Existence Criteria for Singular Initial Value Problems with Sign Changing Nonlinearities

Mathematical Problems in Engineering

Volumn 7, Issue 6, 2001, Pages 503-524

  Agarwal, Ravi P ^a   O'Regan, Donal ^b   Lakshmikantham, V ^a  

^a Florida Institute of Technology ^*  (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Existence criteria; Sign changing nonlinearity; Singular initial value problem; Upper and lower solutions

Indexed keywords

EID: 0345854812     PISSN: 1024123X     EISSN: None     Source Type: Journal    
DOI: 10.1155/S1024123X01001752     Document Type: Article

References (6)

1. Agarwal, R.P. and O'Regan, D. (2001) Existence theory for single and multiple solutions to singular positone boundary value problems. Jour. Differential Equations, 175, 393-414.
2. Agarwal, R.P., O'Regan, D. and Wong, P.J.Y. (1999). Positive Solutions of Differential, Difference and Integral Equations. Kluwer Acad. Publ., Dordrecht.
3. Bobisud, L.E. and O'Regan, D. (1988). Existence of solutions to some singular initial value problems. Jour. Math. Anal. Appl., 133, 214-230.
4. Lakshmikantham, V. and Leela, S. (1969). Differential and Integral Inequalities, Vol. 1. Academic Press, New York.
5. Nkashama, M.N. (1989). A generalized upper and lower solution method and multiplicity results for nonlinear first order ordinary differential equations. Jour. Math. Anal. Appl., 140, 381-395.
6. n. Springer, New York.