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Stability and boundedness of a kind of third-order delay differential system

Affiliation:	Mathematics Department, Faculty of Science Assiut University 71516 Assiut, Egypt

Abstract:	The paper studies equation (1.1) in two cases: •(i)p ≡ 0, •(ii)p ≠ 0. In Case (i), the asymptotic stability of the solution x = 0 is studied; in Case (ii), the uniform boundedness and uniform ultimate boundedness of all solutions of (1.1) are proved.

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