Oscillation Criteria for nth Order Neutral Functional Differential Equations
نویسندگان
چکیده
منابع مشابه
Oscillation criteria for nth order nonlinear neutral differential equations
In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form
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We consider the nonlinear neutral functional differential equation [r (t)[x(t) + b a p(t, µ)x(τ(t, µ))dµ] (n−1) ] + δ d c q(t, ξ)f (x(σ (t, ξ)))dξ = 0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions. have studied the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivati...
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d Ž . Ž . Ž . Sufficient conditions for the oscillation of the equation x t R t x t r dt Ž . Ž . Ž . Ž . Ž . . Ž . P t x t Q t x t 0, where P, Q, R C t , , R , r 0, , 0 Ž . t Ž . , R , , are obtained where R t H Q u du 1 is allowed to t Ž . Ž . Ž . Ž oscillate and the condition H s P s Q s H P u Q u t s 0 . du ds is not necessary. Some examples are given, which show that the results here are al...
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Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation ( x(t)− px(t− τ ))′′ + q(t)x(σ(t)) = 0.
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This paper is concerned with the oscillation of second-order nonlinear neutral differential equations of the form [ r(t)[(x(t) + p(t)x(σ(t)))′]γ ]′ + f(t, x(τ(t))) = 0, by using a generalized Riccati’s technique and integral averaging technique, we establish new oscillation results which handle some cases not covered by known criteria.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1994
ISSN: 0022-247X
DOI: 10.1006/jmaa.1994.1182