Periodic solutions for forced vibrations of wave equation with general nonlinearities: the multidimensional case: the multidimensional case

Donal O'Regan

doi:10.1080/00036811.2014.898270

Periodic solutions for forced vibrations of wave equation with general nonlinearities: the multidimensional case: the multidimensional case

Donal O'Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

We discuss the solvability of the periodic-Dirichlet problem for the wave equation with forced vibrations (Formula presented.) in higher dimensions with side lengths irrational numbers and with a superlinear nonlinearity.

Original language	English (Ireland)
Pages (from-to)	399-408
Number of pages	9
Journal	Appl. Anal.
Volume	94
Issue number	2
DOIs	https://doi.org/10.1080/00036811.2014.898270
Publication status	Published - 1 Jan 2015

Keywords

iteration method
periodic-Dirichlet problem
semilinear equation of forced vibrating string

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Nowakowski, Andrzej and O'Regan, Donal

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10.1080/00036811.2014.898270

Cite this

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title = "Periodic solutions for forced vibrations of wave equation with general nonlinearities: the multidimensional case: the multidimensional case",

abstract = "We discuss the solvability of the periodic-Dirichlet problem for the wave equation with forced vibrations (Formula presented.) in higher dimensions with side lengths irrational numbers and with a superlinear nonlinearity.",

keywords = "iteration method, periodic-Dirichlet problem, semilinear equation of forced vibrating string",

author = "Donal O'Regan",

note = "Publisher Copyright: {\textcopyright} 2014, {\textcopyright} 2014 Taylor \& Francis.",

year = "2015",

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doi = "10.1080/00036811.2014.898270",

language = "English (Ireland)",

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T1 - Periodic solutions for forced vibrations of wave equation with general nonlinearities: the multidimensional case

T2 - the multidimensional case

AU - O'Regan, Donal

PY - 2015/1/1

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N2 - We discuss the solvability of the periodic-Dirichlet problem for the wave equation with forced vibrations (Formula presented.) in higher dimensions with side lengths irrational numbers and with a superlinear nonlinearity.

AB - We discuss the solvability of the periodic-Dirichlet problem for the wave equation with forced vibrations (Formula presented.) in higher dimensions with side lengths irrational numbers and with a superlinear nonlinearity.

KW - iteration method

KW - periodic-Dirichlet problem

KW - semilinear equation of forced vibrating string

UR - https://www.scopus.com/pages/publications/84920675351

U2 - 10.1080/00036811.2014.898270

DO - 10.1080/00036811.2014.898270

M3 - Article

VL - 94

SP - 399

EP - 408

JO - Appl. Anal.

JF - Appl. Anal.

IS - 2

ER -

Periodic solutions for forced vibrations of wave equation with general nonlinearities: the multidimensional case: the multidimensional case

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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