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Oscillation in neutral partial functional differential equations and inequalities

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 1998
We derive some sufficient conditions for certain classes of ordinary differential inequalities of neutral type with distributed delay not to have eventually positive or negative solutions.
X. Fu, Jianhong Wu
doaj   +3 more sources

Critical cases in neutral functional differential equations, arising from hydraulic engineering [PDF]

open access: yesOpuscula 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
doaj   +1 more source

Pseudospectral method for semilinear partial functional differential equations [PDF]

open access: yesOpuscula Mathematica, 2010
We present a convergence result for two spectral methods applied to an initial boundary value problem with functional dependence of Volterra type. Explicit condition of Courant-Friedrichs-Levy type is assumed on time step \(\tau \) and the number \(N ...
Wojciech Czernous
doaj   +1 more source

Method of functional parametrization for solving a semi-periodic initial problem for fourth-order partial differential equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
doaj   +1 more source

Method of lines for parabolic stochastic functional partial differential equations [PDF]

open access: yesOpuscula Mathematica, 2014
We approximate parabolic stochastic functional differential equations substituting the derivatives in the space variable by finite differences. We prove the stability of the method of lines corresponding to a parabolic SPDE driven by Brownian motion.
Maria Ziemlańska
doaj   +1 more source

Stability results for the functional differential equations associated to water hammer in hydraulics

open access: yesElectronic 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
doaj   +1 more source

Multiple solutions of nonlinear partial functional differential equations and systems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
We shall consider weak solutions of initial-boundary value problems for semilinear and nonlinear parabolic differential equations with certain nonlocal terms, further, systems of elliptic functional differential equations.
László Simon
doaj   +1 more source

Reduction principle for partial functional differential equation without compactness

open access: yesElectronic Journal of Differential Equations, 2023
This article establishes a reduction principle for partial functional differential equation without compactness of the semigroup generated by the linear part. Under conditions more general than the compactness of the C0-semigroup generated by the linear
Meryem El Attaouy   +2 more
doaj   +1 more source

Professor Dan Petrovanu – Mathematician and Man of Culture – Seen through the Eyes of a Former Student [PDF]

open access: yesMemoirs of the Scientific Sections of the Romanian Academy, 2023
A discrete recall, 35 years after his too early passing away, on the complex personality of the reputed mathematician and eminescologist, Dan Petrovanu, professor at the Faculty of Mathematics, “Alexandru Ioan Cuza” University of Iași, seen through the ...
Theodor Havârneanu
doaj  

Predictor control for non‐linear systems actuated via counter‐convecting transport PDEs

open access: yesIET Control Theory & Applications, 2021
The authors investigate predictor control for the cascaded system of a non‐linear ordinary differential equation with counter‐convecting transport partial differential equations with propagation velocities dependent on partial differential equations ...
Xiushan Cai   +3 more
doaj   +1 more source

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