MR2440941
Masaru YAMAGUCHI
Masaru YAMAGUCHI
Infinitely Many Periodic Solutions of Nonlinear Equations of Suspended Strings
Funkcialaj Ekvacioj. Serio Internacia
51
2008
245--267
http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-2/51_245.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2440941
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.
Periodic solutions, Equation of a suspended string, Diophantine inequality.
35B10, 35L20.
51-245
2008
Infinitely Many Periodic Solutions of Nonlinear Equations of Suspended Strings
Masaru YAMAGUCHI
Masaru YAMAGUCHI
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