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Existence Results for Nonlinear Impulsive System with Causal Operators

Author

Listed:
  • Wenli Wang

    (College of Mathematics and Information Sciences, Hebei University, Baoding 071002, China
    These authors contributed equally to this work.)

  • Junyan Bao

    (College of Mathematics and Information Sciences, Hebei University, Baoding 071002, China
    These authors contributed equally to this work.)

Abstract

In this paper, we establish sufficient conditions for some existence results for nonlinear impulsive differential equations involving causal operators. Our method is based on the monotone iterative technique, a new differential inequality, and the Schauder fixed point theorem. Moreover, we consider three impulsive differential equations as applications to verify our theoretical results.

Suggested Citation

  • Wenli Wang & Junyan Bao, 2024. "Existence Results for Nonlinear Impulsive System with Causal Operators," Mathematics, MDPI, vol. 12(17), pages 1-14, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2755-:d:1472200
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    References listed on IDEAS

    as
    1. Mingli Xia & Linna Liu & Jianyin Fang & Yicheng Zhang, 2023. "Stability Analysis for a Class of Stochastic Differential Equations with Impulses," Mathematics, MDPI, vol. 11(6), pages 1-10, March.
    2. Ma, Li & Li, Yujing & Zhu, Quanxin, 2023. "Stability analysis for a class of stochastic delay nonlinear systems driven by G-Lévy Process," Statistics & Probability Letters, Elsevier, vol. 195(C).
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