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Article information
1999 , Volume 4, ¹ 6, p.27-57
Blokhin A.M., Bushmanova A.S., Mischenko E.V.
On solution of a nonlinear boundary value problem for a singularly perturbed differential equation
In the paper, solutions are sought to a boundary value problem for a nonlinear ordinary differential equation of the second order with a small parameter at the highest derivative. Three cases are considered: the right-hand side of the equation belongs to the spaces L2[0,1], C[0,1], C2[0,1].
[full text] Classificator Msc2000:- *34A34 Nonlinear equations and systems, general
- 34B10 Multipoint boundary value problems
- 34E15 Singular perturbations, general theory
- 34L30 Nonlinear ordinary differential operators
- 35D05 Existence of generalized solutions
- 35Q60 Equations of electromagnetic theory and optics
Keywords: charge transport in a semiconductor, nonlinear boundary value problem, singularly-perturbed ordinary differential equation
Author(s):
Blokhin Alexander Mikhailovich
Dr. , Professor
Position: Head of Laboratory
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Koptyug ave, 4
Phone Office: (383) 329 76 75
E-mail: blokhin@math.nsc.ru
Bushmanova A.S.
Address: 630090, Russia, Novosibirsk, Ac. Koptyug ave, 4
E-mail: bushmanova@math.nsc.ru
Mischenko E V
Office: Sobolem Math. Inst. SB RAS
Address: Russia, Novosibirsk, Novosibirsk, Ac. Koptyug ave, 4
E-mail: evm@online.sinor.ru
Bibliography link:
Blokhin A.M., Bushmanova A.S., Mischenko E.V. On solution of a nonlinear boundary value problem for a singularly perturbed differential equation // Computational technologies. 1999. V. 4. ¹ 6. P. 27-57
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