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1.
On the basis of the exact solution of the linear Dirichlet problem
,
we obtain conditions for the solvability of the corresponding Dirichlet problem for the quasilinear equation u
tt – u
xx = f(x, t, u, u
t). 相似文献
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O. N. Litvin 《Ukrainian Mathematical Journal》1992,44(11):1378-1384
A general algorithm is proposed for constructing interlineation operators
, x=(x1, x2) with the properties
相似文献
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For functionsf which have an absolute continuous (n–1)th derivative on the interval [0, 1], it is proved that, in the case ofn>4, the inequality
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