Oscillatory properties of the solutions of impulsive differential equations with a deviating argument and nonconstant coefficients. (English) Zbl 0912.34059

Sufficient conditions are found for the oscillation of all solutions to the impulsive differential equation with a deviating argument \[ x'(t)+p(t)x(t-\tau)=0,\quad t\neq\eta_k, \qquad \Delta x(\tau_k)=b_k x(\tau_k),\quad t=\tau_k, \] where the function \(p\) is not of constant sign.
Reviewer: I.Ginchev (Varna)


34K11 Oscillation theory of functional-differential equations
34A37 Ordinary differential equations with impulses
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