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On the qualitative behavior of the solutions to second-order neutral delay differential equations

Chatzarakis George E., Santra Shyam S.

Fasciculi Mathematici

2020

nr 64

43--56

In this paper, we study the qualitative behavior of the solutions to second-order neutral delay differential equations of the form (r(t) ((x(t) + p(t)x(τ (t)))′)γ)′ + q(t)f (x(σ(t))) = 0. Our main tool is Lebesgue’s dominated convergence theorem. Examples illustrating the applicability of the results are also given.