Power comparison theorems for oscillation problems for second order 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%3A00117160" target="_blank" >RIV/00216224:14310/20:00117160 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s10474-020-01034-5" target="_blank" >https://doi.org/10.1007/s10474-020-01034-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10474-020-01034-5" target="_blank" >10.1007/s10474-020-01034-5</a>

Result language
angličtina
Original language name
Power comparison theorems for oscillation problems for second order differential equations with p(t)-Laplacian
Original language description
This paper deals with the nonlinear differential equation (r(t)|x'|p(t)-2x')'+c(t)|x|p(t)-2x=0,(r(t)|x'|<^>{p(t)-2}x')'+c(t) |x|<^>{p(t)-2}x=0, where r(t) > 0 and c(t) are continuous functions, and p(t) > 1 is a smooth function. We establish a comparison theorem for the oscillation problem for this equation with respect to the power p(t). Using our result, we can utilize oscillation criteria given for half-linear differential equations to equations with p(t)-Laplacian.
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
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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