Results 21 to 30 of about 6,352,898 (223)

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Boundary value problems for partial functional differential equations [PDF]

Pacific Journal of Mathematics, 1980
468 SAMUEL M. RANKIN, III3. A. Granas, The theory of compact vector fields and some of its applications totopology and functional spaces, I. Rozprowy Mat., 30 (1962), 93.4. J. K. Hale, Functional Differential Equations, Springer-Verlag, New York, 1971.5. M. Z. Nashed and J. S. W.
openaire   +2 more sources

Parallel unstructured solvers for linear partial differential equations [PDF]

, 2006
This thesis presents the development of a parallel algorithm to solve symmetric systems of linear equations and the computational implementation of a parallel partial differential equations solver for unstructured meshes.
Becker, Dulcenéia
core   +7 more sources

Oscillation of Solutions of Neutral Partial Functional Differential Equations

Journal of Mathematical Analysis and Applications, 1999
The authors use the generalized Riccati transformation in order to obtain sufficient conditions for an oscillation of the solutions to the following neutral partial differential-functional equations \[ {\partial \over \partial t}\left[p(t) {\partial\over\partial t}\left(u(x,t)+ \sum^\ell_{i=1} \lambda_i(t) u(x,t-\tau_i) \right)\right] = \] \[ =a(t ...
Li, Wei Nian, Cui, Bao Tong
openaire   +1 more source

Dynamics of cell growth: Exponential growth and division after a minimum cell size

Partial Differential Equations in Applied Mathematics
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
doaj   +1 more source

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, Eugeniusz Wachnicki   +1 more
doaj  

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 \(u(x,s)=\phi (x,s)\), \(-T\leq s\leq 0\), \(0\leq x\leq \pi \).
openaire   +2 more sources

Lyapunov - Krasovsky functionals and partial equiboundedness of solutions with partial control of prehistories

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
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
doaj   +1 more source