CAJ | 학술논문

利用广义Riccati变换和不等式技巧,给出了一类时间尺度上二阶非线性时滞动力方程解的一个新的振动准则.该结果不仅推广和改进了已有文献的有关结果,而且在时间尺度上统一了二阶非线性时滞微分方程和二阶非线性时滞差分方程的振动性.
이용엄의Riccati변환화불등식기교,급출료일류시간척도상이계비선성시체동력방정해적일개신적진동준칙.해결과불부추엄화개진료이유문헌적유관결과,이차재시간척도상통일료이계비선성시체미분방정화이계비선성시체차분방정적진동성.
By using the generalized Riccati transformation and the inequality technique,we establish one new oscillation criterion for the second-order nonlinear delay dynamic equations on time scales.Our results not only extend and improve some known theorems,but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation on time scales.