On bounded solutions to weakly nonlinear vector-matrix differential equations of order n
- 作者: Perov A.I.1, Kostrub I.D.1
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隶属关系:
- Voronezh State University
- 期: 卷 57, 编号 4 (2016)
- 页面: 650-665
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170603
- DOI: https://doi.org/10.1134/S003744661604008X
- ID: 170603
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详细
To prove existence and uniqueness (or just existence) of a bounded solution to nonlinear differential equations of higher order, we employ the contraction mapping principle and the Tikhonov Fixed Point Theorem. A quantitative estimate of a nonlinear perturbation preserving basic features of behavior of the corresponding linear equation (asymptotic stability or exponential dichotomy) is important when we pass to a nonlinear equation.
作者简介
A. Perov
Voronezh State University
编辑信件的主要联系方式.
Email: anperov@mail.ru
俄罗斯联邦, Voronezh
I. Kostrub
Voronezh State University
Email: anperov@mail.ru
俄罗斯联邦, Voronezh
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