Asymptotic formulae for solutions of half-linear differential equations

0461884 - MÚ 2018 RIV US eng J - Journal Article
Řehák, Pavel
Asymptotic formulae for solutions of half-linear differential equations.
Applied Mathematics and Computation. Roč. 292, January (2017), s. 165-177. ISSN 0096-3003. E-ISSN 1873-5649
Institutional support: RVO:67985840
Keywords : half-linear differential equation * nonoscillatory solution * regular variation
OECD category: Applied mathematics
Impact factor: 2.300, year: 2017
http://www.sciencedirect.com/science/article/pii/S0096300316304581

We establish asymptotic formulae for regularly varying solutions of the half-linear differential equation ..., where r, p are positive continuous functions on ... and ... The results can be understood in several ways: Some open problems posed in the literature are solved. Results for linear differential equations are generalized: some of the observations are new even in the linear case. A refinement on information about behavior of solutions in standard asymptotic classes is provided. A precise description of regularly varying solutions which are known to exist is given. Regular variation of all positive solutions is proved.
Permanent Link: http://hdl.handle.net/11104/0261447