Anti-periodic Solutions of Quasilinear Impulsive Systems with Piecewise Constant Argument of Generalized Type

Fatma Tokmak Fen; Mehmet Onur Fen; Eman Bakır Ahmad Ajm

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arXiv · 2607.10920

Anti-periodic Solutions of Quasilinear Impulsive Systems with Piecewise Constant Argument of Generalized Type

Fatma Tokmak Fen·Mehmet Onur Fen·Eman Bakır Ahmad Ajm

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Abstract

This study is devoted to anti-periodic solutions of quasilinear impulsive systems with piecewise constant argument of generalized type. We rigorously prove the existence and uniqueness of an anti-periodic solution making use of the Banach fixed point theorem. The presence of a term with piecewise constant argument is the main novelty. Appropriate examples which support the theoretical findings are provided.

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Fatma Tokmak Fen, Mehmet Onur Fen, Eman Bakır Ahmad Ajm. 2026-07-12. Anti-periodic Solutions of Quasilinear Impulsive Systems with Piecewise Constant Argument of Generalized Type. https://arxiv.org/abs/2607.10920

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