Results 31 to 40 of about 65 (63)

Partial differential equations with piecewise constant delay

International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 485-496, 1991., 1990
The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential equations with piecewise constant argument (EPCA) in partial derivatives.
Joseph Wiener, Lokenath Debnath
wiley   +1 more source

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Advances in Nonlinear Analysis
The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making ...
Biondini Gino, Prinari Barbara, Zhang Zechuan   +2 more
doaj   +1 more source

Nonlinear evolution equations on Banach space

International Journal of Stochastic Analysis, Volume 4, Issue 3, Page 187-202, 1991., 1991
In this paper we consider the questions of existence and uniqueness of solutions of certain semilinear and quasilinear evolution equations on Banach space. We consider both deterministic and stochastic systems. The approach is based on semigroup theory and fixed point theorems.
N. U. Ahmed
wiley   +1 more source

A free boundary model for transport-induced neurite growth

European Journal of Applied Mathematics
We introduce a free boundary model to study the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of the density of antero- and retrograde vesicles in each neurite coupled to ...
Greta Marino, Jan-Frederik Pietschmann, Max Winkler   +2 more
doaj   +1 more source

Well-Posedness of the Cauchy Problem for Inhomogeneous Time-Fractional Pseudo-Differential Equations [PDF]

, 2006
Mathematics Subject Classification: 26A33, 45K05, 35A05, 35S10, 35S15, 33E12In the present paper the Cauchy problem for partial inhomogeneous pseudo-differential equations of fractional order is analyzed. The solvability theorem for the Cauchy problem in
Saydamatov, Erkin
core  

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

Advances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj  

Existence, Uniqueness, And Asymptotic Stability Of Traveling Waves In Nonlocal Evolution Equations

, 1996
. The existence, uniqueness, and global exponential stability of traveling wave solutions of a class of nonlinear and nonlocal evolution equations are established. It is assumed that there are two stable equilibria so that a tr aveling wave is a solution
Chen, Xinfu, Xinfu Chen
core  

The Regularized Layered Medium Equation

, 1992
. The regularized layered medium equation is proposed as a model of voltage distribution in a medium consisting of alternating thin films of conducting and dielectric materials.
L. A. Packer, R. E. Showalter
core  

Глобални резултати за решението на уравнението на шрьодингер с критична маса и нелинейност от конволюционен тип в R^n

, 2010
Георги Венков, Христо Генев - Разглеждаме един клас от L^2 - критични нелинейни уравнения на Шрьодингер в R^(1+n) с конволюционна нелинейност от тип Хартри.
Genev, Hristo, Venkov, George
core  

On Explicit Viscosity Solutions For. . .

, 1997
. We prove that the explicit formula [2] for viscosity solutions of Hamilton -Jacobi equation @u=@t+H(u;r xu) = 0 in (0; +1) \Theta lR n with u(0; x) = oe(x) is still valid while the initial data oe(x) is continuous in lR n (not necessarily Lipschitz
Tran Duc Van, MAI DUC THANH, Rudolf Gorenflo   +2 more
core