Results 31 to 40 of about 296 (72)

A class of singularly perturbed evolution systems

open access: yesInternational Journal of Stochastic Analysis, Volume 7, Issue 2, Page 179-190, 1994., 1994
In this paper we study a class of evolution equations where the semigroup generators are singularly perturbed by a nonnegative real valued function of time. Sufficient conditions for existence of evolution operators and their compactness are given including continuous dependence on the perturbation. Further, for a coupled system of singularly perturbed
N. U. Ahmed
wiley   +1 more source

Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions

open access: yes, 2008
In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an angular momentum rotational term in which the angular velocity is equal to the isotropic trapping frequency in the space $\Real^3 ...
Chengchun Hao   +4 more
core   +1 more source

Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups [PDF]

open access: yes, 1973
First published in the Bulletin of the American Mathematical Society in Vol.79, 1973, published by the American Mathematical ...
Helgason, S.
core   +1 more source

Impulsive nonlocal nonlinear parabolic differential problems

open access: yesInternational Journal of Stochastic Analysis, Volume 6, Issue 3, Page 247-260, 1993., 1993
The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the
Ludwik Byszewski
wiley   +1 more source

A parabolic differential equation with unbounded piecewise constant delay

open access: yesInternational 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

An existence theorem for differential inclusions on Banach space

open access: yesInternational Journal of Stochastic Analysis, Volume 5, Issue 2, Page 123-129, 1992., 1991
In this paper we consider the question of existence of solutions for a large class of nonlinear differential inclusions on Banach space arising from control theory.
N. U. Ahmed
wiley   +1 more source

Incompressible limit for the compressible viscoelastic fluids in critical space

open access: yesAdvances in Nonlinear Analysis
In this article, we consider the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the compressible viscoelastic fluids in the sense of critical Besov framework. We decouple our compressible system into two
Han Bin, Wu Dan
doaj   +1 more source

Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution? [PDF]

open access: yes, 2013
A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space variable is difficult to obtain ...
Tchuenche, Jean M.
core  

Level set approach for fractional mean curvature flows [PDF]

open access: yes, 2009
This paper is concerned with the study of a geometric flow whose law involves a singular integral operator. This operator is used to define a non-local mean curvature of a set.
Imbert, Cyril
core   +2 more sources

Boundary value problems for partial differential equations with piecewise contant delay

open access: yesInternational 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

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