Results 1 to 10 of about 301 (55)

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

Advances 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 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

Hahn Laplace transform and its applications

Demonstratio 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

Demonstratio Mathematica, 2023
Fractional Hahn boundary value problems are significant tools to describe mathematical and physical phenomena depending on non-differentiable functions.
Baheeg Elsaddam A., Oraby Karima M., Akel Mohamed S.   +2 more
doaj   +1 more source

A note on Eulerian numbers and Toeplitz matrices

Special 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

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

Open 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

Global structure of sign-changing solutions for discrete Dirichlet problems

Open 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

Eigenvalues of discrete Sturm-Liouville problems with sign-changing weight and coupled boundary conditions

, 2020
In this paper, we study the eigenvalues of discrete Sturm-Liouville problems with signchanging weight and coupled boundary conditions. The exact number (including multiplicity) of the real eigenvalues is obtained.
Chenggang Gao, Fei Zhang, Maojun Ran
semanticscholar   +1 more source

Ground state and mountain pass solutions for discrete p(⋅)-Laplacian

Boundary Value Problems, 2012
In this paper we study the existence of solutions for discrete p(⋅)-Laplacian equations subjected to a potential type boundary condition. Our approach relies on Szulkin’s critical point theory and enables us to obtain the existence of ground state as ...
C. Bereanu, P. Jebelean, Călin Șerban
semanticscholar   +2 more sources

On the Finiteness of the Number of Eigenvalues of Jacobi Operators below the Essential Spectrum [PDF]

, 2004
We present a new oscillation criterion to determine whether the number of eigenvalues below the essential spectrum of a given Jacobi operator is finite or not.
Luef, Franz, Teschl, Gerald
core   +3 more sources