Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107475" target="_blank" >RIV/00216224:14310/19:00107475 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0096300319304928" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0096300319304928</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2019.06.027" target="_blank" >10.1016/j.amc.2019.06.027</a>
Alternative languages
Result language
angličtina
Original language name
Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations
Original language description
The research and results described in this paper belong to the qualitative theory of differential equations (more precisely, the partial differential equations with the one-dimensional p-Laplacian). Using a method whose core is formed by the Prüfer technique, we identify a borderline case between oscillatory and non-oscillatory equations. Moreover, we are able to decide whether the studied equations are oscillatory or not even in the so-called critical (i.e., the borderline) case. The advantage of our approach is the fact that we obtain new and strong results for linear and half-linear equations (i.e., the equations with the one-dimensional p-Laplacian) at the same time. In addition, we are able to work with equations whose coefficients are non-constant and non-periodic. The novelty of our results is documented by examples and corollaries.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
361
Issue of the periodical within the volume
NOV 15 2019
Country of publishing house
US - UNITED STATES
Number of pages
22
Pages from-to
788-809
UT code for WoS article
000474545500065
EID of the result in the Scopus database
2-s2.0-85067826125