Oscillation for higher order differential equations with a middle term

BARTUŠEK, Miroslav, Zuzana DOŠLÁ and Mauro MARINI. Oscillation for higher order differential equations with a middle term. Boundary Value Problems. 2014, vol. 2014, FEBRUARY, p. "nestránkováno", 18 pp. ISSN 1687-2762. Available from: https://dx.doi.org/10.1186/1687-2770-2014-48.

Basic information

• Original name: Oscillation for higher order differential equations with a middle term
• Authors: BARTUŠEK, Miroslav (203 Czech Republic, belonging to the institution), Zuzana DOŠLÁ (203 Czech Republic, guarantor, belonging to the institution) and Mauro MARINI (380 Italy).
• Edition: Boundary Value Problems, 2014, 1687-2762.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Switzerland
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 1.047 in 2010
• RIV identification code: RIV/00216224:14310/14:00074238
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1186/1687-2770-2014-48
• UT WoS: 000333609700001
• Keywords in English: Higher order nonlinear differential equation; middle term; oscillation
• Tags: AKR, rivok

Abstract

We study the existence of bounded oscillatory solutions for a higher order differential equation, considered as a perturbation of an associated linear equation. Jointly with this, we study the nonexistence of solutions vanishing at infinity and, as an application, we obtain in the linear case an asymptotic equivalency criterion.

Links

• GAP201/11/0768, research and development project: Name: Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace

Investor: Czech Science Foundation