Bifurcation techniques for Lidstone boundary value problems

Yansheng Liu; Donal O'Regan

doi:10.1016/j.na.2007.02.027

Bifurcation techniques for Lidstone boundary value problems

Yansheng Liu
, Donal O'Regan

Mathematics

Shandong Normal University

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

9 Citations (Scopus)

Abstract

By employing bifurcation techniques, this paper investigates the existence of nontrivial solutions (single and multiple) for Lidstone boundary value problems depending on higher order derivatives. Our results improve on those in the literature.

Original language	English
Pages (from-to)	2801-2812
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	68
Issue number	9
DOIs	https://doi.org/10.1016/j.na.2007.02.027
Publication status	Published - 1 May 2008

Keywords

Bifurcation technique
Higher order derivatives
Lidstone boundary value problem
Nontrivial solutions
Sign-changing nonlinear term

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Liu, Y;O'Regan, D

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10.1016/j.na.2007.02.027

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title = "Bifurcation techniques for Lidstone boundary value problems",

abstract = "By employing bifurcation techniques, this paper investigates the existence of nontrivial solutions (single and multiple) for Lidstone boundary value problems depending on higher order derivatives. Our results improve on those in the literature.",

keywords = "Bifurcation technique, Higher order derivatives, Lidstone boundary value problem, Nontrivial solutions, Sign-changing nonlinear term",

author = "Yansheng Liu and Donal O'Regan",

year = "2008",

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doi = "10.1016/j.na.2007.02.027",

language = "English",

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T1 - Bifurcation techniques for Lidstone boundary value problems

AU - Liu, Yansheng

AU - O'Regan, Donal

PY - 2008/5/1

Y1 - 2008/5/1

N2 - By employing bifurcation techniques, this paper investigates the existence of nontrivial solutions (single and multiple) for Lidstone boundary value problems depending on higher order derivatives. Our results improve on those in the literature.

AB - By employing bifurcation techniques, this paper investigates the existence of nontrivial solutions (single and multiple) for Lidstone boundary value problems depending on higher order derivatives. Our results improve on those in the literature.

KW - Bifurcation technique

KW - Higher order derivatives

KW - Lidstone boundary value problem

KW - Nontrivial solutions

KW - Sign-changing nonlinear term

UR - https://www.scopus.com/pages/publications/39749192198

U2 - 10.1016/j.na.2007.02.027

DO - 10.1016/j.na.2007.02.027

M3 - Article

SN - 0362-546X

VL - 68

SP - 2801

EP - 2812

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 9

ER -

Bifurcation techniques for Lidstone boundary value problems

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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