A singular functional‐differential equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 The representation of the Hardy‐Lebesque space by means of the shift operator is used to prove an existence theorem for a singular functional‐differential equation which yields, as a corollary, the well known theory of Frobenius for second order differential equations.
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Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]
, 2013 A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke +2 more
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Convergence rate of numerical solutions to SFDEs with jumps [PDF]
, 2011 In this paper, we are interested in numerical solutions of stochastic functional differential equations with jumps. Under a global Lipschitz condition, we show that the pth-moment convergence of Euler–Maruyama numerical solutions to stochastic functional
Yuan, Chenggui +7 more
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Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations [PDF]
, 2020 It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative ...
Mihály Pituk
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Nontrivial Solutions of Systems of Perturbed Hammerstein Integral Equations with Functional Terms [PDF]
, 2021 We discuss the solvability of a fairly general class of systems of perturbed Hammerstein integral equations with functional terms that depend on several parameters.
Gennaro Infante
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Oscillation of functional differential equations
Mathematical and Computer Modelling, 2005 Some new criteria for the oscillation of functional differential equations of the form, d/dt[1/a(n-1)(t) d/dt q (t) f (x [g (t)]) = 0, dt a._1 (t) Tt -a,,-2 (t) Tt -al(t) dt are presented in this paper. @ 2005 Elsevier Ltd. All rights reserved.
Agarwal, R. P. +3 more
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Measure Neutral Functional Differential Equations as Generalized ODEs [PDF]
, 2019 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FEMAT-Fundacao de Estudos em Ciencias MatematicasCNPq: 309344/2017-4CNPq: 152258/2010-8CNPq: 407952/2016-0CNPq: 141947/2009 ...
Tacuri, P. H. +4 more
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Improved Conditions for Oscillation of Functional Nonlinear Differential Equations [PDF]
, 2020 The aim of this work is to study oscillatory properties of a class of fourth-order delay differential equations. New oscillation criteria are obtained by using generalized Riccati transformations.
Mihai Postolache, Omar Bazighifan
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A Hilbert Space Approach to Fractional Differential Equations [PDF]
, 2022 We study fractional differential equations of Riemann–Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on R, we define fractional operators by means of a functional calculus using the Fourier transform.
Diethelm, Kai +5 more
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Functional differential equations—a reciprocity principle
International Journal of Mathematics and Mathematical Sciences, 1986 The functional differential equations proposed for solution here are mainly ordinary differential equations with fairly general argument deviations. Included among them are equations with involutions and some with reflections of the argument.
Lloyd K. Williams
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