【摘要】 目的研究一阶具有分段常数变量的脉冲微分方程的解的性质.方法单调迭代法、数学归纳法.结果对于一阶具有分段常数变量的脉冲微分方程m′(t)≤-Mm(t)-Nm([t-k]),m(ti+)≤bim(ti),这里,t∈J=[0,T]t≠tii=1,2,…,p.得到了不等式的解m(t)≤0的两个充分条件.结论一阶具有分段常数变量的脉冲微分方程的解m(t)在一定条件下满足m(t)≤0.更多还原

【Abstract】 Objective To investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.Method The monotonously iterative method and the mathematical induction.Resutlt Two sufficient conditions of the solution m(t)≤0 for first order impulsive differential equations with piecewise constant arguments——m′(t)≤-M(m)t-Nm(),m(t+i)≤bim(ti),where t∈J=t≠ti i=1,2,…,p,are obtained.Conclusion The solution m(t) to first order impulsive differential equations with piecewise constant arguments satisfies m(t)≤0 under certain conditions.更多还原