Results 41 to 50 of about 516,723 (184)
RADIATIVE DAMPING AND FUNCTIONAL DIFFERENTIAL EQUATIONS [PDF]
Modern Physics Letters A, 2011 We propose a general technique to solve the classical many-body problem with radiative damping. We modify the short-distance structure of Maxwell electrodynamics. This allows us to avoid runaway solutions as if we had a covariant model of extended particles.
Raju, Suvrat, Raju, C. K.
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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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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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Functional differential equations arising in cell-growth [PDF]
, 2009 Non-local differential equations are notoriously difficult to solve. Cell-growth models for population growth of a cohort structured by size, simultaneously growing and dividing, give rise to a class of non-local eigenvalue problems, whose “principal ...
Begg, R E, Wake, Graeme
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Functional differential equations close to differential equations [PDF]
Bulletin of the American Mathematical Society, 1966 when the lag function r(t) is nearly constant for large /, and has also asked for conditions on the function r under which all solutions approach zero as t—» oo. The purpose of this announcement is to initiate a study of various stability and oscillation problems for equations with perturbed lag functions, and to suggest that a modification of the ...
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On functional differential equations associated to controlled structures with propagation
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The method of integration along the characteristics has turned to be quite fruitful for qualitative analysis of physical and engineering systems described by large classes of partial differential equations of hyperbolic type in the plane (time and one ...
Vladimir Rasvan
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Stochastic Reaction-diffusion Equations Driven by Jump Processes
, 2018 We establish the existence of weak martingale solutions to a class of second order parabolic stochastic partial differential equations. The equations are driven by multiplicative jump type noise, with a non-Lipschitz multiplicative functional.
A Debussche +69 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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Functional Solutions of Stochastic Differential Equations
MathematicsWe present an integration condition ensuring that a stochastic differential equation dXt=μ(t,Xt)dt+σ(t,Xt)dBt, where μ and σ are sufficiently regular, has a solution of the form Xt=Z(t,Bt).
Imme van den Berg
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Uncertainty functional differential equations for finance [PDF]
Surveys in Mathematics and its Applications, 2010 In this paper, we prove a local existence and uniqueness result for uncertain functional differential equation driven by canonical process.
Iuliana Carmen Bărbăcioru
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