International Journal of Functional Analysis, Operator Theory and Applications
Volume 6, Issue 2, Pages 119 - 126
(June 2014)
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ON THE GROWTH OF THE JOST SOLUTIONS
Gulmaro Corona-Corona
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Abstract:
Whenever the potential of the spectral problem system of Schrödinger-type is the Faddeev-type, the Jost solutions exponentially grow for any complex spectral value in the upper half-plane when the dimensional variable goes to the opposite extreme with boundary condition while they do not grow or decay, in fact they are bounded for real spectral values except for the null spectral value. |
| Keywords and phrases: Jost functions, exponentially growth. |
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