Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2016

01-02-2016 | Original Research

Existence of positive solutions for a fourth-order three-point boundary value problem

Authors: A. Guezane-Lakoud, L. Zenkoufi

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, we are concerned with a fourth-order three point boundary value problem. We prove the existence, uniqueness and positivity of solutions by using Leray–Schauder nonlinear alternative, Banach contraction theorem and Guo–Krasnosel’skii fixed point theorem.
previous article Threshold-policy analysis of an M/M/1 queue with working vacations
next article Existence results for Caputo type sequential fractional differential inclusions with nonlocal integral boundary conditions

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
2.
Agarwal, R.P., O’Regan, D., Wong, P.: Positive Solutions of Differential Equations, Difference, and Integral Equations. Kluwer Academic, Boston (1999)CrossRefMATH
3.
4.
Chen, J., Tariboon, J., Koonprasert, S.: Existence of positive solutions to a second-order multi-point boundary value problem with delay, Thai J. Math. Special Issue (Annual Meeting in Mathematics, 2010): 21–32 (2010)
5.
6.
Graef, J.R., Henderson, Yang, B.: Positive solutions of a nonlinear nth order eigenvalue problem. Dyn. Contin. Discret. Impuls. Syst. Ser. A Math. Anal. 13B(Supplementary Volume), 39–48 (2006)MathSciNet
7.
Graef, J.R., Henderson, Wong, P.J.Y.: Three solutions of an nth order three-point focal type boundary value problem. Nonlinear Anal. 69, 3386–3404 (2008)MathSciNetCrossRefMATH
8.
Guo, D., Lakshmikantham, V.: Nonlinear Problems in Abstract Cones. Academic Press, San Diego (1988)MATH
9.
Guezane-Lakoud, A., Frioui, A.: Nonlinear three-point boundary-value problem. Sarajevo J. Math. 8(20), 1–6 (2012)MathSciNetMATH
10.
Guezane-Lakoud, A., Hamidane, N., Khaldi, R.: On a third order three-point boundary value problem, Int. J. Math. Sci. Art. ID 513189, 7pp (2012)
11.
Guezane-Lakoud, A., Zenkoufi, L.: Existence of positive solutions for a third order multi-point boundary value problem. Appl. Math. 3, 1008–1013 (2013)CrossRefMATH
12.
Le, X.Truong, Phan Fhung, D.: Existence of positive solutions for a multi-point four-order boundary value problem. Electron. J. Differ. Equ. 2011, 1–10 (2011)MathSciNet
13.
14.
15.
16.
Ma, R.: Multiple positive solutions for semipositone fourth-order boundary value problem. Hirochima Math. J. 33, 217–227 (2003)MATHMathSciNet
17.
Ma, R., Wang, H.: On the existence of positive solutions of fourth-order ordinary differential equations. Appl. Anal. 59, 225–231 (1995)MathSciNetCrossRefMATH
18.
Yong-ping, Sun: Existence and multiplicity of positive solutions for an elastic beam equation. Appl. Math. J. Chin. Univ. 26(3), 253–264 (2011)CrossRefMathSciNet
19.
Wang, W., Shen, J.: Positive solutions to a multi-point boundary value problem with delay. Appl. Math. Comput. 188, 96–102 (2007)MathSciNetCrossRefMATH
20.
Webb, J.R.L.: Positive solutions of some three-point boundary value problems via fixed point index theory. Nonlinear Anal. 47, 4319–4332 (2001)MathSciNetCrossRefMATH
21.
Sun, Y., Zhu, C.: Existence of positive solutions for singular fourth-order three-point boundary value problems. Adv. Differ. Equ. 2013(51), 1–13 (2013)MathSciNet
22.
Yang, Y.R.: Triple positive solution of a class of fourth-order two-point boundary value problems. Appl. Math. Lett. 23, 366–370 (2010)MathSciNetCrossRefMATH
23.
Zhang, X., Lishan, L., Congxin, W.: Nontrivial solution of third-order nonlinear eigenvalue problems (II). Appl. Math. Comput. 176, 714–721 (2006)MathSciNetCrossRefMATH
24.
Zhang, X., Lishan, L.: Nontrivial solution of third-order nonlinear eigenvalue problems (II). Appl. Math. Comput. 204, 508–512 (2008)MathSciNetCrossRefMATH
Metadata
Title
Existence of positive solutions for a fourth-order three-point boundary value problem
Authors
A. Guezane-Lakoud
L. Zenkoufi
Publication date
01-02-2016
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2016
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-014-0863-5

Other articles of this Issue 1-2/2016

Journal of Applied Mathematics and Computing 1-2/2016 Go to the issue

Original Research

The third and hyper-Zagreb coindices of some graph operations

Original Research

Threshold-policy analysis of an M/M/1 queue with working vacations

Original Research

Similarity-based minimization of fuzzy tree automata

Original Research

An iterative technique for solving singularly perturbed parabolic PDE

Original Research

Infinitely many solutions for fractional differential system via variational method

Original Research

On Abelian codes over

Premium Partner

    Image Credits