On exponential stability of functional differential equations with variable impulse perturbations [PDF]
, 2014 We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov ...
Bonotto, Everaldo de Mello +2 more
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Periodic solutions of measure functional differential equations [PDF]
, 2022 In this article, we study the existence of periodic solutions for measure functional differential equations of the form x(t)=x(0)+∫0tf(s,xs)ds+∫0tg(s,xs)du(s), defined for every t∈R, under suitable assumptions on f,g and u, where the integrals on the ...
Afonso, S. M. [UNESP] +2 more
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Controllability of Second Order Functional Random Differential Equations with Delay [PDF]
, 2022 In this article, we study some existence and controllability results for two classes of second order functional differential equations with delay and random effects. To begin, we employ a random fixed point theorem with a stochastic domain to demonstrate
Abdelkrim Salim +3 more
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Periodic solutions of neutral functional differential equations [PDF]
, 2023 We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R.
Afonso, S. M. [UNESP] +2 more
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Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations [PDF]
, 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
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Numerical solutions of neutral stochastic functional differential equations [PDF]
, 2008 This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke +5 more
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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
, 2011 Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Qi Luo +5 more
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On Fundamental Solution for Autonomous Linear Retarded Functional Differential Equations [PDF]
, 2020 This document focuses attention on the fundamental solution of an autonomous linear retarded functional differential equation (RFDE) along with its supporting cast of actors: kernel matrix, characteristic matrix, resolvent matrix; and the Laplace ...
Clement McCalla
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Functional Differential Equations and Inequalities [PDF]
Proceedings of the National Academy of Sciences, 1936 Let us first try to find the minimum value of the integral ∫02π[f’(x)+mf(x + π)+e(x)]^2dx where f(x) is a uniform function of period 2π which is integrable and such that ∫02π[f(x)]^2dx=1.
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On a Class of Functional Differential Equations with Symmetries [PDF]
Symmetry, 2019 It is shown that a class of symmetric solutions of scalar non-linear functional differential equations can be investigated by using the theory of boundary value problems. We reduce the question to a two-point boundary value problem on a bounded interval and present several conditions ensuring the existence of a unique symmetric solution.
Nataliya Dilna +2 more
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