6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities-Reference-Cited by-同舟云学术

6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities

Published:1976 Issue:1 Volume:75 Page:67-81
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Noussair E. S.,Swanson C. A.

Abstract

SynopsisSufficient conditions are derived for every solution of a nonlinear Schrödinger equation (or inequality) to be oscillatory in an exterior domain ofEn. Such results apply in particular to then-dimensional Emden-Fowler equation. The method involves oscillatory behaviour of solutions of a nonlinear ordinary differential inequality satisfied by the spherical mean of a positive solution of the Schrödinger equation.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference34 articles.

1. An oscillation criterion for a nonlinear second order equation

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3. Oscillation criteria for a second order differential equation with a damping term;Naito;Hiroshima Math. J.,1974

4. Oscillation theorems for a damped nonlinear differential equation

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