Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales

Yanfang Li; Donal O’Regan; Jiafa Xu

doi:10.1007/s12346-024-00954-9

Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales

Yanfang Li, Donal O’Regan, Jiafa Xu

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence of nontrivial solutions under some conditions concerning the spectral radius of this linear operator. Our method improves and generalizes some results in the literature.

Original language	English
Article number	102
Journal	Qualitative Theory of Dynamical Systems
Volume	23
Issue number	3
DOIs	https://doi.org/10.1007/s12346-024-00954-9
Publication status	Published - Jul 2024

Keywords

Integral boundary value problems
Nontrivial solutions
On time scales
Topological degree

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10.1007/s12346-024-00954-9

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abstract = "In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence of nontrivial solutions under some conditions concerning the spectral radius of this linear operator. Our method improves and generalizes some results in the literature.",

keywords = "Integral boundary value problems, Nontrivial solutions, On time scales, Topological degree",

author = "Yanfang Li and Donal O{\textquoteright}Regan and Jiafa Xu",

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AU - Li, Yanfang

AU - O’Regan, Donal

AU - Xu, Jiafa

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

PY - 2024/7

Y1 - 2024/7

N2 - In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence of nontrivial solutions under some conditions concerning the spectral radius of this linear operator. Our method improves and generalizes some results in the literature.

AB - In this paper we use topological degree to study the solvability for a first-order impulsive integral boundary value problem on time scales. We first construct a linear operator, and then obtain the existence of nontrivial solutions under some conditions concerning the spectral radius of this linear operator. Our method improves and generalizes some results in the literature.

KW - Integral boundary value problems

KW - Nontrivial solutions

KW - On time scales

KW - Topological degree

UR - https://www.scopus.com/pages/publications/85185098472

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DO - 10.1007/s12346-024-00954-9

M3 - Article

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SN - 1575-5460

VL - 23

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

IS - 3

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ER -

Nontrivial Solutions for a First-order Impulsive Integral Boundary Value Problem on Time Scales

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Keywords

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