CAJ | 학술논문

运用微分不等式技巧分析了初始时刻不同的非线性微分方程的严格稳定性和严格实用稳定性。把初始时刻不同的非线性微分系统稳定性的有关概念推广到初始时刻不同的非线性微分系统的严格稳定性，提出了几个非线性微分系统初始时刻不同严格稳定性的判定准则和一个初始时刻不同的比较定理。运用这个比较定理，得到一个新的非线性微分方程初始时刻不同的严格稳定性的判定准则。
운용미분불등식기교분석료초시시각불동적비선성미분방정적엄격은정성화엄격실용은정성。파초시시각불동적비선성미분계통은정성적유관개념추엄도초시시각불동적비선성미분계통적엄격은정성，제출료궤개비선성미분계통초시시각불동엄격은정성적판정준칙화일개초시시각불동적비교정리。운용저개비교정리，득도일개신적비선성미분방정초시시각불동적엄격은정성적판정준칙。
Strict stability and strict practical stability of nonlinear differential systems relative to initial time differ -ence was analyzed by using differential inequalities technique .The concepts of stability of nonlinear differential equa-tions with initial time difference was developed to strict stability of nonlinear differential equations with initial time difference .Several criteria of strict stability of nonlinear differential systems relative to initial time difference were giv -en.A comparison principle with initial time unchanged was presented .By employing the presented comparison princi-ple, a new strict stability criteria of nonlinear differential equations with initial time difference was obtained .