Oscillation and Asymptotic Behaviour of a Higher-Order Nonlinear Neutral-Type Functional Differential Equation with Oscillating Coefficients
Author(s) -
Mustafa Kemal Yıldız,
Emrah Karaman,
Hülya Durur
Publication year - 2011
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2011/158060
Subject(s) - oscillation (cell signaling) , order (exchange) , functional differential equation , mathematics , type (biology) , nonlinear system , bounded function , mathematical analysis , differential equation , mathematical physics , physics , quantum mechanics , ecology , genetics , finance , economics , biology
We will study oscillation of bounded solutions of higher-order nonlinear neutral delay differential equations of the following type: [y(t)+p(t)f(y(τ(t)))](n)+q(t)h(y(σ(t)))=0, t≥t0, t∈R, where p∈C([t0,∞),R), limt→∞p(t)=0, q∈C([t0,∞),R+), τ(t), σ(t)∈C([t0,∞),R), τ(t), σ(t)
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