AnN-Dimensional Extension of the Sturm Separation and Comparison Theory to a Class of Nonselfadjoint Systems

DOI10.1137/0509092zbMath0409.34029OpenAlexW2021084933MaRDI QIDQ4196723

Shair Ahmad, Alan C. Lazer

Publication date: 1978

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0509092

zbMATH Keywords

Eigenvalue ProblemsLinear Boundary Value ProblemsNonselfadjoint Second Order Linear Homogeneous SystemsOscillation Of Solutions

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalue problems for integral equations (45C05) Ordinary differential operators (34L99)

Related Items (19)

On the second eigenvalue and the second eigenfunction of a class of selfadjoint second order linear systems ⋮ Solvability of \(N\)th order linear boundary value problems ⋮ Principal Solutions Revisited ⋮ Sturmian Theory and Disconjugacy of Second Order Systems ⋮ Oscillation Criteria for Second-Order Differential Systems ⋮ Oscillation of Superlinear Matrix Differential Equations ⋮ Nonnegative Solutions of a Quadratic Matrix Equation Arising from Comparison Theorems in Ordinary Differential Equations ⋮ Sturmian theory for a class of nonselfadjoint differential systems ⋮ On nth-order Sturmian theory ⋮ On Sturmian Theory for Second Order Systems ⋮ A positivity result applied to difference equations ⋮ Conjugate points and second order systems ⋮ Sturmian Theorems for Second Order Systems ⋮ Separation theorems for nonselfadjoint differential systems ⋮ Positive Solutions and Extremal Points for Differential Equations ⋮ Comparison Theorems for Second Order Differential Systems ⋮ Sturmian theory for nonselfadjoint systems ⋮ On an extension of Sturm's comparison theorem to a class of nonselfadjoint second-order systems ⋮ On conjugate points for second order systems

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