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6.—Oscillation Theory for Semilinear Schrödinger Equations and Inequalities

Published online by Cambridge University Press:  14 February 2012

E. S. Noussair  and
C. A. Swanson
E. S. Noussair
Affiliation:
University of New South Wales
C. A. Swanson
Affiliation:
University of British Columbia
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Synopsis

Sufficient conditions are derived for every solution of a nonlinear Schrödinger equation (or inequality) to be oscillatory in an exterior domain of En. Such results apply in particular to the n-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.

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Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 75 , Issue 1 , 1976 , pp. 67 - 81
Copyright
Copyright © Royal Society of Edinburgh 1976

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