2022
Non-oscillation of modified Euler type linear and half-linear differential equations
ŠIŠOLÁKOVÁ, JiřinaBasic information
Original name
Non-oscillation of modified Euler type linear and half-linear differential equations
Authors
ŠIŠOLÁKOVÁ, Jiřina (203 Czech Republic, guarantor, belonging to the institution)
Edition
European Journal of Mathematics, Springer, 2022, 2199-675X
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Switzerland
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 0.600
RIV identification code
RIV/00216224:14310/22:00125705
Organization unit
Faculty of Science
UT WoS
000746798500001
EID Scopus
2-s2.0-85123495388
Keywords in English
Half-linear equation; Linear equation; Non-oscillation; Oscillation theory; Prüfer angle; Riccati equation
Tags
Tags
International impact, Reviewed
Changed: 25/5/2022 10:36, Mgr. Marie Novosadová Šípková, DiS.
Abstract
In the original language
Modified Euler type second order half-linear differential equations are considered and a non-oscillation criterion is derived for them. This criterion is the counterpart of a previously obtained oscillation theorem. Thus, from the main result of this paper, it follows that the studied equations are conditionally oscillatory in a very general case. To prove the non-oscillation criterion, a combination of the Riccati technique and the generalized Prüfer angle is used. Since the criterion is new in many cases (especially, in the linear case), several corollaries are formulated and the novelty is illustrated by an example as well.
Links
| EF19_073/0016943, research and development project |
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