Banach空间非线性脉冲Hammerstein积分方程解的存在性

基金项目: 国家自然科学基金资助项目(19672043);国家教委博士点专项基金

Existence of Solutions for Nonlinear Impulsive Hammerstein Integral Equations in Banach Spaces

摘要: 研究了Banach空间中定义在无穷区间R⁺上具有无穷多个脉冲点的Hammerstein积分方程解的存在性.利用M^Lnch不动点定理,建立了该类方程解的存在定理,并给出实例说明了该定理在无穷维脉冲积分方程组中的应用.
- Hammerstein积分方程 /
- M^Lnch不动点定理 /
- 非紧性测度
Abstract: The existence of solutions for nonlinear impulsive Hammerstein integral equations with infinite numbers of moments of impulse effect on the infinite interval R⁺ in Banach spaces is studied.By means of M^L nch fixed point theorem,an existence theorem of solutions is obtained.The result is demonstrated by means of an infinite system for impulsive integral equations.
- Hammerstein integral equation /
- M^Lnch fixed point theorem /
- measure of noncompactness

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