Results 31 to 40 of about 82 (79)

Bounded solutions of self-adjoint second order linear difference equations with periodic coeffients

Open Mathematics, 2018
In this work we obtain easy characterizations for the boundedness of the solutions of the discrete, self–adjoint, second order and linear unidimensional equations with periodic coefficients, including the analysis of the so-called discrete Mathieu ...
Encinas A.M., Jiménez M.J.
doaj   +1 more source

Almost periodic solutions of Volterra difference systems

Demonstratio Mathematica, 2017
We study the existence of an almost periodic solution of discrete Volterra systems by means of fixed point theory. Using discrete variant of exponential dichotomy, we provide sufficient conditions for the existence of an almost periodic solution.
Koyuncuoglu Halis Can, Adıvar Murat
doaj   +1 more source

The generalized hypergeometric difference equation

Demonstratio Mathematica, 2018
A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
Bohner Martin, Cuchta Tom
doaj   +1 more source

Some Hardy's inequalities on conformable fractional calculus

Demonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., Kenawy Mohammed R.   +5 more
doaj   +1 more source

Oscillation and nonoscillation in nonlinear third order difference equations

, 1989
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 281-286, 1990.
B. Smith, W. E. Taylor Jr.
wiley   +1 more source

Existence and uniqueness of positive solution for nonlinear difference equations involving p(k)-Laplacian operator

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we deal with the existence of at least one and of at least two positive solutions as well the uniqueness of a positive solution for an anisotropic discrete non-linear problem involving p(k)-Laplacian with Dirichlet boundary value ...
Moghadam Mohsen Khaleghi, Wieteska Renata   +1 more
doaj   +1 more source

General solutions of weakly delayed discrete systems in 3D

Advances in Nonlinear Analysis
Discrete systems x(k+1)=Ax(k)+Bx(k−m)x\left(k+1)=Ax\left(k)+Bx\left(k-m), k=0,1,…k=0,1,\ldots \hspace{0.33em} are analyzed, where mm is a fixed positive integer, AA, BB are constant 3 by 3 matrices and x:{−m,−m+1,…}→R3x:\left\{-m,-m+1,\ldots \right\}\to {
Diblík Josef, Boháčková Hana, Růžičková Miroslava, Šafařík Jan   +3 more
doaj   +1 more source

On discrete inequalities for some classes of sequences

Open Mathematics
For a given sequence a=(a1,…,an)∈Rna=\left({a}_{1},\ldots ,{a}_{n})\in {{\mathbb{R}}}^{n}, our aim is to obtain an estimate of En≔a1+an2−1n∑i=1nai{E}_{n}:= \left|\hspace{-0.33em},\frac{{a}_{1}+{a}_{n}}{2}-\frac{1}{n}{\sum }_{i=1}^{n}{a}_{i},\hspace{-0 ...
Jleli Mohamed, Samet Bessem
doaj   +1 more source

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

Homoclinic solutions of second-order discrete Hamiltonian systems with subquadratic nonlinearities

Open Mathematics
This paper investigates the second-order discrete Hamiltonian system Δ[P(k)Δu(k−1)]−L(k)u(k)+∇W(k,u(k))=0 ${\Delta}\left[\mathbb{P}\left(k\right){\Delta}u\left(k-1\right)\right]-\mathbb{L}\left(k\right)u\left(k\right)+\nabla \mathbb{W}\left(k,u\left(k ...
Liu Ziqiang, Xiao Ke, Chen Huiwen, Ouyang Zigen   +3 more
doaj   +1 more source