Analytical and numerical investigation of mixed-type functional differential equations [PDF]
, 2009 NOTICE: this is the author’s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J. +3 more
core +1 more source
Oscillation of even order linear functional differential equations with mixed deviating arguments [PDF]
Opuscula Mathematica, 2022 In the paper, we study oscillation and asymptotic properties for even order linear functional differential equations \[y^{(n)}(t)=p(t)y(\tau(t))\] with mixed deviating arguments, i.e.
Blanka Baculikova
doaj +1 more source
On the Asymptotic Equivalence of Ordinary and Functional Stochastic Differential Equations
Journal of Optimization, Differential Equations and Their Applications, 2023 This paper studies the asymptotic behavior of solutions of linear stochastic functional-differential equations. This behavior is investigated using the method of asymptotic equivalence, according to which an ordinary system of linear differential ...
Olexandr M. Stanzhytskyi +2 more
doaj +1 more source
Mixed-type functional differential equations: A numerical approach [PDF]
, 2007 This is a PDF version of a preprint submitted to Elsevier. The definitive version was published in Journal of Computational and Applied Mathematics and is available at www.elsevier.comThis preprint discusses mixed-type functional ...
Ford, Neville J., Lumb, Patricia M.
core +1 more source
Oscillation Criteria for Advanced Half-Linear Differential Equations of Second Order
Mathematics, 2023 In this paper, we find new oscillation criteria for second-order advanced functional half-linear differential equations. Our results extend and improve recent criteria for the same equations established previously by several authors and cover the ...
Taher S. Hassan +2 more
doaj +1 more source
The periodic problem for the second order integro-differential equations with distributed deviation [PDF]
Mathematica Bohemica, 2021 We study the question of the unique solvability of the periodic type problem for the second order linear integro-differential equation with distributed argument deviation u"(t)=p_0(t)u(t)+\int_0^{\omega}p(t,s)u(\tau(t,s)) {\rm d}s+ q(t), and ...
Sulkhan Mukhigulashvili +1 more
doaj +1 more source
On the Uniform Stability of a Perturbed Linear Functional Differential Equation [PDF]
Proceedings of the American Mathematical Society, 1968 The objective of this note is to extend to perturbed linear functional differential equations previous results [4] concerning the uniform stability of a perturbed linear ordinary differential system. This is done in the Theorem and the Corollary stated below.
openaire +2 more sources
An Optimal Control Problem by a Hybrid System of Hyperbolic and Ordinary Differential Equations
Games, 2021 This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are
Alexander Arguchintsev +1 more
doaj +1 more source
, 2011 By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke +5 more
core +1 more source
Instability for a class of second order delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 There exists a well-developed stability theory for all classes of functional-differential equations and only few results on instability. The aim of this paper is partially reduce this gap.
Leonid Berezansky +1 more
doaj +1 more source