Results 11 to 20 of about 26,170 (302)

A Characteristic Equation for Non-autonomous Partial Functional Differential Equations

Journal of Differential Equations, 2002
Using the evolution semigroup approach, the authors give a characterization of exponential stability for the nonautonomous partial functional-differential equation \[ \dot{u}(t) = A(t) u(t) + L(t) u_t,\quad t \geq s, \qquad u(t) = \varphi(t-s),\quad s-r \leq t \leq s, \] in terms of a generalized characteristic equation which is formulated on adequate ...
Gühring, Gabriele, Räbiger, Frank, Schnaubelt, Roland   +2 more
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Asymptotic behavior of solutions of a partial functional differential equation

Electronic Journal of Differential Equations, 2000
The asymptotic behavior of solutions of an asymptotically autonomous partial functional differential equation is investigated. The aim of the present paper is to extend our earlier result for ordinary functional differential equations and difference ...
Gyula Farkas
doaj   +1 more source

Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]

, 2007
Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core   +1 more source

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

Memoirs 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  

Oscillation in neutral partial functional differential equations and inequalities

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

IET 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, Cong Lin, Xisheng Zhan, Leibo Liu   +3 more
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A Method for Image Decontamination Based on Partial Differential Equation

MATEC Web of Conferences, 2015
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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Perron's theorem for nondensely defined partial functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2017
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, Brahim Es-sebbar, Khalil Ezzinbi   +2 more
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The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations

, 2020
This article presents a reformulation of the Theory of Functional Connections: a general methodology for functional interpolation that can embed a set of user-specified linear constraints. The reformulation presented in this paper exploits the underlying
Daniele Mortari, Hunter Johnston, Carl Leake   +2 more
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Invariant manifolds of partial functional differential equations

Journal of Differential Equations, 2004
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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