Results 11 to 20 of about 247 (76)
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
Some new dynamic Inequality on time scales in three variables
, 2016 In this paper we obtain the estimates on some dynamic integral inequalities in three variables which can be used to study certain dynamic equations.
Pachpatte, Deepak B.
core +2 more sources
Open Mathematics, 2018 In this paper, we introduce the concept of Sp-pseudo almost periodicity on time scales and present some basic properties of it, including the translation invariance, uniqueness of decomposition, completeness and composition theorem.
Tang Chao-Hong, Li Hong-Xu
doaj +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
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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
Backward Linear Control Systems on Time Scales
, 2010 We show how a linear control systems theory for the backward nabla differential operator on an arbitrary time scale can be obtained via Caputo's duality. More precisely, we consider linear control systems with outputs defined with respect to the backward
Pawluszewicz, Ewa, Torres, Delfim F. M.
core +1 more source
Positive solutions for multi point impulsive boundary value problems on time scales [PDF]
, 2019 In this paper, we consider nonlinear second-order multi-point impulsive boundary value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions by using the Leray-Schauder fixed point theorem,
Yaslan, İsmail
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The contingent epiderivative and the calculus of variations on time scales
, 2010 The calculus of variations on time scales is considered. We propose a new approach to the subject that consists in applying a differentiation tool called the contingent epiderivative.
Girejko, Ewa +2 more
core +1 more source
A General Backwards Calculus of Variations via Duality
, 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
On uniqueness of the Laplace transform on time scales [PDF]
, 2011 After introducing the concept of null functions, we shall present a uniqueness result in the sense of the null functions for the Laplace transform on time scales with arbitrary graininess.
Karpuz, Basak
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