Positive solutions of fourth-order periodic boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 54, Issue 6, 2003, Pages 1069-1078

  Li, Yongxiang ^a,b  

^a NORTHWEST NORMAL UNIVERSITY   (China)

^b LANZHOU UNIVERSITY   (China)

Author keywords

Cone; Fixed point index; Fourth order PBVP; Maximum principle; Positive solution

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; MATHEMATICAL OPERATORS;

POSITIVE SOLUTIONS;

NONLINEAR SYSTEMS;

EID: 0038789059     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00127-5     Document Type: Article

References (7)

1. Cabada A. The method of lower and upper solutions for second, third, fourth and higher order boundary value problems. J. Math. Anal. Appl. 185:1994;302-320.
2. Cabada A. The method of lower and upper solutions for third order periodic boundary value problems. J. Math. Anal. Appl. 195:1995;568-589.
3. Cabada A., Lois S. Maximum principles for fourth and sixth order periodic boundary value problems. Nonlinear Anal. TMA. 29(10):1997;1161-1171.
4. Guo D., Lakshmikantham V. Nonlinear Problems in Abstract Cones. 1988;Academic Press, New York.
5. Kong L.B., Jiang D.Q. Multiple solutions of a nonlinear fourth order periodic boundary value problem. Ann. Polon. Math. LXIV(3):1998;265-270.
6. Ladde G.S., Lakshmikantham V., Vatsala A.S. Monotone Iterative Techniques for Nonlinear Differential Equations. 1985;Pitman, Boston.
7. Omari P., Trombetta M. Remarks on the lower and upper solutions method for second and third-order periodic boundary value problems. Appl. Math. Comput. 50:1992;1-21.