Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]
Opuscula Mathematica, 2022 This paper starts from several applications described by initial/boundary value problems for \(1D\) (time and one space variable) hyperbolic partial differential equations whose basic properties and stability of equilibria are studied throughout the same
Vladimir Răsvan
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Analysis of stochastic neutral fractional functional differential equations
Boundary Value Problems, 2022 This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani +3 more
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Periodic solutions of neutral functional differential equations
Journal of Differential Equations, 2023 The paper is concerned of the existence of periodic solutions of a neutral functional differential equation (NFDEs). First, assuming that the right hand sind of the equation is locally Perron integrable over \(\mathbb{R}\), the authors exhibit sufficient conditions to obtain the existence of periodic solutions for the NFDEs.
S.M. Afonso, E.M. Bonotto, M.R. da Silva
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Stability Behaviour in Functional Differential Equations of the Neutral Type
Universal Journal of Mathematics and Applications, 2021 In this study, we examine the behavior of solutions of the neutral functional differential equations. Using a suitable real root of the corresponding characteristic equation, the asymptotic behavior of the solutions and the stability of the trivial ...
Ali Fuat Yeniçerioğlu +2 more
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Neutral Backward Stochastic Functional Differential Equations and Their Application [PDF]
, 2013 In this paper we are concerned with a new type of backward equations with anticipation which we call neutral backward stochastic functional differential equations. We obtain the existence and uniqueness and prove a comparison theorem.
Wenning Wei
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Special solutions of neutral functional differential equations
Journal of Inequalities and Applications, 2001 For a system of nonlinear neutral functional differential equations we prove the existence of an -parameter family of "special solutions" which characterize the asymptotic behavior of all solutions at infinity.
Győri István +1 more
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Oscillation results for even-order quasilinear neutral functional differential equations
Electronic Journal of Differential Equations, 2011 In this article, we use the Riccati transformation technique and some inequalities, to establish oscillation theorems for all solutions to even-order quasilinear neutral differential equation $$ Big(ig[ig(x(t)+p(t)x(au(t))ig)^{(n-1)}ig]^gammaBig)' +
Blanka Baculikova +2 more
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Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients [PDF]
Evolution Equations and Control Theory, 2022 In this work we study the long time behavior of nonlinear stochastic functional-differential equations of neutral type in Hilbert spaces with non-Lipschitz nonlinearities.
Andriy Stanzhytsky +2 more
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Neutral functional sequential differential equations with Caputo fractional derivative on time scales [PDF]
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative.
Jamal Eddine Lazreg +3 more
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Measure Neutral Functional Differential Equations as Generalized ODEs
Journal of Dynamics and Differential Equations, 2018 The authors consider integral equations of the form \[ x(t)=x(t_0)+\int_{t_0}^t f(x_s,s)\,\mathrm{d}g(s)+\int_{-r}^0 \mathrm{d}_\theta[\mu(t,\theta)]x(t+\theta)-\int_{-r}^0 \mathrm{d}_\theta[\mu(t_0,\theta)]\varphi(\theta), \] for which they coin the term ``measure neutral functional differential equations''.
M. Federson +3 more
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