an:03955440
Zbl 0594.34019
Granas, A.; Guenther, R. B.; Lee, J. W.; O'Regan, D.
Boundary value problems on infinite intervals and semiconductor devices
EN
J. Math. Anal. Appl. 116, 335-348 (1986).
00151736
1986
j
34B15 34A34
second order nonlinear differential equation; application; semiconductor
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.
Reviewer (Berlin)