Perturbation theorems for nonlinear systems of ordinary different equations

DOI10.1016/0022-247X(82)90264-5zbMath0508.34036MaRDI QIDQ1837821

Zhivko S. Athanassov

Publication date: 1982

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorLyapunov functionsgrowth propertiesvariational system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

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Cites Work

• Perturbing uniform asymptotically stable nonlinear systems
• Perturbations of nonlinear systems of differential equations. III
• Asymptotic equivalence of nonlinear systems
• Perturbations of nonlinear systems of differential equations. II
• Integral manifolds for perturbed nonlinear differential equations
• On the Stability of a Perturbed Nonlinear System
• Perturbations in Fully Nonlinear Systems
• On Asymptotic Behavior of Perturbed Nonlinear Systems
• Perturbations in Nonlinear Systems
• The Asymptotic Behavior of a System of Linear Differential Equations
• Perturbations of nonlinear systems of differential equations
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