Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842664 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 7 Pages |
Abstract
We study the Cauchy problem for a 1D nonlinear wave equation on RR. The nonlinearity can depend on the unknown function and its first order spatial derivative. Using the fixed point theorem we prove the existence of a classical solution. Moreover, the existence of periodic and almost periodic solutions are shown.
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Authors
Przemysław Górka,