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时间模上一阶初值问题的拟线性方法
Quasilinearization Method for First Order Initial Value Problems on Time Scales
【摘要】 应用拟线性方法和上下解方法获得一致收敛于初值问题xΔ(t)=f(t,x)+g(t,x),x(a)=x0,t∈Tk,T=[a,b]的唯一解的单调序列.
【Abstract】 The method of quasilinearization and the method of upper and lower solutions were used to approach the unique solution of the initial value problems(IVPS) on time scales x Δ (t)=f(t,x)+g(t,x),x(a)=x0,t∈Tk,T= from below and above by monotone sequences of upper and lower solutions.
【关键词】 时间模;
初值问题;
上下解;
拟线性方法;
【Key words】 Time scales; initial value problem; upper and lower solutions; quasilinearization method;
【Key words】 Time scales; initial value problem; upper and lower solutions; quasilinearization method;
【基金】 国家自然科学基金(10071045);山西省自然科学基金(20001001)
- 【文献出处】 山西大学学报(自然科学版) ,Journal of Shanxi University (Natural Science Edition) , 编辑部邮箱 ,2004年01期
- 【分类号】O175
- 【被引频次】6
- 【下载频次】38