Multiple sign-changing solutions for some m-point boundary-value problems

Electronic Journal of Differential Equations

Volumn 2004, Issue , 2004, Pages 1-14

  Xu, Xian ^a  

^a JIANGSU NORMAL UNIVERSITY   (China)

Author keywords

Fixed point index; m point boundary value problem; Sign changing solution

Indexed keywords

EID: 4544291190     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

1. Guo Dajun, V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic press, Inc, New York, 1988.
2. Guo Dajun, Nonlinear Anylysis, Shandong Sci. & Tec. Press, Jinan, 2001.
3. W. Feng and J. R. L. Webb, Solvability of a m-point nonlinear boundary-value problem with nonlinear growth, J. Math. Anal. Appl., 212(1997),467-480.
4. C. P. Gupta, S. I. Trofimchuk, Existence of a solution of a three-point boundary-value problem and spectral radius of a related linear operator, Nonlinear Anal., 34(1998):489-507.
5. C. P. Gupta, S. I. Trofimchuk, A sharper condition for the solvability of a three-point second order boundary-value problem, J. Math. Anal. Appl., 205(1997),586-597.
6. M. A. Krasnosel'skiľ, P. P. Zabreľko, Geometrical Methods of Nonlinear Analysis, Springer-Verlag, Berlin Heidelberg, New York, Tokyo, 1984.
7. X. Liu, Nontrivial solutions of singular nonlinear m-point boundary-value problems, J. Math. Anal. Appl.,284(2003),576-590.
8. Liu Z. L., On Dancer's conjeture and multiple solutions of elliptic partial differential equations, Northeast Mathematics J., 9(1993)388-394.
9. R. Ma, Existence of solutions of nonlinear m-point boundary-value problems, J. Math. Anal. Appl., 256, 556-567(2001).
10. R. Ma, Positive solutions of a nonlinear three-point boundary-value problem, Electronic Journal of Differential Equations, Vol. 1998(1998) No. 34, 1-8.
11. M. Moshinsky, Sobre los problemas de condiciones a la frontiera en una dimension de caracteristicas discontinuas, Bol. Soc. Mat. Mexicana 7 (1950) 1C25.
12. Youssef N. Raffoul, Positive solutions of three-point nonlinear second order boundary-value problem, EJQTDE, 2002, Vol. 15, 1-11.
13. S. Timoshenko, Theory of Elastic Stability, McGraw-Hill, New York, 1961.
14. J. R. L. Webb, Positive solutions of some three point boundary-value problems via fixed point index, Nonlinear Analysis, 47(2001), 4319-4332.
15. X. Xu, Positive Solutions for Singular m-point Boundary Value Problems with Positive Parameter, J. Math. Anal. Appl.,291(2004)352-367.
16. X. Xu, Multiplicity Results for Positive Solutions of Some Semi-positone Three-point Boundary Value Problems, J. Math. Anal. Appl., 291(2004)673-689.
17. Qing Liu Yao, Existence and multiplicity of positive solutions for a class of second order three-point nonlinear boundary-value problems, Acta Mathematica Sinica, Vol. 45, No 6, 2002.