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Nonresonance case for differential equations with degeneration

Nonresonance case for differential equations with degeneration We study what form the asymptotics of solutions of degenerate elliptic equations have in the nonresonance case under the condition that the asymptotics of the right-hand side have the form corresponding to the class of asymptotics of the nonresonance case, that is, the case in which the singularities of the right-hand side do not coincide with the zeros of the left-hand side. We show that, in the resonance case, the problem is no longer closed in this class. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Nonresonance case for differential equations with degeneration

Differential Equations , Volume 50 (3) – Apr 23, 2014

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 2014 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266114030070
Publisher site
See Article on Publisher Site

Abstract

We study what form the asymptotics of solutions of degenerate elliptic equations have in the nonresonance case under the condition that the asymptotics of the right-hand side have the form corresponding to the class of asymptotics of the nonresonance case, that is, the case in which the singularities of the right-hand side do not coincide with the zeros of the left-hand side. We show that, in the resonance case, the problem is no longer closed in this class.

Journal

Differential EquationsSpringer Journals

Published: Apr 23, 2014

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