Results 81 to 90 of about 2,136 (215)
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
doaj +1 more source
Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term [PDF]
, 2008 2000 Mathematics Subject Classification: 34C10, 34C15.Some new criteria for the oscillation of all solutions of second order differential equations of the form (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0 ...
Elabbasy, E. M., Elhaddad, W. W.
core
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
doaj +1 more source
On stability of cooperative and hereditary systems with a distributed delay
, 2015 We consider a system $\displaystyle \frac{dx}{dt}=r_1(t) G_1(x) \left[ \int_{h_1(t)}^t f_1(y(s))~d_s R_1 (t,s) - x(t) \right], \frac{dy}{dt}=r_2(t) G_2(y) \left[ \int_{h_2(t)}^t f_2(x(s))~d_s R_2 (t,s) - y(t)\right]$ with increasing functions $f_1$ and ...
Berezansky, Leonid, Braverman, Elena
core +1 more source
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
AxiomsIn the current paper, we aim to study the oscillatory behavior of a new class of third-order differential equations. In the present study, we are interested in a better understanding of the relationships between the solutions and their derivatives.
Najiyah Omar +5 more
doaj +1 more source
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
doaj +1 more source
Hybrid motion artifact detection and correction approach for functional near-infrared spectroscopy measurements. [PDF]
J Biomed Opt, 2022 Gao L +7 more
europepmc +1 more source
Nonoscillation in nonlinear difference equations
Computers & Mathematics with Applications, 1994 The authors establish some necessary conditions on the nonoscillation of the nonlinear difference equation \(\Delta \psi (\Delta x_{k - 1}) + a_ k \psi (x_ k) = 0\), \(k = 1,2, \dots\), where \(\psi : \mathbb{R} \to \mathbb{R}\) is defined by \(\psi (s) = | s |^{p - 2} s\) with \(p > 1\) a fixed real number, and \(\{a_ k\}^ \infty_ 1\) is a nonnegative
Li, Horng Jaan, Yeh, Cheh Chih
openaire +1 more source