Results 31 to 40 of about 221 (56)

Some Hardy's inequalities on conformable fractional calculus

Demonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
AlNemer Ghada, Saker Samir H., Ashry Gehad M., Zakarya Mohammed, Rezk Haytham M., Kenawy Mohammed R.   +5 more
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Avoidance Control on Time Scales

, 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, A. Cabada, A. Cabada, A.F. Filippov, A.N. Kolmogorov, B.R. Barmish, D. F. M. Torres, E. Pawłuszewicz, E.D. Sontag, G. Leitmann, G. Leitmann, G. Leitmann, J.J. DaCunha, M. Bohner, M. Bohner, M. Corless, M. Corless, R. Aggarwal, R.P. Agarwal, Z. Bartosiewicz   +19 more
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Converses of nabla Pachpatte-type dynamic inequalities on arbitrary time scales

Demonstratio Mathematica
Reverse Pachpatte-type inequalities are concave generalizations of the well-known Bennett-Leindler-type inequalities. We establish reverse nabla Pachpatte-type dynamic inequalities taking account of concavity.
Kayar Zeynep, Kaymakçalan Billur
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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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Sturm-Liouville operators on time scales

, 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., Davidson F.A., Erbe L., Gerald Teschl, Guseinov G.S., Guseinov G.S., Huseynov A., Huseynov A., Jonathan Eckhardt, Mingarelli A.B., Sun S., Teschl G., Volkmer H., Zhang C., Šimon Hilscher R.   +14 more
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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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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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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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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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Multiple positive solutions for first-order impulsive integral boundary value problems on time scales

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
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