Advances in Differential Equations and Control Processes
Volume 16, Issue 2, Pages 109 - 117
(November 2015) http://dx.doi.org/10.17654/DE016020109 |
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EXISTENCE OF FUNDAMENTAL SOLUTIONS WITH EXPONENTIAL DECAY FOR THE UPPER HALF PLANE SPECTRAL PROBLEM SYSTEM OF SCHRÖDINGER-TYPE WITH A POTENTIAL SYSTEM OF FADDEEV-TYPE
Gulmaro Corona Corona
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Abstract: In the half plane, the spectral boundary problem system of Schrödinger-type possesses two fundamental solutions with exponential decay. These exponential decays are consequences of the existence and continuity of the solutions themselves, therefore, it is not required to assume those decays as specified in [1] and [2]. Their existence and continuity are granted for a potential system with a decay of Faddeev-type. |
Keywords and phrases: fundamental solutions, exponential decay, Jost solutions. |
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