Multiple periodic solutions of a superlinear forced wave equation

Kazunaga Tanaka*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We study the existence of forced vibrations of nonlinear wave equation: {Mathematical expression} where g(ξ)∈C(R, R)is a function with superlinear growth and f(x, t) is a function which is 2π-periodic in t. Under the suitable growth condition on g(ξ), we prove the existence of infinitely many solution of (*) for any given f(x, t).

Original languageEnglish
Pages (from-to)43-76
Number of pages34
JournalAnnali di Matematica Pura ed Applicata
Issue number1
Publication statusPublished - 1992 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


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