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Existence of solutions of non-linear Schrödinger equations*

Published online by Cambridge University Press:  14 February 2012

Klaus Schmitt  and
Long-yi Tsai
Klaus Schmitt
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, Utah, USA
Long-yi Tsai
Affiliation:
Department of Applied Mathematics, National Chengchi University, Taipei, Taiwan, Formosa
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Synopsis

The existence of periodic solutions of non-linear Schrödinger equations with periodic potential is investigated. The main result obtained is an intermediate value type theorem for such non-linear differential operators.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 76 , Issue 3 , 1977 , pp. 227 - 232
Copyright
Copyright © Royal Society of Edinburgh 1977

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References

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