Results 21 to 30 of about 686 (96)
Fractional parabolic problems with a nonlocal initial condition
Moroccan Journal of Pure and Applied Analysis, 2017 In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B. +2 more
doaj +1 more source
Boundary value problems for the diffusion equation with piecewise continuous time delay
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 187-195, 1997., 1996 A study is made of partial differential equations with piecewise constant arguments. Boundary value problems for three types of equations are discussed delayed; alternately of advanced and retarded type; and most importantly, an equation of neutral type (that is, including the derivative at different values of time t).
Joseph Wiener, Lokenath Debnath
wiley +1 more source
Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result [PDF]
, 2009 We study two equations of Lotka-Volterra type that describe the Darwinian evolution of a population density. In the first model a Laplace term represents the mutations. In the second one we model the mutations by an integral kernel. In both cases, we use
Barles, Guy +2 more
core +7 more sources
A survey of partial differential equations with piecewise continuous arguments
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 209-228, 1995., 1995 Some work is described and new topics are posed on initial and boundary‐value problems for partial differential equations whose arguments have intervals of constancy. These equations are of considerable theoretical and applied interest.
Joseph Wiener, Lokenath Debnath
wiley +1 more source
Advanced Nonlinear Studies, 2021 In this article, we are interested in multi-bump solutions of the singularly perturbed ...
Jin Sangdon
doaj +1 more source
Moderately close Neumann inclusions for the Poisson equation [PDF]
, 2018 open2siWe investigate the behavior of the solution of a mixed problem for the Poisson equation in a domain with two moderately close holes. If ϱ1 and ϱ2 are two positive parameters, we define a perforated domain Ω(ϱ1,ϱ2) by making two small perforations ...
core +1 more source
A parabolic differential equation with unbounded piecewise constant delay
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 339-346, 1992., 1991 A partial differential equation with the argument [λt] is studied, where [•] denotes the greatest integer function. The infinite delay t − [λt] leads to difference equations of unbounded order.
Joseph Wiener, Lokenath Debnath
wiley +1 more source
Open Mathematics, 2018 The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting +3 more
doaj +1 more source
Convergence of the complete electromagnetic fluid system to the full compressible magnetohydrodynamic equations [PDF]
, 2015 The full compressible magnetohydrodynamic equations can be derived formally from the complete electromagnetic fluid system in some sense as the dielectric constant tends to zero.
Jiang, Song, Li, Fucai
core +1 more source
Boundary value problems for partial differential equations with piecewise contant delay
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 2, Page 363-379, 1991., 1991 The influence of certain discontinuous delays on the behavior of solutions to some typical equations of mathematical physics is studied.
Joseph Wiener
wiley +1 more source