Approximation of positive solutions of symmetric eigenvalue problems with nonlinear dependence on the spectral parameter-Reference-Cited by-同舟云学术

Approximation of positive solutions of symmetric eigenvalue problems with nonlinear dependence on the spectral parameter

Published:2024-08-31 Issue:8 Volume: Page:94-99
ISSN:2076-4626
Container-title:Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
language:
Short-container-title:jour

Author:

Solov’ev P. S.¹

Affiliation:

1. Kazan Federal University

Abstract

A symmetric partial differential eigenvalue problem with nonlinear dependence on the spectral parameter arising in plasma physics is studied. We propose and justify new conditions for the existence of a positive eigenvalue and the corresponding positive eigenfunction. A finite element approximation of the problem preserving the property of positivity of solutions is constructed. The existence and convergence of approximate solutions are established.

Publisher

Kazan Federal University

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