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Boundary value problems on infinite intervals and semiconductor devices. (English) Zbl 0594.34019
Summary: The nonlinear differential equation $$y''=f(x,y,y')$$, $$0\leq x<\infty$$ with appropriate boundary conditions is studied. Our treatment involves extending results of Granas, Guenther, and Lee concerning boundary value problems on finite intervals with f satisfying Bernstein type growth conditions. We also examine an important application which occurs in the theory of semiconductor devices.

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems
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##### References:
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