【摘要】 本文讨论了微分差分方程之满足边界条件的解的存在性,在此基础上进一步讨论了奇摄动微分差分方程之满足同类边界条件的解的存在性,并给出了解的渐近估计。更多还原

【Abstract】 In this paper the existence of the solutions satisfying the boundary conditions x|（_τ≤t≤o）=（?）（t）, （αx+βx’）|_t=1=A to the differential-difference equations x"（t） =f（t,x（t）,x（t-τ）,x’（t））, o≤t≤1, is discussed, then the existence of the solutions satisfying the same kind of boundary conditions to the singularly perturbed differential-difference equations εx"（t） =f（t,x（t）,x（t-τ）,x’（t）,ε）, O≤t≤1,is proved by using the method of constructing upper and lower solutions, and the asymptotic estimation of the solution is given as well.更多还原