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Existence theorems for a second order three-point boundary value problem. (English) Zbl 0879.34025
Summary: Existence results for the second-order three-point boundary value problem $$x''= f(t,x,x')$$, $$x(0)=A$$, $$x(\eta)- x(1)= (\eta-1)B$$, $$0<\eta<1$$, are presented. Our analysis is based on a nonlinear alternative of Leray-Schauder.

##### MSC:
 34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
##### Keywords:
second-order three-point boundary value problem
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##### References:
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