线性微分方程的洛瓦兹分解

English | PDF | 2012 | 238 Pages | ISBN : 3709112850 | 2.1 MB

The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.

这本书的核心主题是将洛瓦（Loewy）分解的一般化，最初由他引入来处理线性常微分方程，推广到线性偏微分方程。对于两个独立变量的二阶或三阶单函数的方程进行了全面讨论。给出了可能解类型的完整列表。通过算法获得了文献中可用的各种临时结果。明确声明生成洛瓦分解的可决定边界。所应用的方法可以很明显地推广到更高阶的方程、更多变量的情况，或者这类方程组的情形。

---

Download from free file storage

 Download from nitroflare.com  Download from rapidgator.net  Download from upfiles.com

---

我要反馈

---

本站不对文件进行储存，仅提供文件链接，请自行下载，本站不对文件内容负责，请自行判断文件是否安全，如发现文件有侵权行为，请联系管理员删除。