Stability criteria of the Bendixson type

DOI10.1007/BF02410715zbMath0293.34075MaRDI QIDQ1212177

Theodore Allen Burton

Publication date: 1973

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

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) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

Phase spaces \(C_ g\), \(C_ h\), and g-uniform boundedness of FDE(ID)

Cites Work

• A generalization of Liapunov's direct method
• On the generalized Lienard equation with forcing function
• On the equation \(x +f(x)h(x')x' +g(x) = e(t)\)
• Stability properties of \((r(t)u')'+a(t)f(u)g(u') = 0\)
• Über das Verhalten der Integralkurven einer gewöhnlichen Differentialgleichung erster Ordnung in der Umgebung eines singulären Punktes
• Limit-cycles and rotated vector fields
• On the stability of solutions of differential equations of second order
• The Boundedness of Solutions of the Equation $\ddot x + f( {x,\dot x} ) + g( x ) = 0$
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