Results 1 to 10 of about 53 (51)
Boundary Value Problems, 2011 In this paper, we first present a class of first-order nonlinear impulsive integral boundary value problems on time scales. Then, using the well-known Guo-Krasnoselskii fixed point theorem and Legget-Williams fixed point theorem, some criteria for the ...
Li Yongkun, Shu Jiangye
doaj +1 more source
From Hardy to Rellich inequalities on graphs
Proceedings of the London Mathematical Society, Volume 122, Issue 3, Page 458-477, March 2021., 2021 Abstract We show how to deduce Rellich inequalities from Hardy inequalities on infinite graphs. Specifically, the obtained Rellich inequality gives an upper bound on a function by the Laplacian of the function in terms of weighted norms. These weights involve the Hardy weight and a function which satisfies an eikonal inequality.
Matthias Keller +2 more
wiley +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained.
Wang Chao, Li Zhien, Agarwal Ravi P.
doaj +1 more source
Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales
Open Mathematics, 2020 In this study, we obtain the scalar and matrix exponential functions through a series of quaternion-valued functions on time scales. A sufficient and necessary condition is established to guarantee that the induced matrix is real-valued for the complex ...
Li Zhien, Wang Chao
doaj +1 more source
Existence results for systems of first-order nabla dynamic inclusions on time scales
Arab Journal of Mathematical Sciences, 2019 In this article, we study the existence of solutions to systems of first-order ∇-dynamic inclusions on time scales with terminal or periodic boundary conditions. We employ the method of solution-tube and Kakutani fixed point theorem.
Bouharket Bendouma, Ahmed Hammoudi
doaj +1 more source
A note on statistical convergence on time scale [PDF]
, 2012 In the present paper, we will give some new notions, such as ?-convergence and ?-Cauchy, by using the ?-density and investigate their relations. It is important to say that the results presented in this work generalize some of the results mentioned in ...
N Tan +3 more
core +1 more source
Variational approach to second-order impulsive dynamic equations on time scales [PDF]
, 2013 The aim of this paper is to employ variational techniques and critical point theory to prove some conditions for the existence of solutions to a nonlinear impulsive dynamic equation with homogeneous Dirichlet boundary conditions.
Pernas-Castaño, Tania +3 more
core +1 more source
Nabla inequalities and permanence for a logistic integrodifferential equation on time scales
Open Mathematics, 2017 In this paper, by using the theory of calculus on time scales and some mathematical methods, several nabla dynamic inequalities on time scales are established. As an application, we apply the obtained results to a logistic integrodifferential equation on
Hu Meng, Wang Lili
doaj +1 more source
The SIS-Model on Time Scales [PDF]
, 2016 In this paper, we introduce the epidemic model following the hypothesis of the disease flow Susceptible → Infected → Susceptible, short SIS, on time scales.
Streipert, Sabrina H., Bohner, Martin
core +1 more source
Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales
Demonstratio Mathematica, 2018 We establish theHyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, which include the continuous (step size zero) and the discrete (step size constant and nonzero) dynamic equations as important
Anderson Douglas R., Onitsuka Masakazu
doaj +1 more source