mat. Anal., Teor. Veroyatn. Regulir., p. 5–37 (1964).

5. N. A. Sidorov, ‘‘Solution of the Cauchy problem for a class of integro-differential equations with analytic nonlinearities,’’ Differ. Uravn. 4, 1309–1316 (1968).

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