Article ID Journal Published Year Pages File Type
841568 Nonlinear Analysis: Theory, Methods & Applications 2011 9 Pages PDF
Abstract

Sufficient conditions for the exponential stability of the trivial solution of nonlinear differential equations with delay and with linear parts of the form Ax(t)+Bx(t−τ),τ>0Ax(t)+Bx(t−τ),τ>0, where AB=BAAB=BA, are proved. A result on the nonexistence of blowing-up solutions is also proved.

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