非线性加载项抛物-双曲型方程BVPs的可解性

Journal of Siberian Federal University. Mathematics and Physics Pub Date : 2021-04-01 DOI:10.17516/1997-1397-2021-14-2-133-145

O. Abdullaev

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引用次数: 2

摘要

本文研究了一类含Caputo导数的抛物-双曲型方程的边界非局部假设和积分粘接条件下BVP解的存在唯一性。利用能量积分法，证明了解的唯一性。用积分方程法证明了解的存在性

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term

This work is devoted to prove the existence and uniqueness of solution of BVP with non-local assumptions on the boundary and integral gluing conditions for the parabolic-hyperbolic type equation involving Caputo derivatives. Using the method of integral energy, the uniqueness of solution have been proved. Existence of solution was proved by the method of integral equations

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Journal of Siberian Federal University. Mathematics and Physics

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