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Multiple homoclinic solutions for discrete Schrödinger equations with perturbed and sublinear terms
Zeitschrift für angewandte Mathematik und Physik ( IF 1.7 ) Pub Date : 2021-03-09 , DOI: 10.1007/s00033-021-01503-z
Guanwei Chen , Martin Schechter

A class of perturbed discrete nonlinear Schrödinger equations with sublinear terms is studied. The new features are: (1) negative and positive energy homoclinic solutions are obtained; (2) the continuity of solutions in the perturbed terms at zero is studied; (3) the positive-definite condition can be removed.



中文翻译:

具有摄动和亚线性项的离散Schrödinger方程的多重同宿解。

研究了一类带有亚线性项的摄动离散非线性薛定ding方程。新的特点是:(1)获得了负能量和正能量同斜解;(2)研究了扰动项为零时解的连续性;(3)可以消除正定条件。

更新日期:2021-03-09
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