Results 11 to 20 of about 221 (56)
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
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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
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A nonstandard Volterra integral equation on time scales
Demonstratio Mathematica, 2019 This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
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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.
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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
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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
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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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A unified approach to the calculus of variations on time scales
, 2010 In this work we propose a new and more general approach to the calculus of variations on time scales that allows to obtain, as particular cases, both delta and nabla results. More precisely, we pose the problem of minimizing or maximizing the composition
Girejko, Ewa +2 more
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Wiman’s formula for a second order dynamic equation [PDF]
, 2014 We derive Wiman’s asymptotic formula for the number of generalized zeros of (nontrivial) solutions of a second order dynamic equation on a time scale. The proof is based on the asymptotic representation of solutions via exponential functions on a time ...
Alan Peterson +2 more
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