Tunc, Cemil2025-05-102025-05-1020100924-090X1573-269X10.1007/s11071-010-9776-52-s2.0-78049458490https://doi.org/10.1007/s11071-010-9776-5https://hdl.handle.net/20.500.14720/1660Tunc, Cemil/0000-0003-2909-8753In this paper, we obtain some sufficient conditions to guarantee the uniform asymptotic stability of zero solution and bounded of all solutions to non-autonomous delay differential equation of third order (sic)(t) + a(t)phi(over dot (x)(sic)(t) + b(t)psi(over dot (t)) + c(t)h(x(t-r)) = p(t, x(t), x(t-r), over dot (x)(t), over dot (x)(t - r), (sic)(t)), when p(t, x(t), x(t - r), x(t - r), over dot (x)(t), over dot (x)(t - r), (sic)(t)) = 0 and p(t, x(t), x(t-r), over dot (x)(t), over dot (x)(t - r), (sic)(t)) not equal 0 respectively. By using the Liapunov functional approach, we prove two new results on the subject.eninfo:eu-repo/semantics/closedAccessBoundednessStabilityNon-AutonomousDifferential EquationThird OrderDelayArticle