For a linear hyperbolic equation of fourth order, a Dirichlet type boundary problem in an orthogonally convex domain is investigated. Sharp sufficient conditions guaranteeing solvability and well-posedness of the problem under consideration are established.

中文翻译：

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四阶线性双曲方程的二维Dirichlet型问题

针对四阶线性双曲方程，研究正交凸域中的狄利克雷型边界问题。建立保证所考虑问题的可解性和适定性的尖锐充分条件。