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We consider the following second order differential equation with delay: $$textstylebegin{cases} (Lx)(t)equiv{xu0027u0027(t)+sum_{j=1}^{p} {a_{j}(t)xu0027(t-tau_{j}(t))}+sum_{j=1}^{p} {b_{j}(t)x(t-theta_{j}(t))}}=f(t), u0026 tin[0,omega],  x(t_{k})=gamma_{k}x(t_{k}-0), xu0027(t_{k})=delta_{k}xu0027(t_{k}-0), u0026 k=1,2,ldots,r. end{cases} $$In this paper we use focal problems to analyze the sign constancy of Green’s functions.

Semi-nonoscillation intervals in the analysis of sign constancy of Green’s functions of Dirichlet, Neumann and focal impulsive problems