On an extension of Sturm's comparison theorem to a class of nonselfadjoint second-order systems

DOI10.1016/0362-546X(80)90087-5zbMath0454.34031OpenAlexW2065480790MaRDI QIDQ3901828

Shair Ahmad, Alan C. Lazer

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90087-5

zbMATH Keywords

comparison theoremconjugate point

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (7)

On the second eigenvalue and the second eigenfunction of a class of selfadjoint second order linear systems ⋮ Bifurcation problems for second order systems ⋮ On Sturmian Theory for Second Order Systems ⋮ Conjugate points and second order systems ⋮ Comparison Theorems for Second Order Differential Systems ⋮ Unnamed Item ⋮ Sturmian theory for nonselfadjoint systems

Cites Work

• Component properties of second order linear 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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