Results 11 to 20 of about 231,371 (258)
The linear difference-differential equation with linear coefficients [PDF]
Transactions of the American Mathematical Society, 1955 v(x) a known function, and a;, a', any numbers (real or complex) such that ainn O and a' l/amn is either nonreal or positive. This equation is a particular case of the general linear equation (see Wright [7]), where the coefficient au,^x+ac4 in (1.1) is replaced by a known function A,,(x), and also of the linear equation with asymptotically constant ...
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Nonoscillatory half-linear difference equations and recessive solutions
Advances in Difference Equations, 2005 Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the ...
Došlá Zuzana +2 more
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Relative Controllability of Linear Difference Equations [PDF]
SIAM Journal on Control and Optimization, 2017 In this paper, we study the relative controllability of linear difference equations with multiple delays in the state by using a suitable formula for the solutions of such systems in terms of their initial conditions, their control inputs, and some matrix-valued coefficients obtained recursively from the matrices defining the system.
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Theory of nth-order linear general quantum difference equations
Advances in Difference Equations, 2018 In this paper, we derive the solutions of homogeneous and non-homogeneous nth-order linear general quantum difference equations based on the general quantum difference operator Dβ $D_{\beta }$ which is defined by Dβf(t)=(f(β(t))−f(t))/(β(t)−t) $D_{\beta }
Nashat Faried +2 more
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Synchronization of Fractional Partial Difference Equations via Linear Methods
Axioms, 2023 Discrete fractional models with reaction-diffusion have gained significance in the scientific field in recent years, not only due to the need for numerical simulation but also due to the stated biological processes.
Ibraheem Abu Falahah +6 more
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Polynomial quasisolutions of linear differential-difference equations [PDF]
Opuscula Mathematica, 2006 The paper discusses a linear differential-difference equation of neutral type with linear coefficients, when at the initial time moment \(t=0\) the value of the desired function \(x(t)\) is known. The authors are not familiar with any results which would
Valery B. Cherepennikov +1 more
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Some remarks on second order linear difference equations
Discrete Dynamics in Nature and Society, 1998 We obtain some further results for comparison theorems and oscillation criteria of second order linear difference equations.
B. G. Zhang, Chuan Jun Tian
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On third-order linear difference equations involving quasi-differences
Advances in Difference Equations, 2006 We study the third-order linear difference equation with quasi-differences and its adjoint equation. The main results of the paper describe relationships between the oscillatory and nonoscillatory solutions of both equations.
Došlá Zuzana, Kobza Aleš
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Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations
Abstract and Applied Analysis, 2011 This paper investigates some initial value problems in discrete fractional calculus. We introduce a linear difference equation of fractional order along with suitable initial conditions of fractional type and prove the existence and uniqueness of the ...
Jan Čermák +2 more
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-Galois Theory of Linear Difference Equations [PDF]
International Mathematics Research Notices, 2014 We develop a Galois theory for systems of linear difference equations with an action of an endomorphism σ. This provides a technique to test whether solutions of such systems satisfy σ-polynomial equations and, if yes, then characterize those. We also show how to apply our work to study isomonodromic difference equations and difference algebraic ...
Ovchinnikov, A., Wibmer, Michael
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