MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE EVOLUTION EQUATIONS WITH INFINITE DELAY

Xuping Zhang; Pan Sun; Donal O'Regan

doi:10.11948/20230357

2024 Volume 14 Issue 3

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Xuping Zhang, Pan Sun, Donal O'Regan. MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE EVOLUTION EQUATIONS WITH INFINITE DELAY[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1717-1734. doi: 10.11948/20230357

Citation:

Xuping Zhang, Pan Sun, Donal O'Regan. MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE EVOLUTION EQUATIONS WITH INFINITE DELAY[J]. Journal of Applied Analysis & Computation, 2024, 14(3): 1717-1734. doi: 10.11948/20230357

MONOTONE ITERATIVE TECHNIQUE FOR IMPULSIVE EVOLUTION EQUATIONS WITH INFINITE DELAY

1.
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China(Corresponding address)
2.
Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou 730070, China
3.
School of Mathematical and Statistical Sciences, University of Galway, Ireland

Author Bio: Email: psun0831@163.com(P. Sun); Email: donal.oregan@nuigalway.ie(D. O'Regan)
Corresponding author: Email: lanyu9986@126.com(X. Zhang)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 12301303), Young Doctor Fund Project of Gansu Provincial Department of Education (No. 2023QB-111), Funds for Innovative Fundamental Research Group Project of Gansu Province (No. 23JRRA684) and Project of NWNU-LKZD2023-03

Abstract

Abstract

In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence of solutions for the initial value problem of impulsive evolution equations with infinite delay in an ordered Banach space X. Finally, we give an example to illustrate our main results.
- Infinite delay /
- impulsive evolution equations /
- measure of noncompactness /
- lower and upper solutions
MSC: 34G20, 34K30, 47H08

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References

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