Existence and Qualitative Property of Differential Equation with Delayed Arguments
Existence of Nonocillatory Bounded Solutions
Oscillation Criteria
Second Order Multiple Delay Differential Equation
Banach Space
In this paper, some conditions to guarantee the existence of bounded solution to the second order multi delayed arguments differential equation are given. The Krasnoselskii theorem used to the Lebesgue’s dominated convergence and fixed point to obtain some new sufficient conditions for existence of solutions. Some important lemmas are established that are useful to prove the main results for oscillatory property. We also submitted some sufficient conditions to ensure the oscillation criteria of bounded solutions to the same equation.
