Weighted Fractional Neutral Functional Differential Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2018 Summary: In this paper, we consider a weighted neutral functional differential equation of fractional order ...
Abdo, Mohammed S., Panchal, Satish K.
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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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Some New Oscillation Criteria of Even-Order Quasi-Linear Delay Differential Equations with Neutral Term [PDF]
, 2021 The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Qingdao Huang, Qingmin Liu, Rongrong Guo
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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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An Improved Approach to Investigate the Oscillatory Properties of Third-Order Neutral Differential Equations [PDF]
, 2023 In this work, by considering a third-order differential equation with delay-neutral arguments, we investigate the oscillatory behavior of solutions. It is known that the relationships between the solution and its derivatives of different orders, as well ...
Yousef Alnafisah, Osama Moaaz
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Stability results for the functional differential equations associated to water hammer in hydraulics
Electronic Journal of Qualitative Theory of Differential Equations, 2022 There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
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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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Fourth-Order Neutral Differential Equation: A Modified Approach to Optimizing Monotonic Properties [PDF]
, 2023 In this article, we investigate some qualitative properties of solutions to a class of functional differential equations with multi-delay. Using a modified approach, we first derive a number of optimized relations and inequalities that relate the ...
Amany Nabih +4 more
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Delay-dependent exponential stability of neutral stochastic delay systems [PDF]
, 2009 This paper studies stability of neutral stochastic delay systems by linear matrix inequality (LMI) approach. Delay dependent criterion for exponential stability is presented and numerical examples are conducted to verify the effectiveness of the proposed
Mao, X., Huang, L.
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Oscillation Criteria of Higher-order Neutral Differential Equations with Several Deviating Arguments [PDF]
, 2020 This work is concerned with the oscillatory behavior of solutions of even-order neutral differential equations. By using the technique of Riccati transformation and comparison principles with the second-order differential equations, we obtain a new ...
Ioannis Dassios +2 more
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