Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments
نویسندگان
چکیده
منابع مشابه
Oscillation Theorems for Even Order Neutral Equations with Continuous Distributed Deviating Arguments
A class of even order neutral equations with continuous distributed deviating arguments [x(t) + ∫ d c p(t, η)x[r(t, η)]dτ(η)] + ∫ b a q(t, ξ)f(x[g(t, ξ)])dσ(ξ) = 0 is considered and its oscillation theorems are discussed. These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria. Particularly, these criteria extend and unify a number o...
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x T t . A nontrivial solution of Equation (1) is called oscillatory if it has arbitrarily large zeros, otherwise it is said to be nonoscillatory. Equation (1) is said to be oscillatory if all of it’s nontrivial solutions are oscillatory. Recently, Meng and Xu [6] studied Equation (1) and obtained some sufficient conditions for oscillation of the Equation (1), we list the main results of [6] a...
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In this paper, some sufficient conditions for the oscillation of second-order nonlinear neutral functional dynamic equation ( r(t) ( [x(t) + p(t)x[τ(t)]] )γ)∆ + ∫ b a q(t, ξ)x [g(t, ξ)]∆ξ = 0, t ∈ T are established. An example is given to illustrate an application of our results.
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/393892