一类脉冲微分方程边值问题的求解  

Boundary value problems of a class of differential equation with impulses

作　　者：朱丽芹[1] 

机构地区：[1]济南大学数学系,山东济南250002

出　　处：《锦州师范学院学报（自然科学版）》2001年第1期58-59,共2页Journal of Jinzhou Normal College (Natural Science Edition)

摘　　要：给出了一类脉冲微分方程边值问题的求解方法 :先求出 Lx =g( t)R1( x) =y1,R2 ( x) =y2的解 x( t) ,再求出Ly =0 ,t≠ ti,i=1 ,2 ,… ,mΔy| t=ti =Ii( y( ti) + x( ti) ) ,Δy′| t=ti =Ii( y( ti) + x( ti) ) ,i =1 ,2 ,… ,mR1( y) =0 ,R2 ( y) =0的解y( t) ,则 x( t) + y( t)即为此类脉冲边值问题的解。This paper ,an algorithm for Boundary value problems of a class of differential equition with impulses was derived.Namely,firstly found x(t),which is the solution toLx=g(t) R 1(x)=y 1,R 2(x)=y 2 and then solve equation the followongLy=0,t≠t i,i=1,2,…,m Δy｜ t=t i =I i(y(t i)+x(t i)), Δ y′｜ t=t i = i(y(t i)+x(t i)),i=1,2,…,m R 1(y)=0,R 2(y)=0 and get its solution y(t),thus x(t)+y(t) is the solution of the impulse boundary vale problem.

关 键 词：脉冲边值问题 求解方法 脉冲微分方程 脉冲系统 解组 

分 类 号：O175.1[理学—数学] O175.8[理学—基础数学]