University of Ibadan
Abstract: The paper is concerned with the stability and uniform ultimate boundedness for all solutions of a third order nonlinear differential equations (1.1). Sufficient conditions under which all solutions $x(t)$, its first and second derivatives tend to zero as $t\rightarrow \infty$ are given.
Keywords: Third-order differential equations, uniform boundedness, ultimate boundedness, stability of solutions, complete Liapunov function
Classification (MSC2000): 34D20; 34D40
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