An oscillation theorem for a class of second-order forced neutral delay differential equations with mixed nonlinearities

Autor:	Jichao Zhong, Shuliang Zou, Zigen Ouyang
Rok vydání:	2011
Předmět:	Differential equation Non linearite Oscillation Forced neutral delay differential equation Applied Mathematics Mathematical analysis Nonlinear Delay differential equation Eventually positive solution Nonlinear system Order (group theory) Second-order Mathematical physics Mathematics
Zdroj:	Applied Mathematics Letters. 24:1449-1454
ISSN:	0893-9659
DOI:	10.1016/j.aml.2011.03.030
Popis:	A class of second-order forced neutral delay differential equation with mixed nonlinearities ( r ( t ) | x ′ ( t ) + p x ′ ( t − σ ) | α − 1 ( x ′ ( t ) + p x ′ ( t − σ ) ) ) ′ + q 0 ( t ) | x ( τ 0 ( t ) ) | α − 1 x ( τ 0 ( t ) ) + ∑ i = 1 n q i ( t ) | x ( τ i ( t ) ) | β i − 1 x ( τ i ( t ) ) = e ( t ) sgn ( x ( t ) ) is investigated in this paper. Using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some known oscillation criteria have been extended.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::520b4e6461f9efad542aa81b816d54cb https://doi.org/10.1016/j.aml.2011.03.030 Zobrazit plný text záznamu Full Text from ScienceDirect