Oscillation criteria for second order neutral differential equations
نویسندگان
چکیده
منابع مشابه
Oscillation criteria for second order nonlinear neutral differential equations
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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and Applied Analysis 3 where τ t ≤ t, σ t ≤ t, τ ′ t τ0 > 0, 0 ≤ p t ≤ p0 < ∞, and the authors obtained some oscillation criteria for 1.7 . However, there are few results regarding the oscillatory problem of 1.1 when τ t ≥ t and σ t ≥ t. Our aim in this paper is to establish some oscillation criteria for 1.1 under the case when τ t ≥ t and σ t ≥ t. The paper is organized as follows. In Section ...
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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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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2000
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2000.125960