Interval criteria for oscillation 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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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2003
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)90152-0