Existence of convergent solutions to quasi-linear systems and asymptotic equivalence

DOI10.1016/0022-0396(73)90006-5zbMath0245.34029OpenAlexW2066008082MaRDI QIDQ2555202

G. J. Michaelides, Athanassios G. Kartsatos

Publication date: 1973

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90006-5

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (8)

Asymptotic behavior of Caratheodory systems: Anti-Lyapunov method ⋮ Linear boundary value problems for systems of ordinary differential equations on noncompact intervals. II: Stability and bounded perturbations ⋮ Weighted convergent and bounded solutions of difference systems ⋮ Stability via Tychonov's theorem ⋮ Convergent solutions of functional difference equations ⋮ On convergence of the solutions of a functional differential equation ⋮ On a nonlinear differential-integral equation for ecological problems ⋮ Weighted convergent and bounded solutions of vdterra difference systems with infinite delay

Cites Work

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• Sur l'existence des solutions convergentes des systèmes d'équations différentielles non linéaires
• On the relationship between a nonlinear system and its nonlinear perturbation
• Convergence in perturbed nonlinear systems
• The Asymptotic Manifolds of a Perturbed Linear System of Differential Equations
• On Asymptotic Behavior of Perturbed Nonlinear Systems
• On the Perturbability of the Asymptotic Manifold of a Perturbed System of Differential Equations

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