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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 2
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Articles

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

Andrzej NowakowskiFaculty of Mathematics and Computer Science, University of Lodz, Banacha 22, Lodz90-238, Poland.;University of Computer Sciences and Skills, Rzgowska 17a, Lodz93-008, Poland.Correspondence[email protected]
&
Donal O’ReganMathematics, National University of Ireland, Galway, Ireland.
Pages 399-408 | Received 03 Jul 2013, Accepted 21 Feb 2014, Published online: 28 Mar 2014
 
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Abstract

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

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