Results 21 to 30 of about 331,915 (277)
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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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.
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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 +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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Mathematical analysis of a one-dimensional model for an aging fluid
, 2012 We study mathematically a system of partial differential equations arising in the modelling of an aging fluid, a particular class of non Newtonian fluids.
Benoit, David +3 more
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A sequential regularization method for time-dependent incompressible Navier--Stokes equations [PDF]
, 1997 The objective of the paper is to present a method, called sequential regularization method (SRM), for the nonstationary incompressible Navier-Stokes equations from the viewpoint of regularization of differential-algebraic equations (DAEs) , and to ...
Amrouche Chérif +6 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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Dynamics of the Fisher Information Metric [PDF]
, 2004 We present a method to generate probability distributions that correspond to metrics obeying partial differential equations generated by extremizing a functional $J[g^{\mu\nu}(\theta^i)]$, where $g^{\mu\nu}(\theta^i)$ is the Fisher metric.
A. Einstein +13 more
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, 2012 In this article we study a class of stochastic functional differential equations driven by L\'{e}vy processes (in particular, $\alpha$-stable processes), and obtain the existence and uniqueness of Markov solutions in small time intervals.
Zhang, Xicheng
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