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On a certain boundary value problem. (English) Zbl 0724.34029
An existence result for the BVP $$x''-k^ 2x+f(t,x,x')=0,\quad t\geq 0,$$ $$x(0)=0,\quad x(\infty)=0$$ is proved by using the Leray-Schauder topological principle.

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations
##### Keywords:
existence result; Leray-Schauder topological principle