... neutral type (Formula presented.)(t) + p(t)(Formula presented.)(t − 1) = a(t)x(t − 1) + f(t). We examine the initial-value problem with an initial function in the case where the initial condition is given on an initial set. We use the method of polynomial quasisolutions based on the representation of the unknown function x(t) in the form of a polynomial of degree N. Substituting this function in the original equation we obtain the discrepancy Δ(t) = O(tN), for which an exact analytic representation ...
Теги: differential-difference equation , initial-value problem with an initial function , polynomial quasisolution , smooth solution
