书目名称 | Theory of Third-Order Differential Equations |
编辑 | Seshadev Padhi,Smita Pati |
视频video | http://file.papertrans.cn/925/924012/924012.mp4 |
概述 | Highlights the results that hold good for constant coefficient equations of third order linear differential equations.Contains all the latest results, with the reasons for their importance in the pres |
图书封面 |  |
描述 | .This book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, in his book written in 1987, only deals with third-order linear differential equations. These findings are old, and new techniques have since been developed and new results obtained..Chapter 1 introduces the results for oscillation and non-oscillation of solutions of third-order linear differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of non-oscillatory solutions of homogeneous third-order linear differential equations with variable coefficients are discussed in Ch. 2. The results are extended to third-order linear non-homogeneous equations in Ch. 3, while Ch. 4 explains the oscillation and non-oscillation results for homogeneous third-order nonlinear differential equations. Chapter 5 deals with the .z.-type oscillation and non-oscillation of third-order nonlinear and non-homogeneous differential equations. Chapter 6 is devoted to the study of third-orde |
出版日期 | Book 2014 |
关键词 | Asymptotic behaviour; Delay differential equations; Nonoscillatory solution; Oscillatory solution; Stabi |
版次 | 1 |
doi | https://doi.org/10.1007/978-81-322-1614-8 |
isbn_softcover | 978-81-322-2920-9 |
isbn_ebook | 978-81-322-1614-8 |
copyright | Springer India 2014 |