Oscillations Of Second Order Impulsive Differential Equations And N-order Differential Equations Involving Quasi-derivatives

This desertation is devoted to studying of necessary and sufficient conditions for oscillation of the differential equation. In chapterâ…¡, we will consider the necessary and sufficient conditions for oscillation of the bounded solution of second order neutral impulsive differential equationwhereq > 0, q₁ > 0, p < 0,Ï„< 0 andσ< 0.In chapterâ…¢, we will consider the necessary and sufficient conditions for oscillation of the even order differential equations involving quasi-derivativesL_nx(t) + q(t)x^γ(t) = 0, n is even,where q(t)∈C([t₀,∞), R⁺),γis the quotient of odd positive integers.