A four-point problem for differential equations of the second order. (English) Zbl 0715.34033

Rachůnková, Irena

Arch. Math., Brno 25, No. 4, 175-184 (1989).

Sufficient conditions for the existence of at least one solution of the four-point problem \[ u''=f(t,u,u'),\quad u(c)-u(a)=A,\quad u(b)-u(d)=B \] are obtained.

Reviewer: S.I.Trofimchuk

MSC:

34B10

Nonlocal and multipoint boundary value problems for ordinary differential equations

Keywords:

four-point problem