Banach空间二阶非线性脉冲积分-微分方程初值问题

Abstract

Abstract: In this paper, by using fixed point theory, the existence of solutions
of initial value problems for second order nonlinear impulsive integro-differential equations in Banach spaces is investigated under some relaxed conditions. The compactness and growth restrictions on the impulsive terms have been dropped and thus the results substantially improve and generalize the specific ones.

Key words: Banach space, Impulsive integro-differential equation, Initial value problem,
Measure of noncompactness

CLC Number:

34G20

Xie Shengli. Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces[J].Acta mathematica scientia,Series A, 2007, 27(1): 138-145.

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Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces

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