On the Solution Behavior and Stability of Adjoint Impulsive Neutral Integro Dynamic Models

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DOI: https://doi.org/10.28924/2291-8639-24-2026-294
Published: Sep 21, 2026
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Ahmed Morsy, C. Anusha, C. Ravichandran, Kottakkaran Sooppy Nisar, On the Solution Behavior and Stability of Adjoint Impulsive Neutral Integro Dynamic Models, Int. J. Anal. Appl., 24 (2026), 294.

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Ahmed Morsy, C. Anusha, C. Ravichandran, Kottakkaran Sooppy Nisar

Abstract

In this study, nonlinear impulsive neutral Hammerstein dynamic equations on finite time scales are established, and conditions guaranteeing the existence, uniqueness, and Ulam-type stability of their solutions are derived. The research establishes and validates specific criteria that provide solutions of existence and uniqueness by using the Picard operator and the Banach contraction principle. By extending integral impulsive inequalities to time scale frameworks, the study delves deeper into Ulam-type stability. A strong theoretical framework is made possible by the introduction of well thought of assumptions to help navigate the complexity of these findings. To verify the findings and demonstrate their relevance in solving problems pertaining to dynamic systems, a specific example is provided.

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