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Mathematical Notes

, Volume 105, Issue 1–2, pp 123–131 | Cite as

Extremal Solutions for Nonlinear First-Order Impulsive Integro-Differential Dynamic Equations

  • L. ZhangEmail author
  • Y. F. Xing
Article
  • 8 Downloads

Abstract

This paper is concerned with the initial-value problem for nonlinear first-order impulsive integro-differential equations on time scales \(\mathbb{T}\) . We establish certain existence criteria by using a fixed-point theorem for operator on cones, under which such problems have aminimal and amaximal solution lying in a corresponding region bounded by their lower and upper solutions.

Keywords

time scale impulsive dynamic equation extremal solutions fixed point 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.College of ScienceNorthwest A&F UniversityYanglingChina

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