Perturbations of nonlinear systems of differential equations. III

DOI10.1016/0022-247X(70)90118-6zbMath0206.37802OpenAlexW4206447462MaRDI QIDQ2542809

Aaron Strauss, Fred Brauer

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0022-247x(70)90118-6

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Perturbations of ordinary differential equations (34D10) Growth and boundedness of solutions to ordinary differential equations (34C11)

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Cites Work

• Unnamed Item
• Unnamed Item
• Perturbing uniform asymptotically stable nonlinear systems
• Perturbations of nonlinear systems of differential equations. II
• On the Stability of a Perturbed Nonlinear System
• Perturbations of nonlinear systems of differential equations