Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Infinitely Many Periodic Solutions of Nonlinear Equations of Suspended Strings
Masaru Yamaguchi
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2008 年 51 巻 2 号 p. 245-267

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We shall deal with a nonlinear equation of a suspended string with a special density to which a nonlinear time-independent external force is applied. We shall show the existence of infinitely many time-periodic solutions, near time-periodic solutions which are independent of position. The set of the periods is constructed by using algebraic numbers of degree 2 and the continued fractions.
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© 2008 by the Division of Functional Equations, The Mathematical Society of Japan
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