Abstract
The primary concern of this article is to establish the existence, uniqueness and continuous dependence on initial data of mild solutions of second order mixed integrodifferential equations of Sobolev type in Banach spaces. For this objective, we employ the idea of strongly continuous cosine family of operators, the modified version of Banach theorem and Grownwall’s inequality. The model is demonstrated to elucidate the abstract conclusion.
Recommended Citation
Kumar, Kamalendra and Tripathi, Manish Nath
(2024).
Existence and Uniqueness of Solutions of Sobolev Type Second Order Integrodifferential Equation,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 19,
Iss.
3, Article 1.
Available at:
https://digitalcommons.pvamu.edu/aam/vol19/iss3/1