Existence and unboundedness of positive solutions for singular boundary value problems on half-line

Applied Mathematics and Computation

Volumn 144, Issue 2-3, 2003, Pages 543-556

  Liu, Yansheng ^a  

^a SHANDONG NORMAL UNIVERSITY   (China)

Author keywords

Boundedness; Cone; Half line; Positive solution; Singularity

Indexed keywords

APPROXIMATION THEORY; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

POSITIVE SOLUTIONS;

BOUNDARY VALUE PROBLEMS;

EID: 0037774684     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00431-9     Document Type: Article

References (9)

1. Agarwal R.P., O'regan D. Second-order boundary value problems of singular type. J. Math. Anal. Appl. 226:1998;414-430.
2. Agarwal R.P., O'Regan D. Nonlinear superlinear singular and nonsingular second order boundary value problems. J. Different. Eqs. 143:1998;60-95.
3. Lan K., Webb J.L. Positive solutions of semilinear differential equations with singularities. J. Different. Eqs. 148:1998;407-421.
4. Liu X., Yan B. Boundary-irregular solutions to singular boundary value problems. Nonlinear Anal. (TMA). 32:1998;633-646.
5. Wei Z. Positive solutions of singular sublinear second order boundary value problems. Syst. Sci. Math. Sci. 11(1):1998;82-88.
6. Chen S.Z., Zhang Y. Singular boundary value problems on a half-line. J. Math. Anal. Appl. 195:1995;449-468.
7. Yan B. Boundary value problems on the half-line with impulses and infinite delay. J. Math. Anal. Appl. 259:2001;94-114.
8. Guo D., Lakshmikantham V. Nonlinear Problems in Abstract Cones. 1988;Academic Press, Inc. New York.
9. Corduneanu C. Integral Equations and Stability of Feedback Systems. 1973;Academic Press, New York.