A model for reversible reaction in a subdiffusive regime
In this study, a model of reversible reaction in subdiffusive regime is set up by incorporating a reversible reaction term to a subdiffusion equation. Some models discussed previously are special case...
In this study, a model of reversible reaction in subdiffusive regime is set up by incorporating a reversible reaction term to a subdiffusion equation. Some models discussed previously are special case...
Complete list of Darboux integrable chains of the form t1x=tx+d(t,t1)
We study differential-difference equation (d/dx)t(n+1,x)=f(t(n,x),t(n+1,x),(d/dx)t(n,x)) with unknown t(n,x) depending on continuous and discrete variables x and n. Equation of such kind is called Dar...
We study differential-difference equation (d/dx)t(n+1,x)=f(t(n,x),t(n+1,x),(d/dx)t(n,x)) with unknown t(n,x) depending on continuous and discrete variables x and n. Equation of such kind is called Dar...
Second-order neutral impulsive stochastic evolution equations with delay
J. Math. Phys. 50, 102709 (2009); doi:10.1063/1.3251332
Published 26 October 2009
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In this paper, we study the second-order neutral stochastic evolution equations with impulsive effect and delay (SNSEEIDs). We establish the existence and uniqueness of mild solutions to SNSEEIDs under non-Lipschitz condition with Lipschitz condition being considered as a special case by the successive approximation. Furthermore, we give the continuous dependence of solutions on the initial data by means of corollary of the Bihari inequality. An application to the stochastic nonlinear wave equation with impulsive effect and delay is given to illustrate the theory.
©2009 American Institute of Physics
| History: | Received 27 July 2009; accepted 25 September 2009; published 26 October 2009 |
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