×

Multiple positive solutions to singular boundary value problems for superlinear second-order FDEs. (English) Zbl 0963.34060

Summary: The author studies the existence of positive solutions to the singular boundary value problem for a second-order FDE \[ u'' + q(t) f(t,u(w(t))) = 0,\quad \text{for almost all }0<t<1, \]
\[ u(t) = \xi(t),\quad a \leq t \leq 0, \qquad u(t) = \eta(t),\quad 1 \leq t \leq b, \] where \(q(t)\) may be singular at \( t=0\) and \( t=1\), \(f(t,u)\) may be superlinear at \(u=\infty\) and singular at \(u=0\).

MSC:

34K10 Boundary value problems for functional-differential equations
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
34K26 Singular perturbations of functional-differential equations
PDFBibTeX XMLCite
Full Text: DOI EuDML