标题:
一类新的脉冲积分不等式及其应用A Class of New Impulsive Integral Inequality and Its Application
作者:
李自尊, 黄勇
关键字:
脉冲积分不等式, 脉冲微分方程, 解的估计 Impulsive Integral Inequality; Impulsive Differential Equation; Estimation of Solution
期刊名称:
《Pure Mathematics》, Vol.3 No.1, 2013-01-28
摘要:
本文建立了一类新的非连续函数积分和不等式，其不等式左端为未知函数的非线性因子，右端和项中也为未知函数的非线性因子。我们给出了未知函数的界的估计。最后，我们用求得的结果给出了脉冲微分方程解的估计。In this paper, we establish a class of new integro-sum inequality for discontinuous function, and the left hand of the inequality is a nonlinear factor of unknown function, and the sum-term of the right hand of the inequality for the unknown function is also a nonlinear factor. We obtain the estimation of bound of the unknown function. Finally, we apply our result to present estimation of the solution of impulsive differential equation.