BARTUŠEK, Miroslav and Zuzana DOŠLÁ. Oscillatory solutions of nonlinear fourth order differential equations with a middle term. Electronic Journal of Qualitative Theory of Differential Equations. Szeged, 2014, vol. 2014, No 55, p. 1-9. ISSN 1417-3875.
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Basic information
Original name Oscillatory solutions of nonlinear fourth order differential equations with a middle term
Authors BARTUŠEK, Miroslav (203 Czech Republic, belonging to the institution) and Zuzana DOŠLÁ (203 Czech Republic, guarantor, belonging to the institution).
Edition Electronic Journal of Qualitative Theory of Differential Equations, Szeged, 2014, 1417-3875.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Hungary
Confidentiality degree is not subject to a state or trade secret
Impact factor Impact factor: 0.817
RIV identification code RIV/00216224:14310/14:00074498
Organization unit Faculty of Science
UT WoS 000347535700001
Keywords (in Czech) Fourth order nonlinear differential equation; oscillatory solution; oscillation
Keywords in English Fourth order nonlinear differential equation; oscillatory solution; oscillation
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 10. 4. 2015 14:37.
Abstract
We study oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator x^{(4)} + x'' and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation.
Links
GAP201/11/0768, research and development projectName: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace
Investor: Czech Science Foundation
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