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分数阶nabla差分方程振动性的充分条件(英文)
Sufficient Conditions for Oscillation of Fractional Nabla Difference Equation
【摘要】 建立一类非线性分数阶nabla差分方程▽(▽αax(t))+f(t,x(t))= g(t)解的振动性的两个充分条件,其中,初值条件是▽a-(2-α)x(a +1)=c1 和▽▽a-(2-α)x(a+1)=c2,并给出两个例子来说明该条件是最佳的.
【Abstract】 Two sufficient conditions for oscillation of a nonlinear fractional nabla difference equation of the form ▽(▽αax(t))+f(t,x(t))= g(t),t ∈ Na+1,with initial condition▽a-(2-α)x(a +1)=c1 and▽▽a-(2-α)x(a+1)=c2 are established.And two examples are presented to indicate the sharpness of our conditions.
【关键词】 振动性;
离散分数阶差分;
分数阶nabla差分方程;
【Key words】 oscillation; discrete fractional calculus; fractional nabla difference equation;
【Key words】 oscillation; discrete fractional calculus; fractional nabla difference equation;
【基金】 National Natural Science Foundation of China(11671227)
- 【文献出处】 曲阜师范大学学报(自然科学版) ,Journal of Qufu Normal University(Natural Science) , 编辑部邮箱 ,2018年03期
- 【分类号】O175.7
- 【下载频次】38