## On four-point regular BVPs for second-order quasi-linear ODEs.(English)Zbl 0769.34019

The authors consider the scalar four-point boundary value problem of the form $$x''=f(t,x,x')$$, $$x(a)+px(b)=A$$, $$x(c)+qx(d)=B$$, where $$A,B,a,b,c\in\mathbb{R}$$, $$p,q\in\{-1,0,1\}$$ and $$f$$ is supposed to be continuous. They prove the existence of solutions using Green’s functions and the Schauder fixed point theorem.

### MSC:

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

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