Existence and Controllability for Second-Order Functional Differential Equations With Infinite Delay and Random Effects

Srinivasan Madhumitha, Tharmalingam Gunasekar, Ammar Alsinai, Prabakaran Raghavendran, Read S. A. Qahtan and Elena Kaikina

International Journal of Differential Equations, 2024, vol. 2024, 1-9

Abstract: This paper investigates the existence and controllability of second-order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions. Additionally, the controllability of the system is analyzed using fixed point theory, demonstrating that the solutions can be controlled under specific criteria. An example is included to illustrate the application of the theoretical results.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:5541644

DOI: 10.1155/ijde/5541644

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