Characteristic equation for autonomous planar half-linear differential systems
DOI10.1007/s10474-017-0722-6zbMath1389.34165OpenAlexW2614830031WikidataQ115384312 ScholiaQ115384312MaRDI QIDQ1677603
Masakazu Onitsuka, Satoshi Tanaka
Publication date: 10 November 2017
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-017-0722-6
eigenvalueasymptotic behaviorcharacteristic equationgeneralized Prüfer transformationhalf-linear system
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Oscillation constants for second-order ordinary differential equations related to elliptic equations with \(p\)-Laplacian
- Half-linear ODE and modified Riccati equation: comparison theorems, integral characterization of principal solution
- Rectifiable oscillations in second-order half-linear differential equations
- Multiple-angle formulas of generalized trigonometric functions with two parameters
- Global attractivity for half-linear differential systems with periodic coefficients
- Nonprincipal solutions of 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
- Some oscillation theorems for a class of quasilinear elliptic equations
- Sturm-Liouville eigenvalue problems for half-linear ordinary differential equations
- Uniform asymptotic stability implies exponential stability for nonautonomous half-linear differential systems
- Half-linear equations and characteristic properties of the principal solution
- De Haan type increasing solutions of half-linear differential equations
- Oscillation and non-oscillation of Euler type half-linear differential equations
- Nonoscillatory half-linear differential equations and generalized Karamata functions
- An identity for a quasilinear ODE and its applications to the uniqueness of solutions of BVPs
- Solutions of half-linear differential equations in the classes Gamma and Pi.
- Uniform global asymptotic stability for half-linear differential systems with time-varying coefficients
- Asymptotic behavior of solutions of nonautonomous half-linear differential systems
This page was built for publication: Characteristic equation for autonomous planar half-linear differential systems
