Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00134182" target="_blank" >RIV/00216224:14310/23:00134182 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00605-023-01835-0" target="_blank" >https://doi.org/10.1007/s00605-023-01835-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00605-023-01835-0" target="_blank" >10.1007/s00605-023-01835-0</a>

Result language
angličtina
Original language name
Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian
Original language description
This paper deals with the nonoscillatory solutions of the nonlinear differential equation (a(t)|x'|(p(t)-2)x')' +b(t)|x|(?-2)x = 0 involving "singular" p(t)-Laplacian. Sufficient conditions are given for the existence of extremal solutions, which do not exist in the conventional cases. In addition, we prove the coexistence of extremal solutions and weakly increasing solutions. Some examples are given to illustrate our results.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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