Results 61 to 70 of about 45,401 (204)
Oscillation of Neutral Differential Equations with Damping Terms
Mathematics, 2023 Our interest in this paper is to study and develop oscillation conditions for solutions of a class of neutral differential equations with damping terms. New oscillation criteria were obtained by using Riccati transforms. The criteria we obtained improved
Ioannis Dassios +3 more
doaj +1 more source
The Existence of Positive Solutions to Neutral Differential Equations
Journal of Mathematical Analysis and Applications, 1999 From authors' abstract: We consider a class of neutral differential equations of the form \[ \Biggl[x(t)- {r(t)\over r(t-\tau)} x(t- \tau)\Biggr]'+ Q(t) x(t-\sigma)= 0,\quad t\geq t_0,\tag{\(*\)} \] with \(\tau\in (0,\infty)\), \(\sigma\in [0,\infty)\), \(Q(t)\in C([t_0, \infty),\mathbb{R}^+)\), \(r(t)\in C([t_0, \infty),(0, \infty))\) with \(r(t ...
Agarwal, Ravi P., Tang, X.H., Wang, Z.C.
openaire +2 more sources
, 2019 In the paper, we study the oscillatory and asymptotic properties of solutions to a class of third-order linear neutral delay differential equations with noncanonical operators. Via the application of comparison principles with associated first and second-
Jozef Džurina +2 more
core +1 more source
Approximate solutions of stochastic differential delay equations with Markovian switching [PDF]
, 2010 Our main aim is to develop the existence theory for the solutions to stochastic differential delay equations with Markovian switching (SDDEwMSs) and to establish the convergence theory for the Euler-Maruyama approximate solutions under the local ...
Li, Xiaoyue +4 more
core +1 more source
Second-order impulsive differential systems with mixed and several delays
Advances in Difference Equations, 2021 In this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations.
Shyam Sundar Santra +4 more
doaj +1 more source
Oscillation of Impulsive Neutral Delay Differential Equations
Journal of Mathematical Analysis and Applications, 2002 Here, effective sufficient conditions for the oscillation of all solutions to an impulsive neutral delay differential equation are established. The authors reveal the fact that the oscillatory properties of all solutions to the impulsive equation may be caused by the impulsive perturbations.
Graef, J. R. +2 more
openaire +3 more sources
Oscillation of Third-Order Differential Equations with Advanced Arguments
, 2023 The main objective of this work was to study some oscillatory and asymptotic properties of a new class of advanced neutral differential equations. Using new relations to link the solution and its corresponding function, we introduced new oscillatory ...
Munirah Aldiaiji +4 more
core +1 more source
A class of Neutral Functional Differential Equations
Journal of Differential Equations, 1972 Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
openaire +2 more sources
Oscillation of mixed neutral functional differential equations with distributed deviating arguments [PDF]
, 2008 In this paper, we shall consider mixed neutral functional differential equations. New results on sufficient conditions for the oscillation behavior of solutions for this functional differential equation are presented.
Dahiya R.S., Candan T.
core +2 more sources
MathematicsThe oscillation and asymptotic behavior of solutions of a general class of damped second-order differential equations with several sub-linear neutral terms is considered.
A. A. El-Gaber +5 more
doaj +1 more source