On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces

被引：0

作者：

Nguyen Sinh Bay

Nguyen The Hoan

Nguyen Minh Man

机构：

来源：

Ukrainian Mathematical Journal | 2008年 / 60卷

关键词：

Banach Space; Compact Operator; Nonlinear Differential Equation; Linear Differential Equation; Unbounded Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We present some conditions for the asymptotic equilibrium of nonlinear differential equations and, in particular, a linear inhomogeneous equation in Banach spaces. We also discuss analogous problems for a linear equation with unbounded operator. Some obtained results are applied to problems of asymptotic equivalence.

引用

页码：716 / 729

页数：13

共 6 条

[1]

Hoan N. T.(1981)Asymptotic behavior of solutions of nonlinear systems of differential equations Differents. Uravn. 12 624-628

[2]

Voskresenskii E. V.(1989)On the Cesari problem Differents. Uravn. 25 1480-1485

[3]

Seah S. W.(1982)Existence of solutions and asymptotic equilibrium of multivalued differential systems J. Math. Anal. Appl. 89 648-663

[4]

Seah S. W.(1980)Asymptotic equivalence of multivalued differential systems Boll. Unione Math. Ital. B 17 1124-1145

[5]

Man N. M.(2003)On the asymptotic behavior of solutions of linear differential equations Ukr. Mat. Zh. 55 561-569

[6]

Hoan N. T.(undefined)undefined undefined undefined undefined-undefined

← 1 →