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Analysis of a hybrid integro-differential inclusion

Ahmed El-Sayed, Hind Hashem, Shorouk Al-Issa

Boundary Value Problems · 2022

doi:10.1186/s13661-022-01650-w (opens in a new tab)

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Abstract

Our main objectives in this paper are to investigate the existence of the solutions for an integro-differential inclusion of second order with hybrid nonlocal boundary value conditions. The sufficient condition for the uniqueness of the solution will be given and the continuous dependence of the solution on the set of selections and on other functions will be proved. As an application, the nonlocal problem of the Chandrasekhar hybrid second-order functional integrodifferential inclusion and some particular cases will be presented. Also, we provide some examples to illustrate our results.

Abstract licence: CC BY-NC-ND

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