DOŠLÁ, Zuzana and Kodai FUJIMOTO. Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian. Monatshefte für Mathematik. Springer, 2023, vol. 201, No 1, p. 65-78. ISSN 0026-9255. Available from: https://dx.doi.org/10.1007/s00605-023-01835-0.
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Basic information
Original name Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian
Authors DOŠLÁ, Zuzana (203 Czech Republic, belonging to the institution) and Kodai FUJIMOTO (guarantor).
Edition Monatshefte für Mathematik, Springer, 2023, 0026-9255.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Austria
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.900 in 2022
RIV identification code RIV/00216224:14310/23:00134182
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1007/s00605-023-01835-0
UT WoS 000957018500001
Keywords in English Asymptotic behavior; Nonoscillatory solutions; Extremal solutions; Weakly increasing solutions; p(t)-Laplacian; Half-linear differential equations
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 9/8/2023 15:43.
Abstract
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.
Links
GA20-11846S, research and development projectName: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace
Investor: Czech Science Foundation
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