Sturmian theory for a class of nonselfadjoint differential systems

DOI10.1007/BF01796547zbMath0435.34021OpenAlexW1968865348MaRDI QIDQ1140203

Marvin Keener, Curtis C. Travis

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf01796547

zbMATH Keywords

conjugate pointsfocal pointsSturmian theoryintegral inequalities on a Banach latticenonselfadjoint differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (10)

Riccati integral equations and non-oscillation of self-adjoint linear systems ⋮ Oscillation Criteria for Second-Order Differential Systems ⋮ Oscillation of Superlinear Matrix Differential Equations ⋮ Eigenvalue comparison for fractional boundary value problems with the Caputo derivative ⋮ A positivity result applied to difference equations ⋮ Comparison of eigenvalues for a class of two-point boundary value problems ⋮ Comparison of eigenvalues for Lidstone boundary value problems on a measure chain ⋮ Positive Solutions and Extremal Points for Differential Equations ⋮ Sturmian theory for nonselfadjoint systems ⋮ Comparison of eigenvalues for Sturm-Liouville boundary value problems on a measure chain

Cites Work

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• A nonselfadjoint dynamical system
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• On the solutions of certain linear nonhomogeneous second-order differential equations
• Disconjugacy Criteria for Systems of Self-Adjoint Differential Equations
• Oscillation Criteria for Self-Adjoint Differential Systems
• Non-Oscillation Theorems

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