摘要

The impulsive delay differential equation is considered (Lx)(t) = x'(t) + Sigma(m)(i=1) p(i)(t)x(t - tau(i)(t)) = f(t), t epsilon [a,b], x(t(j)) = beta(j)x(t(j) - 0), j = 1, ... , k, a = t(0) < t(1) < t(2) < ... < t(k) < t(k+1) = b, x(zeta) = 0, zeta is not an element of[a,b], with nonlocal boundary condition lx = integral(b)(a) phi(s)x'(s)ds + theta x(a) = c, phi epsilon L-infinity[a,b]; theta, c epsilon R. Various results on existence and uniqueness of solutions and on positivity/negativity of the Green's functions for this equation are obtained.

  • 出版日期2014