ABSTRACT

This paper considers hyperbolic wave equations with non-local in time conditions involving integrals with respect to time. It is shown that regularity of the solution can be achieved for complexified problem with integral conditions involving harmonic complex exponential weights. The paper establishes existence, uniqueness, and regularity of the solutions.

中文翻译：

---

具有积分条件的复双曲方程的正则性

摘要

本文考虑了具有非局部时间条件的双曲波动方程，涉及时间积分。结果表明，对于包含调和复指数权重的积分条件的复杂问题，可以实现解的规律性。本文确立了解的存在性、唯一性和规律性。