论文信息 - On the asymptotic behavior of solutions of certain second-order differential equations

On the asymptotic behavior of solutions of certain second-order differential equations

Abstract In this paper, the second order non-linear differential equation x ¨ + a ( t ) f ( x , x ˙ ) x ˙ + b ( t ) g ( x ) = p ( t , x , x ˙ ) is considered, and Lyapunov's second method is used to show that uniform boundedness and convergence to zero of all solutions of this equation together with their derivatives of the first order.

Cemil Tunç | Ercan Tunç

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