Results 81 to 90 of about 863 (176)
Oscillation and nonoscillation of second order neutral delay difference equations [PDF]
, 1993 summary:Some new oscillation and nonoscillation criteria for the second order neutral delay difference equation \[ \Delta (c_n\Delta (y_n+p_ny_{n-k}))+q_ny_{n+1-m}^\beta =0,\quad n\ge n_0 \] where $k$, $m$ are positive integers and $\beta $ is a ratio of
Thandapani, E. +2 more
core +1 more source
Qualitative properties of a third-order differential equation with a piecewise constant argument
Electronic Journal of Differential Equations, 2017 We consider a third order differential equation with piecewise constant argument and investigate oscillation, nonoscillation and periodicity properties of its solutions.
Huseyin Bereketoglu +2 more
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On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term
Discrete Dynamics in Nature and Society, 2008 This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established.
Jin-Zhu Zhang +5 more
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Oscillation and global asymptotic stability of a neuronic equation with two delays
Electronic Journal of Qualitative Theory of Differential Equations, 2008 In this paper we study the oscillatory and global asymptotic stability of a single neuron model with two delays and a general activation function. New sufficient conditions for the oscillation and nonoscillation of the model are given.
Hassan A. El-Morshedy, B. M. Elmatary
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Oscillation and nonoscillation of Hill's equation with periodic damping [PDF]
, 2003 We prove new results on the oscillation and nonoscillation of the Hill's equation with periodic damping: y″+p(t)y′+q(t)y=0,t⩾0, where p(t) and q(t) are continuous and periodic.
Kwong, Man Kam, Wong, James S.W.
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Nonoscillation and disconjugacy in the complex domain [PDF]
Transactions of the American Mathematical Society, 1956 where p(z) is a function analytic in a region R of the complex plane. E. Hille [3; 4] was the first to make a systematic study of the distribution of the zeros of solutions of (0.1). His approach consisted of selecting a particular zero z=a of a particular solution w(z) of (0.1), and then constructing a zero-free region about z =a, i.e., a region about
openaire +1 more source
Oscillation and Nonoscillation of Asymptotically Almost Periodic Half-Linear Difference Equations
Abstract and Applied Analysis, 2013 We analyse half-linear difference equations with asymptotically almost periodic coefficients. Using the adapted Riccati transformation, we prove that these equations are conditionally oscillatory.
Michal Veselý, Petr Hasil
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New oscillation criteria for third order nonlinear functional differential equations
Electronic Journal of Qualitative Theory of Differential EquationsThe authors consider the general third order functional differential equation \begin{align*} \left(a_{2}(\nu)\left[\left(a_{1}(\nu)\left(x'(\nu)\right)^{\alpha_{1}}\right)'\right]^{\alpha_{2}}\right)'+q(\nu) x^{\beta}(\tau(\nu))=0,\qquad\nu\geq \nu_{0},
John Graef, Said Grace, Gokula Chhatria
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On oscillation of a food-limited population model with time delay
Abstract and Applied Analysis, 2003 For a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions.
Leonid Berezansky, Elena Braverman
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