Singular solutions of nonlinear differential equations with p(t)-Laplacian

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114549" target="_blank" >RIV/00216224:14310/20:00114549 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jde.2020.08.046" target="_blank" >https://doi.org/10.1016/j.jde.2020.08.046</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2020.08.046" target="_blank" >10.1016/j.jde.2020.08.046</a>

Result language
angličtina
Original language name
Singular solutions of nonlinear differential equations with p(t)-Laplacian
Original language description
This paper deals with the singular solutions of the nonlinear differential equation (a(t)|x'|p(t)-2x')'=b(t)|x|q(t)-2x involving p(t)-Laplacian. Sufficient conditions are given for the existence and the nonexistence of singular solutions of the first (second) kind. In addition, we study the existence of proper solutions and the coexistence of proper solutions and singular solutions of the second kind. Finally, 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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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