The Tychonoff-Schauder theorem and the existence of bounded solutions of quasilinear hyperbolic systems of differential equations

被引:0
作者
Ivanov O.A. [1 ]
机构
[1] St.Petersburg State University, St.Petersburg
关键词
Russia; Differential Equation; Ordinary Differential Equation; Point Theorem; Fixed Point Theorem;
D O I
10.1007/s10958-008-9118-z
中图分类号
学科分类号
摘要
The Tychonoff-Schauder fixed point theorem is applied to prove the existence of bounded solutions of systems of ordinary differential equations that are C0-close to linear hyperbolic systems. Bibliography: 3 titles. © 2008 Springer Science+Business Media, Inc.
引用
收藏
页码:47 / 50
页数:3
相关论文
共 3 条
[1]  
Ivanov O.A., Bounded solutions of quasilinear systems, Vestnik LGU, 22, pp. 99-100, (1985)
[2]  
Pliss V.A., Integral Sets of Periodic Systems of Differential Equations, (1977)
[3]  
Hartman P., Ordinary Differential Equations, (1964)