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Multipoint problem for hyperbolic equations with variable coefficients

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Abstract

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.

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Authors
  1. P. B. Vasylyshyn
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  2. I. S. Klyus
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  3. B. I. Ptashnyk
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Vasylyshyn, P.B., Klyus, I.S. & Ptashnyk, B.I. Multipoint problem for hyperbolic equations with variable coefficients. Ukr Math J 48, 1659–1668 (1996). https://doi.org/10.1007/BF02529487

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  • DOI: https://doi.org/10.1007/BF02529487

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