Infinitely many periodic solutions for the equation

Kazunaga Tanaka*, Key Words

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


Existence of forced vibrations of nonlinear wave equation: (formula presented)existence of infinitely many periodic solutions is proved. This improves the results of the author [29, 30]. We use variational methods to show the existence result. Minimax arguments and energy estimates for the corresponding functional play an essential role in the proof.

Original languageEnglish
Pages (from-to)615-645
Number of pages31
JournalTransactions of the American Mathematical Society
Issue number2
Publication statusPublished - 1988 Jun
Externally publishedYes


  • Minimax method
  • Nonlinear wave equation
  • Periodic solution
  • Perturbation
  • Variational method

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


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