Results 11 to 20 of about 684 (97)

Multidimensional sampling theorems for multivariate discrete transforms

open access: yesAdvances in Difference Equations, 2021
This paper is devoted to the establishment of two-dimensional sampling theorems for discrete transforms, whose kernels arise from second order partial difference equations.
H. A. Hassan
doaj   +1 more source

Criticality theory for Schrödinger operators on graphs

open access: yesJournal of Spectral Theory, 2017
We study Schrödinger operators given by positive quadratic forms on infinite graphs. From there, we develop a criticality theory for Schrödinger operators on general weighted graphs. Mathematics Subject Classification (2010).
M. Keller   +2 more
semanticscholar   +1 more source

Do All Integrable Evolution Equations Have the Painlev\'e Property? [PDF]

open access: yes, 2007
We examine whether the Painleve property is necessary for the integrability of partial differential equations (PDEs). We show that in analogy to what happens in the case of ordinary differential equations (ODEs) there exists a class of PDEs, integrable ...
Grammaticos, Basil   +2 more
core   +1 more source

Nabla Discrete fractional Calculus and Nabla Inequalities [PDF]

open access: yes, 2009
Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders.
Anastassiou, George A.
core   +1 more source

Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

open access: yesOpen Mathematics, 2016
By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation.
Long Yuhua, Zhang Yuanbiao, Shi Haiping
doaj   +1 more source

Existence results for nonlocal boundary value problems of nonlinear fractional q-difference equations

open access: yes, 2012
In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory such as Banach’s contraction principle ...
B. Ahmad, S. Ntouyas, I. Purnaras
semanticscholar   +1 more source

An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems

open access: yesFractional Differential Calculus, 2019
In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
semanticscholar   +1 more source

A New Algorithm for Solving Terminal Value Problems of q‐Difference Equations

open access: yesDiscrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018
We propose a new algorithm for solving the terminal value problems on a q‐difference equations. Through some transformations, the terminal value problems which contain the first‐ and second‐order delta‐derivatives have been changed into the corresponding initial value problems; then with the help of the methods developed by Liu and H.
Yong-Hong Fan   +2 more
wiley   +1 more source

S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems

open access: yesOpen Mathematics, 2020
By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem.
Miao Liangying, Liu Jing, He Zhiqian
doaj   +1 more source

Global attractivity in a genotype selection model

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 9, Page 537-544, 2002., 2002
We obtain a sufficient condition for the global attractivity of the genotype selection model yn+1=yneβn(12−yn−k)/(1−yn+yneβn(12−yn−k)), n ∈ ℕ. Our results improve the results established by Grove et al. (1994) and Kocić and Ladas (1993).
Xiaoping Li
wiley   +1 more source

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