Multiple solutions of nonlinear partial functional differential equations and systems
Electronic 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
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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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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
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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 +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 +2 more
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Hypercontractivity for functional stochastic partial differential equations
Electronic Journal of Probability, 2015 17 ...
Bao, Jianhai +2 more
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Dynamics of cell growth: Exponential growth and division after a minimum cell size
Partial Differential Equations in Applied MathematicsIn 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]
Opuscula Mathematica, 2007 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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A Partial Functional Differential Equation
Journal of Mathematical Analysis and Applications, 2001 The author of this interesting paper investigates the partial functional differential equation \[ \partial u(x,t)\partial t =k \partial^2 u(x,t)\partial x^2+ru(x,t-T)[1-u(x,t)], \;\;t\geq 0, \;\;x\in [{}0,\pi ]{} \] under the boundary condition \(u(0,t)=u(\pi ,t)=0\) (\(t>0\)) and \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
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