Positive solutions of a second order singular ordinary differential equation. (English) Zbl 1109.34310
Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 234-236 (2005).
Consider the differential equation
together with the boundary conditions
where and are bounded. Using a variational setting, the authors derive conditions guaranteeing the existence of positive solutions to (1), (2) and (1), (3).
|34B18||Positive solutions of nonlinear boundary value problems for ODE|
|34B16||Singular nonlinear boundary value problems for ODE|