引导动力系统及其在泛函和偏微分方程中的应用
Guided Dynamical Systems and Applications to Functional and Partial Differential Equations
摘要：
在这篇论文中，我们引入了引导动力系统的概念，并利用这一思想来解决函数方程和偏微分方程中的各种问题。我们的主要结果是：1）一个初值函数方程唯一可解的充要条件; 2）一个大类函数方程超定性的证明; 3）一个三阶双曲型偏微分方程边值问题唯一可解的充要条件.
英文摘要：
In this thesis we introduce the concept of a guided dynamical system, and exploit this idea to solve various problems in functional equations and PDE's. Our main results are 1) a necessary and sufficient condition for unique-solvability of an initial value functional equation, 2) a proof of the overdeterminedness of a large class of functional equations and 3) a necessary and sufficient condition for unique-solvability of a boundary value problem for a third order, hyperbolic PDE.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
