Multiple periodic solutions of a superlinear forced wave equation

Kazunaga Tanaka

doi:10.1007/BF01759999

Multiple periodic solutions of a superlinear forced wave equation

Kazunaga Tanaka^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	43-76
Number of pages	34
Journal	Annali di Matematica Pura ed Applicata
Volume	162
Issue number	1
DOIs	https://doi.org/10.1007/BF01759999
Publication status	Published - 1992 Dec
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1007/BF01759999

Cite this

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title = "Multiple periodic solutions of a superlinear forced wave equation",

abstract = "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).",

author = "Kazunaga Tanaka",

year = "1992",

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N2 - 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).

AB - 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).

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ER -

Multiple periodic solutions of a superlinear forced wave equation

Abstract

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