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A Finite Element Method for Singularly Perturbed Reaction-diffusion Problems
finite element method singularly perturbed
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2007/12/11
A finite element method is proposed for the singularly perturbed reaction-diffusion problem. An optimal error bound is derived, independent of the perturbation parameter.
Exponential Stability of Traveling Pulse Solutions of a Singularly Perturbed System ofIntegral Differential Equations Arising From Excitatory Neuronal Networks
Integral differential equations traveling pulse solutions exponential stability linear differential operators eigenvalue problems eigenvalue functions
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2007/12/11
We establish the exponential stability of fast travelingpulse solutions to nonlinear singularly perturbed systems ofintegral differential equations arising from neuronal networks. Ithas been proved th...
A CLASS OF NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR NONLINEAR HYPERBOLIC DIFFERENTIAL EQUATION
Nonlocal problem nonlinear hy
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2007/12/10
The nonlocal singularly perturbed problems for the hyperbolic differential equation are considered. Under suitable conditions, using the fixed point theorem, the asymptotic behavior of solution for th...
A CLASS OF SINGULARLY PERTURBED REACTION DIFFUSION INTEGRAL DIFFERENTIAL SYSTEM
Reaction diffusion system sin
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2007/12/10
In this paper a class of singularly perturbed initial boundary value problems for the reaction diffusion integral differential system are considered. Using the iteration method and the differential i...