Results 1 to 10 of about 19 (19)

On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator

open access: yesAdvances in Nonlinear Analysis, 2021
Apartial discrete Dirichlet boundary value problem involving mean curvature operator is concerned in this paper. Under proper assumptions on the nonlinear term, we obtain some feasible conditions on the existence of multiple solutions by the method of ...
Du Sijia, Zhou Zhan
doaj   +1 more source

Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities

open access: yesOpen Mathematics, 2022
By applying the combination of discrete variational method and approximation, developed in a previous study [J. Kuang, W. Chen, and Z. Guo, Periodic solutions with prescribed minimal period for second-order even Hamiltonian systems, Commun.
Kuang Juhong, Chen Weiyi
doaj   +1 more source

Multiple periodic solutions for discrete boundary value problem involving the mean curvature operator

open access: yesOpen Mathematics, 2022
In this article, by using critical point theory, we prove the existence of multiple TT-periodic solutions for difference equations with the mean curvature operator: −Δ(ϕc(Δu(t−1)))+q(t)u(t)=λf(t,u(t)),t∈Z,-\Delta ({\phi }_{c}\left(\Delta u\left(t-1)))+q ...
Wang Zhenguo, Li Qiuying
doaj   +1 more source

A note on Eulerian numbers and Toeplitz matrices

open access: yesSpecial Matrices, 2020
This note presents a new formula of Eulerian numbers derived from Toeplitz matrices via Riordan array approach.
He Tian-Xiao, Shiue Peter J.-S.
doaj   +1 more source

Hahn Laplace transform and its applications

open access: yesDemonstratio Mathematica, 2023
Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
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

Global structure of sign-changing solutions for discrete Dirichlet problems

open access: yesOpen Mathematics, 2020
Let T>1T\gt 1 be an integer, T≔[1,T]Z={1,2,…,T},Tˆ≔{0,1,…,T+1}{\mathbb{T}}:= {{[}1,T]}_{{\mathbb{Z}}}=\{1,2,\ldots ,T\},\hspace{.0em}\hat{{\mathbb{T}}}:= \{0,1,\ldots ,T+1\}.
Wei Liping, Ma Ruyun
doaj   +1 more source

Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent

open access: yesNonautonomous Dynamical Systems, 2020
We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa   +3 more
doaj   +1 more source

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete p(k)-Laplacian operator

open access: yesOpen Mathematics, 2017
Triple solutions are obtained for a discrete problem involving a nonlinearly perturbed one-dimensional p(k)-Laplacian operator and satisfying Dirichlet boundary conditions.
Khaleghi Moghadam Mohsen   +1 more
doaj   +1 more source

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

open access: yesOpen 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

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