Results 11 to 20 of about 319 (72)
Some new dynamic Inequality on time scales in three variables [PDF]
arXiv, 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.
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On uniqueness of the Laplace transform on time scales [PDF]
arXiv, 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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Sturm-Liouville operators on time scales [PDF]
J. Difference Equ. Appl. 18, 1875-1887 (2012), 2011 We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize several results for Sturm-Liouville equations on time scales which have ...
Atkinson F. +14 more
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Transversality Conditions for Infinite Horizon Variational Problems on Time Scales [PDF]
Optim. Lett. 5 (2011), no. 1, 41--53, 2010 We consider problems of the calculus of variations on unbounded time scales. We prove the validity of the Euler-Lagrange equation on time scales for infinite horizon problems, and a new transversality condition.Comment: Submitted 6-October-2009; Accepted
A.B. Malinowska +29 more
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Backward Linear Control Systems on Time Scales [PDF]
Internat. J. Control 83 (2010), no. 8, 1573--1580, 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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Avoidance Control on Time Scales [PDF]
J. Optim. Theory Appl. 145 (2010), no. 3, 527-542, 2009 We consider dynamic systems on time scales under the control of two agents. One of the agents desires to keep the state of the system out of a given set regardless of the other agent's actions.
A. Bressan +19 more
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Young's integral inequality with upper and lower bounds [PDF]
arXiv, 2010 Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this new ...
Anderson, Douglas R. +2 more
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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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Corrigendum: fenichel theory for multiple time scale singular perturbation problems [PDF]
, 2020 1821223122
Cardin, Pedro Toniol +1 more
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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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