Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

UPPER AND LOWER SOLUTIONS METHOD FOR SECOND ORDER NONLINEAR FOUR POINT BOUNDARY VALUE PROBLEMS

  • Khan Rahmat Ali (Centre for Advanced Mathematics and Physics National University of Sciences and Technology(NUST) Campus of College of Electrical and Mechanical Engineering Peshawar Road) ;
  • Nieto Juan J. (Departamento de Analisis Matematico Facultad de Matematicas Universidad de Santiago de Compostela) ;
  • Rosana Rodriguez-Lopez (Departamento de Analisis Matematico Facultad de Matematicas Universidad de Santiago de Compostela)
  • Published : 2006.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

We develop the upper and lower solutions method for the four point problem relative to second order differential equations in order to obtain the existence of solution.

Keywords

References

  1. Z. Bai, W. Ge, and Y. Wang, Multiplicity results for some second-order four-point boundary-value problems, Nonlinear Anal. 60 (2005), no. 3, 491-500
  2. Z. Bai, W. Li, and W. Ge, Existence and multiplicity of solutions for four-point boundary value problems at resonance, Nonlinear Anal. 60 (2005), no. 6, 1151- 1162 https://doi.org/10.1016/j.na.2004.10.013
  3. B. Liu, Positive solutions of a nonlinear four-point boundary value problem, Appl. Math. Comput. 155 (2004), no. 1, 179-203 https://doi.org/10.1016/S0096-3003(03)00770-7
  4. B. Liu, Positive solutions of a nonlinear four-point boundary value problem in Banach spaces, J. Math. Anal. Appl. 305 (2005), no. 1, 253-276 https://doi.org/10.1016/j.jmaa.2004.11.037
  5. I. Rachunkova, On four point boundary value problem without growth conditions, Czechoslovak Math. J. 49 (124) (1999), no. 2, 241-248 https://doi.org/10.1023/A:1022491900369

Cited by

  1. Solutions for an operator equation under the conditions of pairs of paralleled lower and upper solutions vol.69, pp.7, 2008, https://doi.org/10.1016/j.na.2007.08.005
  2. Double positive solutions for a nonlinear four-point boundary value problem with a -Laplacian operator vol.68, pp.7, 2008, https://doi.org/10.1016/j.na.2007.01.058