【摘要】 本文利用常微分方程组的通解及不动点定理研究了方程.x′(t)—cx′(—t)=f(t,x(t),x(—t)) t∈R (*)的有界解的存在性,并讨论了当f(t,x(t),x(—t))为x(t),x(—t)的线性泛函时,方程(*)的解的渐近性态.更多还原

【Abstract】 In this paper,existance and uniquences of bounded solution for differential equation x’(t)-cx’(-t)=f(t,x(t) x(-t)) t∈R (*) has been studied by using fixed theorem.The asymptotic behaviour of solutions of equation (*) has been discussed when f(t,x (t) x(-t)) is a lineal function of x(t),x(-t).更多还原