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Boundary value problems on infinite intervals and semiconductor devices

โœ Scribed by A. Granas; R.B. Guenther; J.W. Lee; D. O'Regan

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
458 KB
Volume
116
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

The nonlinear differential equation y" =f(x, y, y'), 0 ~< x< oo 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.

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โœ Hairong Lian; Huihui Pang; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

This paper deals with the existence of triple positive solutions for Sturm-Liouville boundary value problems of second-order nonlinear differential equation on a half line. By using a fixed point theorem in a cone due to Avery-Peterson, we show the existence of at least three positive solutions with