Results 21 to 30 of about 1,965,065 (298)
Conditions for Oscillation of a Neutral Differential Equation [PDF]
International Journal of Differential Equations, 2010 For a neutral differential equation with positive and changeable sign coefficients [x(t)−a(t)x(δ(t))]′ + p(t)F(x(τ(t))) − q(t)G(x(σ(t))) = 0, oscillation criteria are established, where q(t) is not required as nonnegative. Several new results are obtained.
Yan, Weiping, Yan, Jurang
openaire +3 more sources
On the oscillation of neutral differential equations
Journal of Mathematical Analysis and Applications, 1992 Using the method of the Laplace transform it is shown that all solutions of the neutral differential equation \[ {d\over dt}\left[x(t)+\delta\int^{\tau_ 2}_{\tau_ 1}x(t+s)d\mu(s)\right]+\int^{\sigma_ 2}_ {\sigma_ 1}x(t+s)d\eta(s)=0 \] are oscillatory if and only if the characteristic equation \[ \lambda\left[1+\delta\int^{\tau_ 2}_{\tau_ 1}e^{\lambda s}
Philos, C. G., Sficas, Y. G.
openaire +3 more sources
Oscilations of higher-order neutral equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1986 AbstractSufficient conditions are given for the occurrence of various types of asymptotic behaviour in the solution of a class of n th order neutral delay differential equations. The conditions are in the form of certain inequalities amongst the constants involved in the definition of the differential equations, and specify either oscillatory behavior,
Ladas, G., Sficas, Y. G.
openaire +1 more source
Neutral Equations and Associated Semigroups
Journal of Differential Equations, 1995 Semigroup representations of hereditary functional equations are studied. In particular, the results deal with the neutral functional equation \({d\over dt} D_ t x= Lx_ t+ f(t)\), where \(L\in \beta(C([-1, 0], \mathbb{R}^ n))\) and \(D\) denotes Hale's operator.
Tadmor, G., Turi, J.
openaire +2 more sources
Existence results for an impulsive neutral integro-differential equations in Banach spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this manuscript we investigate the existence of mild solution for a abstract impulsive neutral integro-differential equation by using semi-group theory and Krasnoselskii-Schaefer fixed point theorem in different approach.
Usha Venkatesh +2 more
doaj +1 more source
Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation
Journal of Function Spaces, 2023 In this paper, we investigate a class of a third-order neutral-type differential equation with time-varying delays. Some sufficient conditions on the existence of a periodic solution are established for the considered system.
Axiu Shu, Bo Du
doaj +1 more source
Sensitivity to Infinitesimal Delays in Neutral Equations
SIAM Journal on Control and Optimization, 2002 The stability of a steady state solution of a neutral functional differential equation can be sensitive to infinitesimal changes in the delays. This phenomenon is caused by the behavior of the essential spectrum and is determined by the roots of an exponential polynomial. Avellar and Hale [J. Math. Anal. Appl., 73 (1980), pp.
Wim Michiels +3 more
openaire +2 more sources
Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order
, 2023 In this research, we applied three techniques—the comparison technique, the Riccati technique, and the integral averages technique to analyze and establish various conditions and properties associated with the oscillatory behavior of even-order ...
Maryam Al-Kandari
core +1 more source
Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms [PDF]
, 2022 summary:We obtain some new sufficient conditions for the oscillation of the solutions of the second-order quasilinear difference equations with delay and advanced neutral terms.
Selvarangam, Srinivasan +3 more
core +1 more source
Oscillations of First Order Neutral Differential Equations with Positive and Negative Coefficients
مجلة بغداد للعلوم, 2014 Oscillation criterion is investigated for all solutions of the first-order linear neutral differential equations with positive and negative coefficients.
Baghdad Science Journal
doaj +1 more source