Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients
DOI10.1016/j.amc.2015.10.074zbMath1410.34143OpenAlexW2185272181MaRDI QIDQ668794
Irena Rachůnková, Jana Burkotová, Michael Hubner, Ewa B. Weinmüller
Publication date: 19 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.2015.10.074
non-oscillatory solutionsasymptotic propertiesregular variationKneser solutionssecond order ordinary differential equations
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Asymptotic properties of solutions to ordinary differential equations (34D05) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An asymptotic analysis of positive solutions of generalized Thomas-Fermi differential equations - the sub-half-linear case
- Asymptotic analysis of Emden-Fowler differential equations in the framework of regular variation
- Numerical solution of singular ODE eigenvalue problems in electronic structure computations
- Existence of oscillatory solutions of singular nonlinear differential equations
- A unified approach to singular problems arising in the membrane theory
- Asymptotic behavior of increasing solutions to a system of \(n\) nonlinear differential equations
- On the Kneser problem for two-dimensional differential systems with advanced arguments
- Existence of regularly varying solutions with nonzero indices of half-linear differential equations with retarded arguments
- Bubble-type solutions of nonlinear singular problems
- Homoclinic solutions of singular nonautonomous second-order differential equations
- Regular variation and differential equations
- De Haan type increasing solutions of half-linear differential equations
- Asymptotics of decreasing solutions of coupled \(p\)-Laplacian systems in the framework of regular variation
- On intermediate solutions and the Wronskian for half-linear differential equations
- Efficient numerical solution of the density profile equation in hydrodynamics
- Asymptotic analysis of positive solutions of generalized Emden-Fowler differential equations in the framework of regular variation
- Intermediate solutions of second order quasilinear ordinary differential equations in the framework of regular variation
- On the Kneser-type solutions for two-dimensional linear differential systems with deviating arguments
- From nonlinear PDEs to singular ODEs
- Nonoscillatory half-linear differential equations and generalized Karamata functions
- Integral conditions for nonoscillation of second order nonlinear differential equations
- Extremal solutions to a system of n nonlinear differential equations and regularly varying functions
- Collocation for Singular Boundary Value Problems of Second Order
- Collocation Methods for Singular Boundary Value Problems
This page was built for publication: Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients