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On a nonlinear problem intervening in relativistic quantum mechanics perturbed by a factor of amortizement
nonlinear hyperbolic problem perturbed amortizement
2010/9/25
In this work, we study the existence and the uniqueness and the regularity of the solution of a problem governed by a nonlinear equation intervening in relativistic quantum mechanics perturbed by an a...
On an elliptic boundary problem governed by a Laplacian operator perturbed by a spectral parameter and affected by a weight function in a plane polygon
Spectral prameter Polygon
2010/9/21
In this work, we study the problem governed by the laplacian operator perturbed by a spectral parameter and affected by a weight function in a polygon. First, the study will be done in a plane sector....
This work studies the construction of observers for a class of finite dimensional systems in which the dynamics are partially unknown. In this work we consider the class of the dynamics with a single ...
On the tolerable perturbed initial states: Discrete systems
Asymptotic stability continuous systems
2010/9/10
Consider the output signal y(i) = Cx(i) of a linear discrete system described by x(i+1) = Ax(i) where x(0) = x0. Given a tolerance index ρ, we say that a perturbation ω is ρ-tolerable if yω(i)−...
Generalized and perturbed elasticity system
Elasticity Perturbed Existence Uniqueness Regularity
2010/9/14
In this work, we study the existence, the uniqueness and the regularity of the solution for some boundary value problems gouverned by perturbed and generalized dynamical Elasticity system.
The generalized and perturbed Lame system
Lam´ e System (Elasticity) Perturbed Existence Uniqueness
2010/9/14
In this work, we study the existence, the uniqueness and the regularity of the solution for some boundary value problems gouverned by a perturbed and generalized Lam´e system operator.
New Perturbed Iterations for a Generalized Class of Strongly Nonlinear Operator Inclusion Problems in Banach Spaces
Generalized $m$-accretive mapping Generalized strongly nonlinear operator inclusion problems Perturbed iterative algorithm with errors Existence Convergence and stability
2008/6/30
The purpose of this paper is to introduce and study a new kind of generalized strongly nonlinear operator inclusion problems involving generalized m-accretive mapping in Banach spaces. By using the re...
Note on the Perturbed Trapezoid Inequality
Grüss inequality Perturbed trapezoid inequality Sharp bounds
2008/6/27
In this paper we utilize a variant of the Grüss inequality to obtain some new perturbed trapezoid inequalities. We improve the error bound of the trapezoid rule in numerical integration in some recent...
A method for obtaining large numbers of perturbed trapezoid inequalities is derived.
Some Inequalities of Perturbed Trapezoid Type
Perturbed trapezoid inequality $n$-times continuously differentiable mapping Absolutely continuous
2008/6/26
A new generalized perturbed trapezoid type inequality is established by Peano kernel approach. Some related results are also given.
The characteristic polynomial of some perturbed tridiagonal k-Toeplitz matrices
characteristic polynomial eigenvalues eigenvectors
2010/9/14
We generalize some recent results on the spectra of tridiagonal matrices, providing explicit expressions for the characteristic polynomial of some perturbed tridiagonal k-Toeplitz matrices. The calcul...
A Finite Element Method for Singularly Perturbed Reaction-diffusion Problems
finite element method singularly perturbed
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
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...
Number and Location of Limit Cycles in a Class of Perturbed Polynomial Systems
polynomial system limit cycles stability bifurcation
2007/12/11
In this paper, we investigate the number, location andstability of limit cycles in a class of perturbed polynomialsystems with $(2n+1)$ or $(2n+2)$-degree by constructing detectionfunction and using q...
Some Results for the Compound Poisson Process That is Perturbed by Diffusion
compound Poisson process diffusion ruin Probability
2007/12/10
In the present paper surplus process perturbed by diffusion are considered. The distributions of the surplus immediately before and at ruin corresponding to the probabilities of ruin caused by oscilla...