给出了n阶非线性中立型微分方程m[x(t)+p(t)x(τ(t))](n)+sum (qi(t)fi(x(σi(t)))) from i=1 to m=0,t≥t0的振动性的一些充分条件,其中n≥2为偶数.结果完善和推广了Grammatikopoulos et al.Meimaridou A,Rat Mat(1985),Grace and Lall...给出了n阶非线性中立型微分方程m[x(t)+p(t)x(τ(t))](n)+sum (qi(t)fi(x(σi(t)))) from i=1 to m=0,t≥t0的振动性的一些充分条件,其中n≥2为偶数.结果完善和推广了Grammatikopoulos et al.Meimaridou A,Rat Mat(1985),Grace and Lalli(1987),Ruan(1993),Li H J(1997),Xuand Xia(2008),Han and Li(2010).展开更多
A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t) + p(t)x′(t) + q(t)｜x(t)｜αsgnx(t) = 0, t ≥ t0,where α>1,p and q are continuous f...A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t) + p(t)x′(t) + q(t)｜x(t)｜αsgnx(t) = 0, t ≥ t0,where α>1,p and q are continuous functions on[t0,∞). This criterion extends and unifies some of the results obtained in [1]- [5].展开更多
By employing a generalized Riccati technique and an integral averaging tech-nique, new interval oscillation criteria are established for the forced second-order half-lineardifferential equation [r(t)|x′ (t)|α-1x′ (...By employing a generalized Riccati technique and an integral averaging tech-nique, new interval oscillation criteria are established for the forced second-order half-lineardifferential equation [r(t)|x′ (t)|α-1x′ (t)]′ + q(t)|x(t)|α-1x(t) = e(t).展开更多
By employing the inequality of [8] and a positive continuous function g（t）, t[t0, ＋∞）, oscillation criteria for the second-order half-linear impulsive differential equ-ations with damping are established. Our res...By employing the inequality of [8] and a positive continuous function g（t）, t[t0, ＋∞）, oscillation criteria for the second-order half-linear impulsive differential equ-ations with damping are established. Our results generalize and improve some known ones.展开更多
This paper discusses a class of forced second-order half-linear differential equations. By using the generalized Riccati technique and the averaging technique, some new interval oscillation criteria are obtained.
Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represen...Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.展开更多
文摘给出了n阶非线性中立型微分方程m[x(t)+p(t)x(τ(t))](n)+sum (qi(t)fi(x(σi(t)))) from i=1 to m=0,t≥t0的振动性的一些充分条件,其中n≥2为偶数.结果完善和推广了Grammatikopoulos et al.Meimaridou A,Rat Mat(1985),Grace and Lalli(1987),Ruan(1993),Li H J(1997),Xuand Xia(2008),Han and Li(2010).
文摘A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t) + p(t)x′(t) + q(t)｜x(t)｜αsgnx(t) = 0, t ≥ t0,where α>1,p and q are continuous functions on[t0,∞). This criterion extends and unifies some of the results obtained in [1]- [5].
文摘By employing a generalized Riccati technique and an integral averaging tech-nique, new interval oscillation criteria are established for the forced second-order half-lineardifferential equation [r(t)|x′ (t)|α-1x′ (t)]′ + q(t)|x(t)|α-1x(t) = e(t).
基金Foundation item： Supported by the Natural Science Foundation of Guangdong Province（011471）
文摘By employing the inequality of [8] and a positive continuous function g（t）, t[t0, ＋∞）, oscillation criteria for the second-order half-linear impulsive differential equ-ations with damping are established. Our results generalize and improve some known ones.
文摘This paper discusses a class of forced second-order half-linear differential equations. By using the generalized Riccati technique and the averaging technique, some new interval oscillation criteria are obtained.
文摘Interval oscillation criteria are established for a second-order functional dynamic equation of Emden-Fowler type with oscillatory potential by applying Riccati and generalized Riccati techniques. The results represent further improvements on those given even for differential and difference equations. Some examples are considered to illustrate the main results.
