MULTIPLE HOMOCLINIC SOLUTIONS FOR A ONE-DIMENSIONAL SCHRODINGER EQUATION

被引：2
|
作者：
Dambrosio, Walter [1 ]
Papini, Duccio [2 ]
机构：
[1] Univ Turin, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy
[2] Univ Udine, Dipartimento Sci Matemat Informat & Fis, Via Sci 206, I-33100 Udine, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 04期
关键词：
Schrodinger equation; homoclinic solutions; topological methods; BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; EXISTENCE; DYNAMICS; POINTS; STATES;
D O I：
10.3934/dcdss.2016040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the problem of the existence of homoclinic solutions to a Schrodinger equation of the form x '' - V(t)x + x(3) = 0, where is a stepwise potential. The technique of proof is based on a topological method, relying on the properties of the transformation of continuous planar paths (the S.A.P. method), together with the application of the classical Conley-Wa-zewski's method.
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页码：1025 / 1038
页数：14
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