Oscillation criteria of second order nonlinear 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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In this paper we will establish some oscillation criteria for the second-order nonlinear neutral delay dynamic equation ( r(t) (( y(t)+ p(t)y(t − τ))∆)γ )∆ + f (t, y(t − δ))= 0 on a time scale T; here γ > 0 is a quotient of odd positive integers with r(t) and p(t) real-valued positive functions defined on T. To the best of our knowledge nothing is known regarding the qualitative behavior of the...
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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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Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear ...
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ژورنال
عنوان ژورنال: International Journal of Applied Mathematical Research
سال: 2012
ISSN: 2227-4324
DOI: 10.14419/ijamr.v1i3.128