A class of fourth order singular boundary value problems

Applied Mathematics and Computation

Volumn 153, Issue 3, 2004, Pages 865-884

  Wei, Zhongli ^a  

^a SHANDONG UNIVERSITY   (China)

Author keywords

Lower and upper solution; Maximum principle; Positive solution; Singular boundary value problem

Indexed keywords

DIFFERENTIAL EQUATIONS; INTEGRATION; MATHEMATICAL OPERATORS; MAXIMUM PRINCIPLE; PROBLEM SOLVING; THEOREM PROVING;

LOWER AND UPPER SOLUTION; POSITIVE SOLUTION; SINGULAR BOUNDARY VALUE PROBLEMS; SUBINTERVALS;

BOUNDARY VALUE PROBLEMS;

EID: 2942538625     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00683-0     Document Type: Article

References (12)

1. O'Regan D. Theory of Singular Boundary Value Problems. 1994;World Scientific Press, Singapore.
2. Taliaferro S.D. A nonlinear singular boundary value problem. Nonlinear Anal. TMA. 3:1979;897-904.
3. Zhang Y. Positive solutions of singular sublinear Emden-Fowler boundary value problems. J. Math. Anal. Appl. 185:1994;215-222.
4. Schroder J. Fourth order two-point boundary value problems; estimates by two-sided bounds. Nonlinear Anal. TMA. 8(2):1984;107-114.
5. Gupta C.P. Existence and uniqueness results for the bending of an elastic beam equation at resonance. J. Math. Anal. Appl. 135:1988;208-225.
6. Aftabizadeh A.R. Existence and uniqueness theorems for fourth order boundary value problems. J. Math. Anal. Appl. 116:1986;415-426.
7. Usmani R.A. A uniqueness theorem for a boundary value problem. Proc. Am. Math. Soc. 77:1979;329-335.
8. Ma R., Zhang J., Fu S. The method of lower and upper solutions for fourth-order two-point boundary value problems. J. Math. Anal. Appl. 215:1997;415-422.
9. O'Regan D. Solvability of some fourth (and higher) order singular boundary value problems. J. Math. Anal. Appl. 161:1991;78-116.
10. Wei Z. Positive solutions of singular boundary value problems of fourth order differential equations. Math. Sin. 42(4):1999;715-722. (in Chinese).
11. Wei Z. Positive solutions of singular boundary value problems of negative exponent Emden-Fowler equations. Acta Math. Sin. 41(3):1998;655-662. (in Chinese).
12. Hartman P. Ordinary Differential Equations. second ed. 1982;Birkhauser, Boston, MA.