Monodromy and Linear Relations with Constant Coefficients
RESOLUTION OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS ON CONSTANT COEFFICIENTS
... solving linear ordinary differential equations systems with constant ...of linear differential equations with constant ...ordinary linear differential equation systems with ...
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Hyers Ulam stability of the linear recurrence with constant coefficients
... HYERS ULAM STABILITY OF THE LINEAR RECURRENCE WITH CONSTANT COEFFICIENTS DORIAN POPA Received 5 November 2004 and in revised form 14 March 2005 Let X be a Banach space over the field R or C, a1, ,ap ?[.] ...
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Section 9.5: Homogeneous Linear Systems with Constant Coefficients
... Definition. Let A be an n × n constant matrix. The eigenvalues of A are those (real or complex) numbers r for which (A − rI)u = 0 has at least one nontrivial solution u. The corresponding nontrivial solutions u ...
A remark on k th order linear functional equations with constant coefficients
... WITH CONSTANT COEFFICIENTS JITKA LAITOCHOV ´A Received 30 January 2006; Accepted 18 May 2006 Abel functional equations are associated to a linear homogeneous functional equation with constant ...
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Representation of solutions of linear discrete systems with constant coefficients and pure delay
... The purpose of this contribution is to develop a method for construction of solutions of linear discrete systems with constant coefficients and with pure delay. Solutions are expressed with the aid of a ...
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The z transform method for the Ulam stability of linear difference equations with constant coefficients
... solving linear differential equations with constant coefficients, because it can turn a differential equation into an algebraic ...solving linear difference equations with constant ...
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PARTICULAR SOLUTION OF LINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS BY INVERSE OPERATORS
... Abstract: This paper adopts the inverse fractional differential operators method for obtaining the explicit particular solution to a linear sequential fractional differential equation (LSFDE), involving Jumarie’s ...
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Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients
... e − As F ( s ) ds . (2) Hence, for computing the solution Y ( t ) to Eq. (1) , e At Z ( t ) should be computed for some vector function Z ( t ) . It is well-known that the computation of e At leads to the eigenvalue ...
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Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients
... of linear neutral delay differential systems with constant coe ffi cients using Lyapunov-Krasovskii type functionals, more general than those reported in the ...
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Construction of the General Solution of Planar Linear Discrete Systems with Constant Coefficients and Weak Delay
... To our best knowledge, weak delay was first defined in 4 for systems of linear delayed differential systems with constant coefficients. Nevertheless, separate particular examples can be found in various books ...
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Explicit general solution of planar linear discrete systems with constant coefficients and weak delays
... of linear differential systems with constant coefficients and weak delays when the initially infinite dimensional space of solutions on the initial interval turns (after several steps) into a finite dimensional ...
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Fuzzy Sumudu Transform for Solving System of Linear Fuzzy Differential Equations with Fuzzy Constant Coefficients
... For centuries, scientists have struggled to model real world phenomenon effectively and precisely. Among several modelling tools, scientists prefer to construct their models based on system of linear differential ...
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Study on variable coefficients singular differential equation via constant coefficients differential equation
... linear differential equation with variable coefficients. In this paper, we first discuss the Green’s function of the third-order linear differential equation with constant coefficients (1.6). By application ...
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Linear differential equations with rational coefficients
... 2) When $w_{j}$ has at most one Stokes ray of order $\lambda_{j}=\lambda(w_{j})$ at $\arg z=0$ or $\pi$ , the form of $h_{w_{j}}(\theta)$ is $h_{w_{j}}(\theta)=|d_{j}|\cos(\arg d_{j}+\lambda_{j}\theta)$ , ...
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Finite Dimensional Approximation of the Monodromy Operator of a Periodic Delay Differential Equation with Piecewise Constant Orthonormal Functions
... Linear Periodic Differential Equations (PDDEs) have been of importance for studying problems of vibration, mechanics, astronomy, electric circuits, biology among others in [1] several examples of delay effects on ...
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On the Partial Differential Equations with Non-Constant Coefficients and Convolution Method
... Adem Kılıçman ∗ and Hassan Eltayeb Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia Abstract. In this study we consider the ...
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Determine the Optimal Solution for Linear Programming with Interval Coefficients
... the linear programming problem, sometimes coefficients in the model cannot be determined precisely so that is usually made in the form of ...indeterminate coefficients transformed into the interval. ...
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Homogenization of semi-linear PDEs with discontinuous effective coefficients
... periodic coefficients, see for example monographs [2, 10, 19] and the references ...from relations with semilinear and/or quasilinear PDEs given by a generalized Feynman-Kac formula, forward-backward SDEs ...
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A note on the reducibility of linear differential equations with quasiperiodic coefficients
... positive constant γ, there exist a subset Ω ⊂ Ω 0 with Meas( Ω 0 \Ω ) = Meas( Ω 0 )(1 − O(γ 1/n 2 )) and a suffi- ciently small constant = (δ 0 , γ) > 0 such that for any ∈ (0, ), system ...
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Apparent Singularities of Linear Difference Equations with Polynomial Coefficients
... If L has a complete lt-desingularization ˜ L then we can extend sequences u i to the right and sequences v i to the left with ˜ L. This will only introduce finitely many primes in denominators (so L is smooth) since ˜ L ...
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