Results 41 to 50 of about 684 (97)
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
Existence of solutions for discrete fractional boundary value problems with a p-Laplacian operator
, 2012 This paper is concerned with the existence of solutions to a discrete fractional boundary value problem with a p-Laplacian operator. Under certain nonlinear growth conditions of the nonlinearity, the existence result is established by using Schaefer’s ...
W. Lv
semanticscholar +1 more source
Oscillation criteria for second-order nonlinear difference equations of Euler type
Advances in Differential Equations, 2012 The purpose of this paper is to present a pair of an oscillation theorem and a nonoscillation theorem for the second-order nonlinear difference equation Δ2x(n)+1n(n+1)f(x(n))=0, where f(x) is continuous on ℝ and satisfies the signum condition xf(x)>0 if ...
Naoto Yamaoka
semanticscholar +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
, 2010 The fundamental problem of the calculus of variations on time scales concerns the minimization of a delta-integral over all trajectories satisfying given boundary conditions.
Agnieszka B. Malinowska +27 more
core +1 more source
Self-adjointness of perturbed bi-Laplacians on infinite graphs
, 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
New Hilbert dynamic inequalities on time scales
, 2017 In this paper, we prove some new dynamic inequalities of Hilbert type on time scales. From these inequalities, as special cases, we will formulate some special integral and discrete inequalities.
S. Saker +4 more
semanticscholar +1 more source
Higher-Order Calculus of Variations on Time Scales
, 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
Time Scales Delta Iyengar-Type Inequalities
International Journal of Differential Equations, 2019 Here we give the necessary background on delta time scales approach. Then we present general related time scales delta Iyengar type inequalities for all basic norms. We finish with applications to specific time scales like R, Z and qZ, q > 1. AMS Subject
G. Anastassiou
semanticscholar +1 more source
Lax forms of the $q$-Painlev\'e equations
, 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