Hyers-Ulam-Rassias Stability of Nonlinear Second Order Differential Equations with Forcing Term
DOI :
https://doi.org/10.62054/ijdm/0303.11Résumé
This paper investigates the Hyers-Ulam-Rassias stability of two classes of nonlinear second-order differential equations with forcing terms. Using the Gronwall-Bellman- Bihari integral inequality and its generalizations, we establish sufficient conditions for stability and derive explicit formulas for the corresponding stability constants. The existence and uniqueness of solutions are established under appropriate Lipschitz conditions. Several special cases are analyzed, and illustrative examples are provided to demonstrate the applicability of our theoretical results.
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