Electron. J. Diff. Equ.,
Vol. 2016 (2016), No. 230, pp. 1-16.
Integrability of the limit model for a vacuum diode
and a solution to the singular boundary-value problem
Alexander A. Kosov, Edward I. Semenov, Alexander V. Sinitsyn
Abstract:
This article concerns singular boundary-value problems for a vacuum diode model.
We prove the integrability of a system of nonlinear differential
equations and construct a complete system of the first integrals; thus
developing a method for solving singular boundary value problems.
Also we study the asymptotic behavior of the solution in a neighborhood
of the singular point.
Submitted August 4, 2015. Published August 23, 2016.
Math Subject Classifications: 34B16, 34B60, 35Q83.
Key Words: First integrals; singular boundary value problem; vacuum diode.
Show me the PDF file (275 KB),
TEX file for this article.
 |
Alexander A. Kosov
Matrosov Institute for System Dynamics and Control Theory
Siberian Branch of Russian Academy of Sciences
ISDCT SB RAS Lermontov str., 134, Post Box 292
664033, Irkutsk, Russia
email: aakosov@yandex.ru
|
|---|
 |
Edward I. Semenov
Matrosov Institute for System Dynamics and Control Theory
Siberian Branch of Russian Academy of Sciences
ISDCT SB RAS Lermontov str., 134, Post Box 292
664033, Irkutsk, Russia
email: edwseiz@gmail.com
|
|---|
 |
Alexander V. Sinitsyn
Universidad Nacional de Colombia
Departamento de Matematicas
Bogota, Colombia
email: avsinitsyn@yahoo.com
|
|---|
Return to the EJDE web page