Ulam stabilities of ordinary differential equations in a Banach space-猫眼课题宝

DOI：

发表时间：

2010

期刊：

Biometrics

影响因子：

1.9

通讯作者：

中科院分区：

数学3区

文献类型：

作者：

I. Rus

设（B;j j）是Banach空间，A：B！B是C_0-半群的无穷小生成元，I：=（a;B）或（a;+1）且f 2 C（I B;B）.本文给出并讨论了如下微分方程u 0（t）= A（u（t））+f（t;u（t））; t2 I的四种Ulam稳定性：Ulam-Hyers稳定性，广义Ulam-Hyers稳定性，Ulam-Hyers-Rassias稳定性和广义Ulam-Hyers-Rassias稳定性：

Let (B;j j ) be a Banach space, A : B ! B be the infinitesimal generator of a C0- semigroup, I := (a;b) or (a;+1( and f 2 C(I B;B). In this paper we present and discuss four types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for the following differential equation u 0 (t) = A(u(t)) +f(t;u(t)); t2 I:

Ulam stabilities of ordinary differential equations in a Banach space

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