Skip to main content
Erschienen in: Journal of Inequalities and Applications 1/2006

Open Access 01.12.2006 | Research Article

Differential inequalities method to https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F12040/MediaObjects/13660_2005_Article_1565_IEq1_HTML.gif th-order boundary value problems

verfasst von: Guangwa Wang, Mingru Zhou, Li Sun

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2006

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

By the theory of differential inequality, bounding function method, and the theory of topological degree, this paper presents the existence criterions of solutions for the general https://static-content.springer.com/image/art%3A10.1155%2FJIA%2F2006%2F12040/MediaObjects/13660_2005_Article_1565_IEq2_HTML.gif th-order differential equations under nonlinear boundary conditions, and extends many existing results.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

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!

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!

Literatur
1.
Zurück zum Zitat Cabada A, Grossinho MdoR, Minhós F: On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions. Journal of Mathematical Analysis and Applications 2003,285(1):174–190. 10.1016/S0022-247X(03)00388-3MATHMathSciNetCrossRef Cabada A, Grossinho MdoR, Minhós F: On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions. Journal of Mathematical Analysis and Applications 2003,285(1):174–190. 10.1016/S0022-247X(03)00388-3MATHMathSciNetCrossRef
2.
Zurück zum Zitat Chang KW, Howes FA: Nonlinear Singular Perturbation Phenomena: Theory and Applications, Applied Mathematical Sciences. Volume 56. Springer, New York; 1984:viii+180. Chang KW, Howes FA: Nonlinear Singular Perturbation Phenomena: Theory and Applications, Applied Mathematical Sciences. Volume 56. Springer, New York; 1984:viii+180.
3.
Zurück zum Zitat Du Z, Ge W, Lin X: Existence of solutions for a class of third-order nonlinear boundary value problems. Journal of Mathematical Analysis and Applications 2004,294(1):104–112. 10.1016/j.jmaa.2004.02.001MATHMathSciNetCrossRef Du Z, Ge W, Lin X: Existence of solutions for a class of third-order nonlinear boundary value problems. Journal of Mathematical Analysis and Applications 2004,294(1):104–112. 10.1016/j.jmaa.2004.02.001MATHMathSciNetCrossRef
4.
Zurück zum Zitat Ehme J, Eloe PW, Henderson J: Upper and lower solution methods for fully nonlinear boundary value problems. Journal of Differential Equations 2002,180(1):51–64. 10.1006/jdeq.2001.4056MATHMathSciNetCrossRef Ehme J, Eloe PW, Henderson J: Upper and lower solution methods for fully nonlinear boundary value problems. Journal of Differential Equations 2002,180(1):51–64. 10.1006/jdeq.2001.4056MATHMathSciNetCrossRef
5.
Zurück zum Zitat Erbe LH: Existence of solutions to boundary value problems for second order differential equations. Nonlinear Analysis 1982,6(11):1155–1162. 10.1016/0362-546X(82)90027-XMATHMathSciNetCrossRef Erbe LH: Existence of solutions to boundary value problems for second order differential equations. Nonlinear Analysis 1982,6(11):1155–1162. 10.1016/0362-546X(82)90027-XMATHMathSciNetCrossRef
6.
Zurück zum Zitat Fabry Ch, Habets P: Upper and lower solutions for second-order boundary value problems with nonlinear boundary conditions. Nonlinear Analysis 1986,10(10):985–1007. 10.1016/0362-546X(86)90084-2MATHMathSciNetCrossRef Fabry Ch, Habets P: Upper and lower solutions for second-order boundary value problems with nonlinear boundary conditions. Nonlinear Analysis 1986,10(10):985–1007. 10.1016/0362-546X(86)90084-2MATHMathSciNetCrossRef
7.
Zurück zum Zitat Howes FA: Differential inequalities and applications to nonlinear singular perturbation problems. Journal of Differential Equations 1976,20(1):133–149. 10.1016/0022-0396(76)90100-5MATHMathSciNetCrossRef Howes FA: Differential inequalities and applications to nonlinear singular perturbation problems. Journal of Differential Equations 1976,20(1):133–149. 10.1016/0022-0396(76)90100-5MATHMathSciNetCrossRef
