Results 31 to 40 of about 530 (65)

Self-adjointness of perturbed bi-Laplacians on infinite graphs

open access: yes, 2020
We give a sufficient condition for the essential self-adjointness of a perturbation of the square of the magnetic Laplacian on an infinite weighted graph. The main result is applicable to graphs whose degree function is not necessarily bounded.
Milatovic, Ognjen
core   +1 more source

Models for some irreducible representations of so(m,C) in discrete Clifford analysis [PDF]

open access: yes, 2016
In this paper we work in the `split' discrete Clifford analysis setting, i.e. the m-dimensional function theory concerning null-functions of the discrete Dirac operator d, defined on the grid Zm, involving both forward and backward differences.
De Ridder, Hilde, Raeymaekers, Tim
core   +2 more sources

The generalized hypergeometric difference equation

open access: yesDemonstratio 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

A General Backwards Calculus of Variations via Duality

open access: yes, 2010
We prove Euler-Lagrange and natural boundary necessary optimality conditions for problems of the calculus of variations which are given by a composition of nabla integrals on an arbitrary time scale.
A.B. Malinowska   +19 more
core   +1 more source

Higher-Order Calculus of Variations on Time Scales

open access: yes, 2007
We prove a version of the Euler-Lagrange equations for certain problems of the calculus of variations on time scales with higher-order delta derivatives.Comment: Corrected minor ...
FM Atici, M Bohner, M Bohner, R Hilscher
core   +2 more sources

Existence of Bistable Waves in a Competitive Recursion System with Ricker Nonlinearity [PDF]

open access: yes, 2013
Using an abstract scheme of monotone semiflows, the existence of bistable traveling wave solutions of a competitive recursion system with Ricker nonlinearity is established. The traveling wave solutions formulate the strong inter-specific actions between
Liu, Jie, Pan, Shuxia
core  

Lax forms of the $q$-Painlev\'e equations

open access: yes, 2008
All $q$-Painlev\'e equations which are obtained from the $q$-analog of the sixth Painlev\'e equation are expressed in a Lax formalism. They are characterized by the data of the associated linear $q$-difference equations. The degeneration pattern from the
Birkhoff G D   +4 more
core   +1 more source

Some Hardy's inequalities on conformable fractional calculus

open access: yesDemonstratio 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   +5 more
doaj   +1 more source

A q-analogue of gl_3 hierarchy and q-Painleve VI

open access: yes, 2006
A q-analogue of the gl_3 Drinfel'd-Sokolov hierarchy is proposed as a reduction of the q-KP hierarchy. Applying a similarity reduction and a q-Laplace transformation to the hierarchy, one can obtain the q-Painleve VI equation proposed by Jimbo and Sakai ...
Conte R Grundland A M Musette M   +8 more
core   +1 more source

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

open access: yesAnalele 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   +1 more
doaj   +1 more source

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