Sturm-Liouville eigenvalue problems for half-linear ordinary differential equations

DOI10.1216/rmjm/1020171678zbMath1006.34025OpenAlexW1975040794MaRDI QIDQ1596564

Manabu Naito, Takasi Kusano

Publication date: 17 February 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL31-3/CONT31-3/CONT31-3.html

zbMATH Keywords

half-linear differential equationSturm-Liouville eigenvalue problemgeneralized Prüfer transformation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (11)

Three positive solutions for one-dimensional image-Laplacian problem with sign-changing weight ⋮ Characteristic equation for autonomous planar half-linear differential systems ⋮ Connected component of positive solutions for one-dimensional \(p\)-Laplacian problem with a singular weight ⋮ Existence and multiplicity of positive solutions for one-dimensional \(p\)-Laplacian problem with sign-changing weight ⋮ Unnamed Item ⋮ Right-indefinite half-linear Sturm-Liouville problems ⋮ Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional \(p\)-Laplacian ⋮ Half-linear eigenvalue problem: limit behavior of the first eigenvalue for shrinking interval ⋮ Weak solutions for a \(p\)-Laplacian impulsive differential equation ⋮ An identity for a quasilinear ODE and its applications to the uniqueness of solutions of BVPs ⋮ On the number of zeros of nonoscillatory solutions to half-linear ordinary differential equations involving a parameter

Cites Work

• Oscillation and non-oscillation theorems for a class of second order quasilinear differential equations
• On the half-linear second order differential equations
• On some analogs of Sturm's and Kneser's theorems for nonlinear systems
• Oscillation and nonoscillation criteria for second order quasilinear differential equations
• Strong oscillation and nonoscillation of quasilinear differential equations of second order
• Nonoscillation theorems for a class of quasilinear differential equations of second order
• Sturmian comparison theorem for half-linear second-order differential equations
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