Behavior of Solutions of Impulsively Perturbed Non-Halflinear Oscillator Equations
✍ Scribed by John R. Graef; János Karsai
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 148 KB
- Volume
- 244
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
are obtained by investigating respectively the asymptotic behavior of the nonoscillatory solutions and oscillatory solutions of the equation.
In the present paper the question of the practical stability of the solutions of impulsive systems of differential-difference equations with variable impulsive perturbations is discussed. In the investigations piecewise continuous functions are used which are analogues of Lyapunov's functions, and a
The elliptic perturbation method is applied to the study of the periodic solutions of strongly quadratic non-linear oscillators of the form x¨+ c1 x + c2 x 2 = ef(x, x˙), in which the Jacobian elliptic functions are employed. The generalized Van der Pol equation with f(x, x˙) = m0 + m1 x -m2 x 2 is