Stability and boundedness of solutions of certain Lienard-type non-autonomous differential equations
In this paper, the Liénard-type non-autonomous nonlinear differential equation ẍ+ p(t)f(x, ẋ) ẋ + q(t)g(x) = ϕ(t, x, ẋ) is investigated for uniform exponential asymptotic stability of solutions when ϕ(t, x, ẋ) ≡ 0, and uniform ultimate boundedness of solutions when ϕ(t, x, ẋ) ≠ 0, using the Lyapunov...
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| Veröffentlicht in: | Proyecciones (Antofagasta, Chile) Chile), 2024-06, Vol.43 (4), p.873-882 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, the Liénard-type non-autonomous nonlinear differential equation ẍ+ p(t)f(x, ẋ) ẋ + q(t)g(x) = ϕ(t, x, ẋ) is investigated for uniform exponential asymptotic stability of solutions when ϕ(t, x, ẋ) ≡ 0, and uniform ultimate boundedness of solutions when ϕ(t, x, ẋ) ≠ 0, using the Lyapunov’s direct method |
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| ISSN: | 0717-6279 0717-6279 |
| DOI: | 10.22199/issn.0717-6279-6155 |