Results 31 to 40 of about 247 (76)

Halanay type inequalities on time scales with applications

, 2011
This paper aims to introduce Halanay type inequalities on time scales. By means of these inequalities we derive new global stability conditions for nonlinear dynamic equations on time scales. Giving several examples we show that beside generalization and
Adıvar, Murat, Bohner, Elvan Akın
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Qualitative analysis on existence and stability of nonlinear fractional dynamic equations on time scales

Nonlinear Engineering
This study explores the qualitative analysis of Dγh(ζ)=ℒ(ζ,h(ζ),Dγh(ζ)),\begin{array}{r}{{\mathcal{D}}}^{\gamma }{\mathfrak{h}}\left(\zeta )={\mathcal{ {\mathcal L} }}\left(\zeta ,{\mathfrak{h}}\left(\zeta ),{{\mathcal{D}}}^{\gamma }{\mathfrak{h}}\left ...
Nisar Kottakkaran Sooppy, Anusha Chandran, Ravichandran Chokkalingam, Sabarinathan Sriramulu   +3 more
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Transversality Conditions for Infinite Horizon Variational Problems on Time Scales

, 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, A.C. Chiang, Agnieszka B. Malinowska, B. Beavis, C.C. Von Weiszacker, D. Cai, D. Gale, D. Kravvaritis, Delfim F. M. Torres, F. Giannessi, F. Ramsey, F.M. Atici, F.M. Atici, F.M. Atici, I.E. Schochetman, M. Bohner, M. Bohner, M. Bohner, M. Bohner, N. Martins, Natália Martins, P. Michel, P.M. Pardalos, P.S. Dasgupta, R. Almeida, R. Okomura, S. Lang, T. Kamihigashi, W.A. Brock, Z. Bartosiewicz   +29 more
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Time-Fractional Optimal Control of Initial Value Problems on Time Scales

, 2019
We investigate Optimal Control Problems (OCP) for fractional systems involving fractional-time derivatives on time scales. The fractional-time derivatives and integrals are considered, on time scales, in the Riemann--Liouville sense.
A Ahmadkhanlu, A Cabada, AB Malinowska, B Bayour, Benaoumeur Bayour, Benaoumeur Bayour, D Baleanu, D Baleanu, D Idczak, D Mozyrska, E Hernández, EG Bajlekova, ER Nwaeze, G Mophou, GM Bahaa, GM Mophou, GSF Frederico, GSF Frederico, I Podlubny, K Mekhalfi, L Bourdin, M Bohner, M Bohner, MC Caputo, Monika Dryl, Moulay Rchid Sidi Ammi, Moulay Rchid Sidi Ammi, N Benkhettou, N Benkhettou, N Benkhettou, N Benkhettou, N Özdemir, NRO Bastos, NRO Bastos, NRO Bastos, O Lavrova, OP Agrawal, OP Agrawal, R Almeida, RP Agarwal, RP Agarwal, S Abbas, T Abdeljawad, Thabet Abdeljawad   +43 more
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Permanence and almost periodic solution of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales

, 2015
In this paper, we consider the almost periodic dynamics of a multispecies Lotka-Volterra mutualism system with time varying delays on time scales. By establishing some dynamic inequalities on time scales, a permanence result for the model is obtained ...
Li, Yongkun, Wang, Pan
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An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains

Computational and Mathematical Biophysics
In this work, we propose a hybrid impulsive prey-predator-mutualist model on nonuniform time domains. We have investigated the permanence/persistence results for the proposed model using the comparison theorems of impulsive differential equations and ...
Kumar Anil, Malik Muslim
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Weyl almost periodic functions on time scales and their Fourier series

Demonstratio Mathematica
In this paper, firstly, we propose a concept of Weyl almost periodic functions on time scales by trigonometric polynomial approximation, and study some basic properties of Weyl almost periodic functions on time scales.
Li Yongkun, Huang Xiaoli
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Quasi-semigroups of operators on homogeneous time scales

Nonautonomous Dynamical Systems
This article discusses the concept of quasi-semigroups of bounded linear operators within the framework of time scales, encompassing both continuous and discrete cases.
Montenegro Sandra, Moya Ambrosio Tineo, Leiva Hugo   +2 more
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Unifying discrete and continuous Weyl-Titchmarsh theory via a class of linear Hamiltonian systems on Sturmian time scales [PDF]

, 2010
In this study, we are concerned with introducing Weyl-Titchmarsh theory for a class of dynamic linear Hamiltonian nabla systems over a half-line on Sturmian time scales.
Anderson, Douglas R.
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Young's integral inequality with upper and lower bounds

, 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., Noren, Steven, Perreault, Brent   +2 more
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