Weak solutions for a second order impulsive boundary value problem

Keyu Zhang; Jiafa Xu; Donal O’Regan

doi:10.2298/FIL1720431Z

Weak solutions for a second order impulsive boundary value problem

Keyu Zhang
, Jiafa Xu
, Donal O’Regan

Mathematics

Qilu Normal University
Chongqing Normal University

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

3 Citations (Scopus)

Abstract

In this paper we use topological degree theory and critical point theory to investigate the existence of weak solutions for the second order impulsive boundary value problem (Formula Presented). where λ is a positive parameter, 0 = t₀ < t₁ < t₂ < · · · < t_p < t_p+1 = π, f ∈ L² (0, π) is a given function and I_j ∈ C(R, R) for j = 1, 2, …, p.

Original language	English
Pages (from-to)	6431-6439
Number of pages	9
Journal	Filomat
Volume	31
Issue number	20
DOIs	https://doi.org/10.2298/FIL1720431Z
Publication status	Published - 2017

Keywords

Critical point theory
Impulsive
Second order boundary value problem
Topological degree theory
Weak solution

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10.2298/FIL1720431Z

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title = "Weak solutions for a second order impulsive boundary value problem",

abstract = "In this paper we use topological degree theory and critical point theory to investigate the existence of weak solutions for the second order impulsive boundary value problem (Formula Presented). where λ is a positive parameter, 0 = t0 < t1 < t2 < · · · < tp < tp+1 = π, f ∈ L2 (0, π) is a given function and Ij ∈ C(R, R) for j = 1, 2, …, p.",

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author = "Keyu Zhang and Jiafa Xu and Donal O{\textquoteright}Regan",

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AU - Zhang, Keyu

AU - Xu, Jiafa

AU - O’Regan, Donal

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N2 - In this paper we use topological degree theory and critical point theory to investigate the existence of weak solutions for the second order impulsive boundary value problem (Formula Presented). where λ is a positive parameter, 0 = t0 < t1 < t2 < · · · < tp < tp+1 = π, f ∈ L2 (0, π) is a given function and Ij ∈ C(R, R) for j = 1, 2, …, p.

AB - In this paper we use topological degree theory and critical point theory to investigate the existence of weak solutions for the second order impulsive boundary value problem (Formula Presented). where λ is a positive parameter, 0 = t0 < t1 < t2 < · · · < tp < tp+1 = π, f ∈ L2 (0, π) is a given function and Ij ∈ C(R, R) for j = 1, 2, …, p.

KW - Critical point theory

KW - Impulsive

KW - Second order boundary value problem

KW - Topological degree theory

KW - Weak solution

UR - https://www.scopus.com/pages/publications/85041372824

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DO - 10.2298/FIL1720431Z

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VL - 31

SP - 6431

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JO - Filomat

JF - Filomat

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ER -

Weak solutions for a second order impulsive boundary value problem

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