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We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x
1,...,x
p for equations unsolved with respect to the leading derivative with respect to t and containing pseudodifferential operators. We establish conditions for the unique solvability of this problem and prove metric assertions related to lower bounds for small denominators appearing in the course of its solution. 相似文献
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We investigate the well-posedness of problems for partial differential equations unresolved with respect to the higher time
derivative with multipoint conditions with respect to time. By using the metric approach, we determine lower bounds for small
denominators appearing in the course of the solution of the problems.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1604–1613, December, 1999. 相似文献
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Conditions of correct solvability in various functional spaces of a problem with multipoint conditions in the time variable and periodicity conditions in the space coordinate are established for partial differential equations that are unsolvable for the highest derivative with time. Metric theorems on lower estimates of small denominators that arise in the construction of solutions are proved. 相似文献
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By using the metric approach, we study the problem of classical well-posedness of a problem with multipoint conditions with
respect to time in a tube domain for linear hyperbolic equations of order 2n (n ≥ 1) with coefficients depending onx. We prove metric theorems on lower bounds for small denominators appearing in the course of the solution of the problem. 相似文献
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