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。
Abstract: 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.