On Sturmian Theory for Second Order Systems

DOI10.2307/2043354zbMath0517.34026OpenAlexW4237443025MaRDI QIDQ3665465

Shair Ahmad

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2043354

zbMATH Keywords

oscillation of solutionsconjugate pointdisconjugacySturm comparison theoremnonselfadjoint vector equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (6)

Principal Solutions Revisited ⋮ Oscillation of Superlinear Matrix Differential Equations ⋮ Sturmian comparison theory for half‐linear and nonlinear differential equations via Picone identity ⋮ Sturmian theory for nonselfadjoint systems ⋮ On conjugate points for second order systems ⋮ Stability criteria for conjugate points of indefinite second order differential systems

Cites Work

• Conjugate points and second order systems
• Disconjugacy
• On an extension of Sturm's comparison theorem to a class of nonselfadjoint second-order systems
• A new generalization of the Sturm comparison theorem to selfadjoint systems
• Positive solutions and conjugate points for systems of differential equations
• On the Components of Extremal Solutions of Second Order Systems
• AnN-Dimensional Extension of the Sturm Separation and Comparison Theory to a Class of Nonselfadjoint Systems
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