| 书目名称 | Oscillation Theory of Two-Term Differential Equations | | 编辑 | Uri Elias | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | Oscillation theory was born with Sturm‘s work in 1836. It has been flourishing for the past fifty years. Nowadays it is a full, self-contained discipline, turning more towards nonlinear and functional differential equations. Oscillation theory flows along two main streams. The first aims to study prop erties which are common to all linear differential equations. The other restricts its area of interest to certain families of equations and studies in maximal details phenomena which characterize only those equations. Among them we find third and fourth order equations, self adjoint equations, etc. Our work belongs to the second type and considers two term linear equations modeled after y(n) + p(x)y = O. More generally, we investigate LnY + p(x)y = 0, where Ln is a disconjugate operator and p(x) has a fixed sign. These equations enjoy a very rich structure and are the natural generalization of the Sturm-Liouville operator. Results about such equations are distributed over hundreds of research papers, many of them are reinvented again and again and the same phenomenon is frequently discussed from various points of view and different definitions of the authors. Our aim is to introduce | | 出版日期 | Book 1997 | | 关键词 | Boundary value problem; DEX; Finite; Lemma; Natural; boundary element method; character; differential equat | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-2517-0 | | isbn_softcover | 978-90-481-4806-6 | | isbn_ebook | 978-94-017-2517-0 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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发表于 2025-3-21 19:49:05
