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

- Journal title : Journal of the Korean Mathematical Society
- Volume 43, Issue 6, 2006, pp.1253-1268
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2006.43.6.1253

Title & Authors

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

Khan Rahmat Ali; Nieto Juan J.; Rosana Rodriguez-Lopez;

Khan Rahmat Ali; Nieto Juan J.; Rosana Rodriguez-Lopez;

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

second-order differential equations;four point problems;upper and lower solutions;

Language

English

Cited by

1.

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

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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

3.

B. Liu, Positive solutions of a nonlinear four-point boundary value problem, Appl. Math. Comput. 155 (2004), no. 1, 179-203