Oscillation theorems for second order neutral differential equations

  title={Oscillation theorems for second order neutral differential equations},
  author={Blanka Bacul{\'i}kov{\'a} and Jozef Dzurina},
  journal={Computers & Mathematics with Applications},
In this paper new oscillation criteria for the second order neutral differential equations of the form (E) ` r(t) [x(t) + p(t)x(τ (t))]′ ́ ′ + q(t)x(σ(t)) + v(t)x(η(t)) = 0 are presented. Gained results are based on the new comparison theorems, that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order equation. Obtained comparison principles essentially simplify the examination of the studied equations. We cover all possible cases… CONTINUE READING
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