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Convergence of the solutions for the equation $x^{(i v)} + a x^{(i i i)} + b \ddot{x} + g (\dot{x}) + h (x) = p (t, x, \dot{x}, \ddot{x}, x^{(i i i)})$ .

Afuwape, Anthony Uyi — 1988

International Journal of Mathematics and Mathematical Sciences

Ultimate boundedness of some third order ordinary differential equations

Anthony Uyi Afuwape; Mathew Omonigho Omeike — 2012

Mathematica Bohemica

We prove the ultimate boundedness of solutions of some third order nonlinear ordinary differential equations using the Lyapunov method. The results obtained generalize earlier results of Ezeilo, Tejumola, Reissig, Tunç and others. The Lyapunov function used does not involve the use of signum functions as used by others.

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Convergence of the solutions for the equation x ( i v ) + a x ( i i i ) + b x ¨ + g ( x ˙ ) + h ( x ) = p ( t , x , x ˙ , x ¨ , x ( i i i ) ) .

Ultimate boundedness of some third order ordinary differential equations

Convergence of the solutions for the equation $x^{(i v)} + a x^{(i i i)} + b \ddot{x} + g (\dot{x}) + h (x) = p (t, x, \dot{x}, \ddot{x}, x^{(i i i)})$ .