Reduction principle for partial functional differential equation without compactness
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
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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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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
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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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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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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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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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Dynamics of cell growth: Exponential growth and division after a minimum cell size
In this paper, we consider a mathematical model for cell division using a Pantograph-type nonlocal partial differential equation, accompanied by relevant initial and boundary conditions. This formulation results in a nonlocal singular eigenvalue problem.
M. Mohsin, A.A. Zaidi, B. van Brunt
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On the geometric structure of characteristic vector fields related with nonlinear equations of the Hamilton-Jacobi type [PDF]
The Cartan-Monge geometric approach to the characteristics method for Hamilton-Jacobi type equations and nonlinear partial differential equations of higher orders is analyzed.
Natalia K. Prykarpatska +1 more
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Background. In this paper, solutions of retarded-functional differential equations are investigated for equiboundedness, partial equiboundedness, and partial equiboundedness with partial control of the histories of these solutions.
Kirill S. Lapin, Vladislav A. Aryanov
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