Exponential estimates for solutions of half-linear differential equations

0446870 - MÚ 2016 RIV HU eng J - Journal Article
Řehák, Pavel
Exponential estimates for solutions of half-linear differential equations.
Acta Mathematica Hungarica. Roč. 147, č. 1 (2015), s. 158-171. ISSN 0236-5294. E-ISSN 1588-2632
Institutional support: RVO:67985840
Keywords : half-linear differential equation * decreasing solution * increasing solution * asymptotic behavior
Subject RIV: BA - General Mathematics
Impact factor: 0.469, year: 2015
http://link.springer.com/article/10.1007%2Fs10474-015-0522-9

This paper is concerned with estimates, unimprovable in a certain sense, for positive solutions to the half-linear differential equation ... , where p is a continuous nonnegative function on ... and .... It is shown that any positive increasing solution y of the equation satisfies ..., with ..., for all t on the complement of a set of finite Lebesgue measure. Under an additional assumption, this estimate holds for all t. Further, a condition is established which guarantees that the equation has exponentially increasing solutions and exponentially decreasing solutions.
Permanent Link: http://hdl.handle.net/11104/0248820