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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 4, Pages 642–646 (Mi zvmmf9232)

On the uniqueness of the solution of a nonlinear eigenmode problem

M. O. Korpusov

Faculty of Physics, Moscow State University, Moscow, 119992 Russia

Abstract: A condition with a natural physical interpretation is proposed that singles out a unique solution from the infinite set of “geometrically” different solutions of a problem concerning the natural electrical oscillations in a semiconductor with allowance for strong dissipation and sources of free charges.

Key words: nonlinear problem of natural oscillations in a semiconductor, choice of a unique solution, nonlinear eigenvalue problems.

UDC: 519.63

Received: 30.11.2009


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:4, 597–601

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© Steklov Math. Inst. of RAS, 2026