The Necessary and sufficient conditions for the oscillation of solutions to a second-order neutral differential equation with impulses

  • Shyam Sundar Santra Sambalpur University
  • Julio G. Dix


In this work, we obtain necessary and sufficient conditions for the oscillation of the solutions to a second-order neutral differential equation with impulses. Our main tool is Lebesgue's Dominated Convergence Theorem. We illustrate our results with two examples and state an open problem.