EXISTENCE AND UNIQUENESS OF MILD AND CLASSICAL SOLUTIONS OF IMPULSIVE EVOLUTION EQUATIONS

被引：0

作者：

Anguraj, Annamalai ^{[1
]}

Arjunan, Mani Mallika ^{[1
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, Tamil Nadu, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年

关键词：

Semigroups; evolution equations; impulsive conditions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the non- linear impulsive evolution equation u'(t) = Au(t) + f(t, u(t), Tu(t), Su(t)), 0 < t < T0, t 6 = ti, u(0) = u0, Delta u(t(i)) = I-i(u(t(i))), i = 1, 2, 3,..., p. in a Banach space X, where A is the infinitesimal generator of a C-0 semigroup. We study the existence and uniqueness of the mild solutions of the evolution equation by using semigroup theory and then show that the mild solutions give rise to a classical solutions.

引用

页数：8

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