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Special cases of critical linear difference equations

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we investigate even-order linear difference equations and their criticality. However, we restrict our attention only to several special cases of the general Sturm–Liouville equation. We wish to investigate on such cases a possible converse
Jan Jekl
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Implicit linear difference equations over a non-Archi-medean ring

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2021
Over any field an implicit linear difference equation one can reduce to the usual explicit one, which has infinitely many solutions ~ one for each initial value.
Anna Goncharuk
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LINEAR DIFFERENCE EQUATIONS WITH TRANSITION POINTS [PDF]

Mathematics of Computation, 2004
Two linearly independent asymptotic solutions are constructed for the second-order linear difference equation y n
Zhen Wang, Roderick Wong
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Combinatorial Recurrences and Linear Difference Equations [PDF]

Electronic Notes in Discrete Mathematics, 2016
Peer ...
Jiménez Jiménez, María José, Encinas Bachiller, Andrés Marcos   +1 more
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Investigation of linear difference equations with random effects

Advances in Difference Equations, 2020
In this study, random linear difference equations obtained by transforming the components of deterministic difference equations to random variables are investigated.
Mehmet Merdan, Şeyma Şişman
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Oscillation criteria for linear difference equations with several variable delays [PDF]

Opuscula Mathematica, 2021
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by ...
Vasileios Benekas, Ábel Garab, Ardak Kashkynbayev, Ioannis P. Stavroulakis   +3 more
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Linear $q$-Difference Equations

Zeitschrift für Analysis und ihre Anwendungen, 2007
We prove that a linear q -difference equation of order n has a fundamental set of n -linearly independent solutions. A
M.H. Abu Risha, M.H. Annaby, Mourad E. H. Ismail, Z.S. Mansour   +3 more
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Delayed linear difference equations: The method of $\mathcal{Z}$-transform

Electronic Journal of Qualitative Theory of Differential Equations, 2020
A system of nonhomogeneous linear difference equations with linear parts given by non-commutative matrices is studied. Representation of its solution is derived by means of newly defined delayed perturbation of discrete matrix exponential using the ...
Nazim Mahmudov
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Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations [PDF]

Mathematica Bohemica
Firstly we study the growth of meromorphic solutions of linear difference equation of the form A_k(z)f(z+c_k)+\cdots+A_1(z)f(z+c_1)+A_0(z)f(z)=F(z), where $A_k(z),\ldots,A_0(z)$ and $F(z)$ are meromorphic functions of finite logarithmic order, $c_i$
Abdelkader Dahmani, Benharrat Belaïdi
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Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations

Advances in Difference Equations, 2018
We represent general solution to a homogeneous linear difference equation of second order in terms of a specially chosen solution to the equation and apply it to get a representation of general solution to the bilinear difference equation in terms of a ...
Stevo Stević
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