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滞后型脉冲泛函微分方程解对初值的可微性
Differentiability in Terms of Initial Value for Impulsive Functional Differential Equation
【摘要】 考虑脉冲泛函微分方程{x′=f(t,xt),t>t0,t≠tk,△x=Ik(x(t)),t=tk,k=1,2,…,x(t0+)=ω,xt0=φ。局部解的存在性,及在局部解存在的前提下解对初值(φ,f)的可微性。
【Abstract】 Consider impulsive functional differential equationx’ = f(t,xt),t> t0,t≠ tk,x = Ik(x(t)),t = tk,k = 1,2,…,x(t+0)=ω,xt0=φthe existence of local solution and dierentiability of solution about initial value on condition is studied that the existence of local solution.
【关键词】 脉冲泛函微分方程;
初值;
L~1([-r,0],R);
可微性;
【Key words】 impulsive functional dierential equation initial value L~1(-r; 0; R)dierentiability.;
【Key words】 impulsive functional dierential equation initial value L~1(-r; 0; R)dierentiability.;
【基金】 国家自然基金(10571111);山东省自然基金(Y2005A07)项目资助
- 【文献出处】 科学技术与工程 ,Science Technology and Engineering , 编辑部邮箱 ,2008年02期
- 【分类号】O175
- 【下载频次】67