Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62156489%3A43410%2F21%3A43919139" target="_blank" >RIV/62156489:43410/21:43919139 - isvavai.cz</a>
Alternative codes found
RIV/70883521:28140/21:63536299
Result on the web
<a href="https://doi.org/10.3390/math9030235" target="_blank" >https://doi.org/10.3390/math9030235</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math9030235" target="_blank" >10.3390/math9030235</a>

Result language
angličtina
Original language name
Use of the Modified Riccati Technique for Neutral Half-Linear Differential Equations
Original language description
We study the second-order neutral half-linear differential equation and formulate new oscillation criteria for this equation, which are obtained through the use of the modified Riccati technique. In the first statement, the oscillation of the equation is ensured by the divergence of a certain integral. The second one provides the condition of the oscillation in the case where the relevant integral converges, and it can be seen as a Hille-Nehari-type criterion. The use of the results is shown in several examples, in which the Euler-type equation and its perturbations are considered.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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