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Matematicheskie Zametki, 2019, Volume 105, Issue 1, paper published in the English version journal
(Mi mzm11390)
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This article is cited in 10 scientific papers (total in 10 papers)
Papers published in the English version of the journal
Extremal Solutions for Nonlinear First-Order
Impulsive Integro-Differential Dynamic Equations
L. Zhang, Y. F. Xing College of Science, Northwest A&F University,
Yangling, Shaanxi, 712100 PR China
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 a minimal and a maximal solution lying in a
corresponding region bounded by their lower and upper solutions.
Keywords:
time scale, impulsive dynamic equation, extremal solutions, fixed point.
Received: 26.09.2016 Revised: 23.04.2017
Citation:
L. Zhang, Y. F. Xing, “Extremal Solutions for Nonlinear First-Order
Impulsive Integro-Differential Dynamic Equations”, Math. Notes, 105:1 (2019), 123–131
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https://www.mathnet.ru/eng/mzm11390
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Abstract page: | 193 |
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