Geodesic
Nonhomogeneous boundary value problem for a semilinear hyperbolic equation
Andrzej Nowakowski1
1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland
Applicationes Mathematicae, Tome 35 (2008) no. 1, pp. 81-95 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We discuss the solvability of a nonhomogeneous boundary value problem for the semilinear equation of the vibrating string $x_{tt}(t,y)-\Delta x(t,y)+f(t,y,x(t,y))=0$ in a bounded domain and with a certain type of superlinear nonlinearity. To this end we derive a new dual variational method.
DOI : 10.4064/am35-1-5
Keywords: discuss solvability nonhomogeneous boundary value problem semilinear equation vibrating string delta x bounded domain certain type superlinear nonlinearity end derive dual variational method

Andrzej Nowakowski 1

1 Faculty of Mathematics University of /L/od/x Banacha 22 90-238 /L/od/x, Poland 
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Andrzej Nowakowski. Nonhomogeneous boundary value problem for
 a semilinear hyperbolic equation. Applicationes Mathematicae, Tome 35 (2008) no. 1, pp. 81-95. doi: 10.4064/am35-1-5

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