Enhanced Qualitative Results for Nonlinear Integro-Differential Equations of Higher Order

The objective of this study is to establish new and improved results on the stability and boundedness of solutions to higher-order integro-differential equations. The fundamental approach in the proofs involves defining a suitable new Lyapunov function to establish the novel results of this study. We provide two examples to verify the results of this study. This article presents novel results and significant contributions to the qualitative theory of higher-order integro-differential equations.