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| The Periodic Solutions of a Nonhomogeneous String withDirichlet-Neumann Condition |
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Citation： |
Changqing TONG,Jing ZHENG.The Periodic Solutions of a Nonhomogeneous String withDirichlet-Neumann Condition[J].Chinese Annals of Mathematics B,2014,35(4):619~632 |
| Page view： 1205
Net amount： 900 |
Authors： |
Changqing TONG; Jing ZHENG; |
Foundation： |
the Zhejiang Provincial Department of Education Research Fund
(No.Y201326873). |
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| Abstract： |
This paper deals with the existence of periodic solutions of a nonhomogeneous
string with Dirichlet-Neumann condition. The authors consider the case that the period is
irrational multiple of space length and prove that for some irrational number, zero is not
the accumulation point of the spectrum of the associated linear operator. This result can
be used to prove the existence of the periodic solution avoid using Nash-Moser iteration. |
Keywords： |
Nonhomogeneous string, Periodic solutions, Weak solution, Continued
fraction, Lagrange constant |
Classification： |
35B10, 35L05, 35L20 |
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