8.
Zurück zum Zitat Kelley WG: Some existence theorems forth-order boundary value problems. Journal of Differential Equations 1975,18(1):158–169. 10.1016/0022-0396(75)90086-8MATHMathSciNetCrossRef Kelley WG: Some existence theorems forth-order boundary value problems. Journal of Differential Equations 1975,18(1):158–169. 10.1016/0022-0396(75)90086-8MATHMathSciNetCrossRef
9.
Zurück zum Zitat Lin Z, Zhou M: Perturbation Methods in Applied Mathematics. Jiangsu Education Press, Nanjing; 1995. Lin Z, Zhou M: Perturbation Methods in Applied Mathematics. Jiangsu Education Press, Nanjing; 1995.
10.
Zurück zum Zitat Nagumo M: Über die Differentialgleichung. Proceedings of the Physico-Mathematical Society of Japan 1937, 19: 861–866.MATH Nagumo M: Über die Differentialgleichung. Proceedings of the Physico-Mathematical Society of Japan 1937, 19: 861–866.MATH
11.
Zurück zum Zitat O'Donnell MA: Semi-linear systems of boundary value problems. SIAM Journal on Mathematical Analysis 1984,15(2):316–332.MathSciNet O'Donnell MA: Semi-linear systems of boundary value problems. SIAM Journal on Mathematical Analysis 1984,15(2):316–332.MathSciNet
12.
Zurück zum Zitat Pei MH: Nonlinear two-point boundary value problems forth-order nonlinear differential equations. Acta Mathematica Sinica 2000,43(5):921–930.MATHMathSciNet Pei MH: Nonlinear two-point boundary value problems forth-order nonlinear differential equations. Acta Mathematica Sinica 2000,43(5):921–930.MATHMathSciNet
13.
Zurück zum Zitat Sadyrbaev F: Nonlinear fourth-order two-point boundary value problems. The Rocky Mountain Journal of Mathematics 1995,25(2):757–781. 10.1216/rmjm/1181072248MATHMathSciNetCrossRef Sadyrbaev F: Nonlinear fourth-order two-point boundary value problems. The Rocky Mountain Journal of Mathematics 1995,25(2):757–781. 10.1216/rmjm/1181072248MATHMathSciNetCrossRef
14.
Zurück zum Zitat Wang G, Zhou M, Sun L: Existence of solutions of two-point boundary value problems for the systems ofth-order differential equations. Journal of Nanjing University. Mathematical Biquarterly 2002,19(1):68–79.MathSciNetMATH Wang G, Zhou M, Sun L: Existence of solutions of two-point boundary value problems for the systems ofth-order differential equations. Journal of Nanjing University. Mathematical Biquarterly 2002,19(1):68–79.MathSciNetMATH
15.
Zurück zum Zitat Yang X: The method of lower and upper solutions for systems of boundary value problems. Applied Mathematics and Computation 2003,144(1):169–172. 10.1016/S0096-3003(02)00400-9MATHMathSciNetCrossRef Yang X: The method of lower and upper solutions for systems of boundary value problems. Applied Mathematics and Computation 2003,144(1):169–172. 10.1016/S0096-3003(02)00400-9MATHMathSciNetCrossRef
16.
Zurück zum Zitat Yang X: Upper and lower solutions for periodic problems. Applied Mathematics and Computation 2003,137(2–3):413–422. 10.1016/S0096-3003(02)00147-9MATHMathSciNetCrossRef Yang X: Upper and lower solutions for periodic problems. Applied Mathematics and Computation 2003,137(2–3):413–422. 10.1016/S0096-3003(02)00147-9MATHMathSciNetCrossRef
17.
Zurück zum Zitat Zhang X: An existence theorem and estimation of the solution of the Robin problem for a class ofth order equations. Acta Mathematicae Applicatae Sinica 1991,14(3):397–403.MATHMathSciNet Zhang X: An existence theorem and estimation of the solution of the Robin problem for a class ofth order equations. Acta Mathematicae Applicatae Sinica 1991,14(3):397–403.MATHMathSciNet
Metadaten
Titel
Differential inequalities method toth-order boundary value problems
verfasst von
Guangwa Wang
Mingru Zhou
Li Sun
Publikationsdatum
01.12.2006
Verlag
Springer International Publishing
Erschienen in
Journal of Inequalities and Applications / Ausgabe 1/2006
Elektronische ISSN: 1029-242X
DOI
https://doi.org/10.1155/JIA/2006/12040

Weitere Artikel der Ausgabe 1/2006

Journal of Inequalities and Applications 1/2006 Zur Ausgabe

Premium Partner