The asymptotical solving of the equation \(y'=A(t)y\) with a 2\(\times 2\) matrix A(t), in the oscillation case

zbMath0579.34024MaRDI QIDQ1067069

Anna Maria Bresquar

Publication date: 1985

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1985__74__175_0

zbMATH Keywords

oscillatory solutionslinear homogeneous systemnumerical bounds of the error

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic theory for ordinary differential equations (34E99)

Related Items (1)

The asymptotical solving of the equation \(y'=A(t)y\), with a 2\(\times 2\) matrix A in the oscillation case. II

Cites Work

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• Asymptotic equivalence and asymptotic behaviour of linear systems
• Sturmian theory for ordinary differential equations
• Sufficient conditions for the stability of solutions of a linear differential system of second order
• Autonomous families of differential systems
• On the asymptotic relationships between solutions of two systems of ordinary differential equations
• On asymptotic behavior of perturbed linear systems
• Linearization and asymptotic behavior
• Error estimation for perturbed systems.
• PROPRIÉTÉS ASYMPTOTIQUES DES SOLUTIONS D'UN SYSTÈME DE DEUX ÉQUATIONS DIFFÉRENTIELLES LINÉAIRES HOMOGÈNES DU PREMIER ORDRE
• The Asymptotic Behavior of a System of Linear Differential Equations
• Linear Variations of Constants

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