Detailed Information on Publication Record
2012
On certain asymptotic class of solutions to second order linear q-difference equations
ŘEHÁK, PavelBasic information
Original name
On certain asymptotic class of solutions to second order linear q-difference equations
Authors
ŘEHÁK, Pavel (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Physics A: Mathematical and Theoretical, Velká Británie, IOP Publishing, 2012, 1751-8113
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
není předmětem státního či obchodního tajemství
Impact factor
Impact factor: 1.766
RIV identification code
RIV/00216224:14410/12:00057291
Organization unit
Faculty of Education
UT WoS
000300259500007
Keywords in English
q-difference equation; asymptotic behavior; regular variation; oscillation
Změněno: 22/4/2013 13:28, Dana Nesnídalová
Abstract
V originále
The paper deals with the linear second order $q$-difference equation $y(q^2t)+a(t)y(qt)+b(t)y(t)=0$, $b(t)\ne 0$, considered on $\{q^k:k\in\N_0\}$, $q>1$. The class of functions satisfying the relation $y(qt)/y(t)\sim\omega(t)$ as $t\to\infty$ for some function $\omega$ is introduced and studied. Sufficient and necessary conditions are established for the equation to have solutions in this class. Related results concerning estimates for solutions and (non)oscillation of all solutions are discussed. A comparison with existing results is made and some applications are given.
Links
GAP201/10/1032, research and development project |
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