Existence of solutions for 2n-order boundary value problem

Applied Mathematics and Computation

Volumn 137, Issue 1, 2003, Pages 77-87

  Yang, Xiaojing ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Boundary value problem; Upper and lower solutions

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; THEOREM PROVING;

MONOTONE SEQUENCES;

BOUNDARY VALUE PROBLEMS;

EID: 0037431452     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00086-3     Document Type: Article

References (6)

1. Aftabizadeh A.R. Existence and uniqueness theorems for fourth-order boundary value problems. J. Math. Anal. Appl. 116:1986;415-426.
2. Yang Y. Fourth-order two-point boundary value problems. Proc. Amer. Math. Soc. 104:1988;175-180.
3. Del Pino M.A., Manasevich R.F. Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition. Proc. Amer. Math. Soc. 112:1991;81-86.
4. 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.
5. Ma R.Y., Zhang J.H., Fu S.M. The method of lower and upper solutions for fourth-order two-point boundary value problems. J. Math. Anal. Appl. 215:1997;415-422.
6. Bai Z. The method of lower and upper solutions for a bending of an elastic beam equation. J. Math. Anal. Appl. 248:2000;195-202.