Conjugate points and simple zeros for ordinary linear differential equations

DOI10.1090/S0002-9947-1969-0255912-6zbMath0218.34030OpenAlexW1993035545MaRDI QIDQ5622578

Thomas L. Sherman

Publication date: 1970

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-1969-0255912-6

Mathematics Subject Classification ID

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

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Boundary value functions for nonlinear differential equations, A Theorem of Aliev, k-point disconjugacy and disconjugacy for linear differential equations, PROJECTIVE CONVEXITY IN ℙ³ IMPLIES GRASSMANN CONVEXITY, Lower-order branching and conjugate function discontinuities, On the number of connected components in the space of closed nondegenerate curves on 𝑆_{𝑛}, On the zeros of solutions of Nth order linear differential equations, On Young hulls of convex curves in \(\mathbb{R}^{2n}\), The distribution of zeros of extremal solutions of a fourth order differential equation for the \(n\)-th conjugate point, Phase functions and central dispersions in the theory of linear functional equations, Higher order separation and comparison theorems, with applications to solution space problems

Cites Work

• Unrestricted \(n\)-parameter families
• Oscillation criteria for third-order linear differential equations
• Properties of solutions of Nth order linear differential equations
• Properties of solutions of quasi-differential equations
• Disconjugate properties of a system of differential equations