Infinitely many periodic solutions for the equation

Kazunaga Tanaka; Key Words

doi:10.1090/S0002-9947-1988-0940220-X

Infinitely many periodic solutions for the equation

Kazunaga Tanaka^*, Key Words

^*Corresponding author for this work

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

12 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	615-645
Number of pages	31
Journal	Transactions of the American Mathematical Society
Volume	307
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1988-0940220-X
Publication status	Published - 1988 Jun
Externally published	Yes

Keywords

Minimax method
Nonlinear wave equation
Periodic solution
Perturbation
Variational method

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-1988-0940220-X

Cite this

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title = "Infinitely many periodic solutions for the equation",

abstract = "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.",

keywords = "Minimax method, Nonlinear wave equation, Periodic solution, Perturbation, Variational method",

author = "Kazunaga Tanaka and Key Words",

year = "1988",

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T1 - Infinitely many periodic solutions for the equation

AU - Tanaka, Kazunaga

AU - Words, Key

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N2 - 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.

AB - 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.

KW - Minimax method

KW - Nonlinear wave equation

KW - Periodic solution

KW - Perturbation

KW - Variational method

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 2

ER -

Infinitely many periodic solutions for the equation

Abstract

Keywords

ASJC Scopus subject areas

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