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A note on small periodic solutions of discrete nonlinear Klein-Gordon equations

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 نشر من قبل Masaya Maeda
 تاريخ النشر 2016
  مجال البحث
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 تأليف Masaya Maeda




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In this note, we consider discrete nonlinear Klein-Gordon equations with potential. By the pioneering work of Sigal, it is known that for the continuous nonlinear Klein-Gordon equation, no small time periodic solution exists generically. However, for the discrete nonlinear Klein-Gordon equations, we show that there exist small time periodic solutions.



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