关键词: 广义常微分方程, 脉冲微分方程, $(h_{0}, h)$-一致有界性, $(h_{0}, h)$-一致最终有界性

Abstract:

In this paper, we utilize the theory of Kurzweil-Henstock integrals to investigate new criteria

for boundedness in terms of two measures for generalized ordinary differential equations.

As applications, we establish criteria for $(h_{0}, h)$-uniform boundedness

and $(h_{0}, h)$-uniform ultimate boundedness in terms of two measures for impulsive differential equations.

Key words: Generalized ordinary differential equation, Impulsive differential equation, $(h_{0}, h)$-uniform boundedness, $(h_{0}, h)$-uniform ultimate boundedness