[Untitled]
In: Ukrainian Mathematical Journal, Jg. 52 (2000), S. 1068-1074
Online
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Zugriff:
On the basis of the exact solution of the linear Dirichlet problem \(u_{tt} - u_{xx} = f\left( {x,t} \right)\), \(u\left( {0,t} \right) = u\left( {\pi ,t} \right) = 0,{\text{ }}u\left( {x,0} \right) = u\left( {x,2\pi } \right) = 0,\)\(0 \leqslant x \leqslant \pi ,{\text{ }}0 \leqslant t \leqslant 2\pi ,\) we obtain conditions for the solvability of the corresponding Dirichlet problem for the quasilinear equation utt − uxx = f(x, t, u, ut).
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[Untitled]
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Autor/in / Beteiligte Person: | Mitropol'skii, Yu. A. ; Khoma, S. G. ; Khoma, N. G. |
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Zeitschrift: | Ukrainian Mathematical Journal, Jg. 52 (2000), S. 1068-1074 |
Veröffentlichung: | Springer Science and Business Media LLC, 2000 |
Medientyp: | unknown |
ISSN: | 0041-5995 (print) |
DOI: | 10.1023/a:1005277616733 |
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