Stability results for the functional differential equations associated to water hammer in hydraulics
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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Structure Constants in the $N=1$ Super-Liouville Field Theory [PDF]
The symmetry algebra of $N=1$ Super-Liouville field theory in two dimensions is the infinite dimensional $N=1$ superconformal algebra, which allows one to prove, that correlation functions, containing degenerated fields obey some partial linear ...
Ambjorn +27 more
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Multiple solutions of nonlinear partial functional differential equations and systems
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
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Professor Dan Petrovanu – Mathematician and Man of Culture – Seen through the Eyes of a Former Student [PDF]
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
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
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Nonautonomous partial functional differential equations; existence and regularity
The aim of this work is to establish several results on the existence and regularity of solutions for some nondensely nonautonomous partial functional differential equations with finite delay in a Banach space.
Kpoumiè Moussa El-Khalil +2 more
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Oscillation in neutral partial functional differential equations and inequalities
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
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A Method for Image Decontamination Based on Partial Differential Equation
This paper will introduce the method to apply partial differential equations for the decontamination processing of images. It will establish continuous partial differential mathematical models for image information and use specific solving methods to ...
Hou Junping
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Invariant manifolds of partial functional differential equations
The authors give a proof for the existence and attractivity of center-unstable, center and stable manifolds for general evolutionary processes using the method of graph transforms. They indicate that their results can be applied to a large class of equations generating evolutionary processes that may not be strongly continuous.
Van Minh, Nguyen, Wu, Jianhong
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Perron's theorem for nondensely defined partial functional differential equations
The aim of this work is to establish a Perron type theorem for some nondensely defined partial functional differential equations with infinite delay. More specifically, we show that if the nonlinear delayed part is "small" (in a sense to be made precise ...
Nadia Drisi +2 more
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