On a third order nonlinear boundary value problem at resonance. (English) Zbl 0847.34026

Nagle, R. Kent; Pothoven, Kenneth L.

J. Math. Anal. Appl. 195, No. 1, 148-159 (1995).

The existence of solutions to a third order boundary value problem of the form \(x'''+ x'+ g(x, x')= p(t)\), \(x' (0)= x' (\pi)= x(\eta) =0\), \(0\leq \eta\leq \pi\), is proved and some further results and examples are given.

Reviewer: M.Greguš (Bratislava)

MSC:

34B15	Nonlinear boundary value problems for ordinary differential equations
34B10	Nonlocal and multipoint boundary value problems for ordinary differential equations

Keywords:

third order boundary value problem