Results 11 to 20 of about 1,156 (131)

Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function

open access: yesOpen Mathematics, 2022
In this article, we consider a discrete nonlinear third-order boundary value problem Δ3u(k−1)=λa(k)f(k,u(k)),k∈[1,N−2]Z,Δ2u(η)=αΔu(N−1),Δu(0)=−βu(0),u(N)=0,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{l}{\Delta }^{3}u\left(k-1)=\lambda a\left(k)f ...
Li Huijuan   +2 more
doaj   +1 more source

Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [PDF]

open access: yes, 2005
The Lemma on the Logarithmic Derivative of a meromorphic function has many applications in the study of meromorphic functions and ordinary differential equations.
Halburd, R. G., Korhonen, R. J.
core   +3 more sources

Integral Inequalities and their Applications to the Calculus of Variations on Time Scales [PDF]

open access: yes, 2010
We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.Comment: To appear in Mathematical Inequalities & Applications (http://mia.ele-math.com).
Bohner, Martin J.   +2 more
core   +2 more sources

Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts

open access: yesOpen Mathematics, 2019
In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
doaj   +1 more source

Some results on fractional Hahn difference boundary value problems

open access: yesDemonstratio Mathematica, 2023
Fractional Hahn boundary value problems are significant tools to describe mathematical and physical phenomena depending on non-differentiable functions.
Baheeg Elsaddam A.   +2 more
doaj   +1 more source

Oscillatory Properties of Solutions of the Fourth Order Difference Equations with Quasidifferences [PDF]

open access: yes, 2014
A class of fourth--order neutral type difference equations with quasidifferences and deviating arguments is considered. Our approach is based on studying the considered equation as a system of a four--dimensional difference system.
Jankowski, Robert   +2 more
core   +2 more sources

Estimates for the norms of solutions of difference systems with several delays

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 27, Page 1447-1453, 2004., 2004
We derive explicit stability conditions for time‐dependent difference equations with several delays in Cn (the set of n complex vectors) and estimates for the size of the solutions. The growth rates obtained here are not necessarily decay rates.
Rigoberto Medina
wiley   +1 more source

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

open access: yesOpen Mathematics, 2016
In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
doaj   +1 more source

A CA Hybrid of the Slow-to-Start and the Optimal Velocity Models and its Flow-Density Relation [PDF]

open access: yes, 2015
The s2s-OVCA is a cellular automaton (CA) hybrid of the optimal velocity (OV) model and the slow-to-start (s2s) model, which is introduced in the framework of the ultradiscretization method.
Ujino, Hideaki, Yajima, Tetsu
core   +2 more sources

Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004
We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
wiley   +1 more source

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