On solvability of a three-point boundary value problem for second order nonlinear functional differential equations. (English) Zbl 1131.34049
The authors are interested in the solvability of the functional differential equation
\[
u''(t)-l(u)(t)-F(u)(t)= 0
\]
with the boundary condtions
\[
u(a) = 0 , u(b) = u(t_0),\quad t_0\in ]a,b[.
\]
They establish sufficient conditions for the solvability of such problem. As applications they consider differential equations with deviating argument and integro-differential equations.
Reviewer: Mustapha Yebdri (Tlemcen)
MSC:
34K10 | Boundary value problems for functional-differential equations |
34K06 | Linear functional-differential equations |