Results 61 to 70 of about 2,243,156 (179)

Classification of discrete equations linearizable by point transformation on a square lattice

, 2013
We provide a complete set of linearizability conditions for nonlinear partial difference equations de- fined on four points and, using them, we classify all linearizable multilinear partial difference equations defined on four points up to a Mobious ...
Levi, Decio, Scimiterna, Christian
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Stability of generalized Newton difference equations

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
doaj   +1 more source

Almost Automorphic Solutions of Difference Equations

Advances in Difference Equations, 2009
We study discrete almost automorphic functions (sequences) defined on the set of integers with values in a Banach space X. Given a bounded linear operator T defined on X and a discrete almost automorphic function f(n), we give criteria for the existence ...
Daniela Araya, Rodrigo Castro, Carlos Lizama   +2 more
doaj   +1 more source

Analytic theory of difference equations with rational and elliptic coefficients and the Riemann-Hilbert problem

, 2004
A new approach to the analytic theory of difference equations with rational and elliptic coefficients is proposed. It is based on the construction of canonical meromorphic solutions which are analytical along "thick paths".
Krichever, I.
core   +1 more source

Symmetry-preserving discrete schemes for some heat transfer equations

, 2004
Lie group analysis of differential equations is a generally recognized method, which provides invariant solutions, integrability, conservation laws etc.
Ames W F, Ames W F, Budd C, Dorodnitsyn V, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Dorodnitsyn V A, Ibragimov N H, Levi D, M I Bakirova, Maeda S, Olver P J, Ovsiannikov L V, Ovsiannikov L V, Ovsiannikov L V, R V Kozlov, Samarskii A A, Samarskii A A, V A Dorodnitsyn   +21 more
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Closed-Form Solutions of a Nonlinear Rational Second-Order Three-Dimensional System of Difference Equations

Mathematics
In this paper, we investigate the behavior of solutions to a nonlinear system of rational difference equations of order two, defined by xn+1=xnyn−1yn(a+bxnyn−1),yn+1=ynzn−1zn(c+dynzn−1),zn+1=znxn−1xn(e+fznxn−1), where n denotes a nonzero integer; the ...
Messaoud Berkal, Taha Radwan, Mehmet Gümüş, Raafat Abo-Zeid, Karim K. Ahmed   +4 more
doaj   +1 more source

Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations. [PDF]

Comput Intell Neurosci, 2022
Almalki Y, Rahmat G, Ullah A, Shehryar F, Numan M, Ali MU.   +5 more
europepmc   +1 more source

Harmonic scheduling of linear recurrences in digital filter design [PDF]

, 1992
Linear difference equations involving recurrences are fundamental equations that describe many important signal processing applications. For many high sample rate digital filter applications, we need to effectively parallelize the linear difference ...
Dutt, Nikil, Nicolau, Alexandru, Wang, Haigeng   +2 more
core  

Complex adaptive learning cortical neural network systems for solving time-fractional difference equations with bursting and mixed-mode oscillation behaviours. [PDF]

Sci Rep, 2023
Chu YM, Rashid S, Alzahrani T, Alhulayyil H, Alsagri H, Rehman SU.   +5 more
europepmc   +1 more source

Difference Equations in a Multidimensional Space

Mathematical Modelling and Analysis, 2016
One considers a general difference equation in a multidimensional space with continuous coefficients in the space of integrable functions. Necessary and sufficient conditions for a Fredholm property are obtained with a help of the Fourier transform and ...
Alexander V. Vasilyev, Vladimir B. Vasilyev   +1 more
doaj   +1 more source