On the number of zeros of nonoscillatory solutions to half-linear ordinary differential equations involving a parameter

DOI10.1090/S0002-9947-02-03079-9zbMath1023.34031OpenAlexW1796698180MaRDI QIDQ3151252

Manabu Naito, Kusano Takaŝi

Publication date: 7 October 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03079-9

zbMATH Keywords

half-linear differential equationszeros of nonoscillatory solutions

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items

A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line, Unnamed Item, Eigenvalues of the \(p\)-Laplacian and disconjugacy criteria, Integral condition for oscillation of half-linear differential equations with damping, An inequality for eigenvalues of quasilinear problems with monotonic weights

Cites Work

• Oscillation and non-oscillation theorems for a class of second order quasilinear differential equations
• On some analogs of Sturm's and Kneser's theorems for nonlinear systems
• Strong oscillation and nonoscillation of quasilinear differential equations of second order
• Sturm-Liouville eigenvalue problems for half-linear ordinary differential equations
• Nonoscillation theorems for a class of quasilinear differential equations of second order
• Transversal heteroclinic orbits in general degenerate cases
• Oscillation Criteria for Second-Order Linear Differential Equations
• Sturmian comparison theorem for half-linear second-order differential equations
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item