Results 31 to 40 of about 674 (52)

Darboux and binary Darboux transformations for discrete integrable systems 1. Discrete potential KdV equation

open access: yes, 2013
The Hirota-Miwa equation can be written in `nonlinear' form in two ways: the discrete KP equation and, by using a compatible continuous variable, the discrete potential KP equation.
Nimmo, Jonathan J C   +2 more
core   +1 more source

Factorizations of Rational Matrix Functions with Application to Discrete Isomonodromic Transformations and Difference Painlev\'e Equations

open access: yes, 2013
We study factorizations of rational matrix functions with simple poles on the Riemann sphere. For the quadratic case (two poles) we show, using multiplicative representations of such matrix functions, that a good coordinate system on this space is given ...
Anton Dzhamay   +8 more
core   +1 more source

Existence of positive solutions for non local p-Laplacian thermistor problems on time scales [PDF]

open access: yes, 2007
We make use of the Guo-Krasnoselskii fixed point theorem on cones to prove existence of positive solutions to a non local p-Laplacian boundary value problem on time scales arising in many applications. © 2007 Victoria University.
Ammi, M.R.S., Torres, D.F.M.
core   +1 more source

Asymptotically polynomial solutions of difference equations of neutral type

open access: yes, 2014
Asymptotic properties of solutions of difference equation of the form \[ \Delta^m(x_n+u_nx_{n+k})=a_nf(n,x_{\sigma(n)})+b_n \] are studied. We give sufficient conditions under which all solutions, or all solutions with polynomial growth, or all ...
Migda, Janusz
core   +1 more source

Existence and uniqueness of solutions to systems of delay dynamic equations on time scales

open access: yes, 2010
The purpose of this paper is to establish Picard-Lindel\"{o}f theorem for local uniqueness and existence results for first-order systems of nonlinear delay dynamic equations. In the linear case, we extend our results to global existence and uniqueness of
Karpuz, Basak
core   +1 more source

Dynamical analysis of a discrete-time COVID-19 epidemic model. [PDF]

open access: yesMath Methods Appl Sci, 2022
Qadeer Khan A   +3 more
europepmc   +1 more source

Continuous and discrete modeling of HIV-1 decline on therapy. [PDF]

open access: yesJ Math Biol, 2020
Akın E, Yeni G, Perelson AS.
europepmc   +1 more source

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