Linear periodic boundary-value problem for a second-order hyperbolic equation. II. Quasilinear problem |
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Authors: | N G Khoma |
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Institution: | (1) Ternopol Academy of National Economy, Ternopol |
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Abstract: | In three spaces, we find exact classical solutions of the boundary-value periodic problem utt - a2uxx = g(x, t) u(0, t) = u(π, t) = 0, u(x, t + T) = u(x, t), x ∈ ℝ, t ∈ ℝ. We study the periodic boundary-value problem for a quasilinear equation whose left-hand side is the d’Alembert operator
and whose right-hand side is a nonlinear operator.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 12, pp. 1680–1685, December, 1998. |
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