Asymptotic formulae for solutions of half-linear differential equations
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Publication:1732831
DOI10.1016/j.amc.2016.07.020zbMath1410.34104OpenAlexW2487181367MaRDI QIDQ1732831
Publication date: 25 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.07.020
Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)
Related Items (11)
An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ Asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations ⋮ On the existence and asymptotic behavior of solutions of half-linear ordinary differential equations ⋮ Existence and asymptotic behavior of nonoscillatory solutions of half-linear ordinary differential equations ⋮ Oscillation and nonoscillation for two-dimensional nonlinear systems of ordinary differential equations ⋮ Unnamed Item ⋮ A Note on Transformations of Independent Variable in Second Order Dynamic Equations ⋮ Nonlinear Poincaré-Perron theorem ⋮ Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, I ⋮ On increasing solutions of half-linear delay differential equations ⋮ Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II
Cites Work
- Asymptotic formulas for non-oscillatory solutions of perturbed half-linear Euler equation
- Nonoscillation theory for second order half-linear differential equations in the framework of regular variation
- Regular variation and differential equations
- De Haan type increasing solutions of half-linear differential equations
- Nonoscillatory half-linear differential equations and generalized Karamata functions
- Integral conditions for nonoscillation of second order nonlinear differential equations
- Solutions of half-linear differential equations in the classes Gamma and Pi.
- Half-linear differential equations: linearization technique and its application
- Π-Regular Variation
- Self-adjoint differential equations and generalized Karamata functions
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