Existence Results for Nonlinear Impulsive System with Causal Operators

Wenli Wang and Junyan Bao ()
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Wenli Wang: College of Mathematics and Information Sciences, Hebei University, Baoding 071002, China
Junyan Bao: College of Mathematics and Information Sciences, Hebei University, Baoding 071002, China

Mathematics, 2024, vol. 12, issue 17, 1-14

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.

Keywords: causal operators; impulsive system; quasi-solutions; monotone iterative technique (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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