Results 21 to 30 of about 2,884,265 (279)

Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [PDF]

, 2008
The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui, Shen, Yi, Mao, Xuerong, National Natural Science Foundation of China (Funder), EPSRC (U.K.) (Funder)   +4 more
core   +4 more sources

Fuzzy Type RK4 Solutions to Fuzzy Hybrid Retarded Delay Differential Equations

Frontiers in Physics, 2019
This paper constructs the numerical solution of particular type of differential equations called fuzzy hybrid retarded delay-differential equations using the method of Runge-Kutta for fourth order.
Prasantha Bharathi Dhandapani, Dumitru Baleanu, Dumitru Baleanu, Jayakumar Thippan, Vinoth Sivakumar   +4 more
doaj   +1 more source

On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay

Advances in Difference Equations, 2010
The existence and uniqueness of solutions and a representation of solution formulas are studied for the following initial value problem: x˙(t)+∫t0tK(t,s)x(h(s))ds=f(t),  t≥t0,  x∈ℝn, x(t)=
Zdenĕk Šmarda, Josef Diblík, Leonid Berezansky   +2 more
doaj   +2 more sources

Asymptotic behaviours of stochastic differential delay equations [PDF]

, 2005
Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi, Mao, Xuerong, Xuerong Mao, Yi Shen   +3 more
core   +4 more sources

A numerical technique for solving nonlinear singularly perturbed delay differential equations

Mathematical Modelling and Analysis, 2018
This paper presents a numerical technique for solving nonlinear singularly perturbed delay differential equations. Quasilinearization technique is applied to convert the nonlinear singularly perturbed delay differential equation into a sequence of linear
A.S.V. Ravi Kanth, Mohan Kumar P. Murali
doaj   +1 more source

On nonlinear delay differential equations [PDF]

Transactions of the American Mathematical Society, 1994
We examine qualitative behaviour of delay differential equations of the form \[ y ′
openaire   +1 more source

An implicit system of delay differential algebraic equations from hydrodynamics

Electronic Journal of Qualitative Theory of Differential Equations, 2023
Direct spring operated pressure relief valves connected to a constantly charged vessel and a downstream pipe have a complex dynamics. The vessel-valve subsystem is described with an autonomous system of ordinary differential equations, while the presence
Fanni Kádár, Gábor Stépán
doaj   +1 more source

On approximation of the solutions of delay differential equations by using piecewise constant arguments

International Journal of Mathematics and Mathematical Sciences, 1991
By using the Gronwall Bellman inequality we prove some limit relations between the solutions of delay differential equations with continuous arguments and the solutions of some related delay differential equations with piecewise constant arguments(EPCA).
Istevan Györi
doaj   +1 more source

An hybrid initial value method for singularly perturbed delay differential equations with interior layers and weak boundary layer

Ain Shams Engineering Journal, 2018
In this paper, an hybrid initial value method on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equation with discontinuous convection coefficient and source term.
V. Subburayan
doaj   +1 more source

Global Boundedness for a Delay Differential Equation [PDF]

Transactions of the American Mathematical Society, 1986
The inequality ( ∂ t u − Δ u ) ( t , x ) ≤ u ( t , x ) ( 1 − u ( t − τ , x ) )
openaire   +1 more source