Results 31 to 40 of about 319 (72)

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
doaj   +1 more source

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, Malinowska, Agnieszka B., Torres, Delfim F. M.   +2 more
core   +1 more source

Existence results for systems of first-order nabla dynamic inclusions on time scales

Arab Journal of Mathematical Sciences, 2019
In this article, we study the existence of solutions to systems of first-order ∇-dynamic inclusions on time scales with terminal or periodic boundary conditions. We employ the method of solution-tube and Kakutani fixed point theorem.
Bouharket Bendouma, Ahmed Hammoudi
doaj  

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, Malinowska, Agnieszka B., Torres, Delfim F. M.   +2 more
core   +1 more source

Asymptotic properties for Volterra integro-dynamic systems [PDF]

, 2015
Using the resolvent matrix, a comparison principle and a useful equivalent system, we investigate the asymptotic behavior of linear Volterra integro-dynamic systems on time ...
Mirza, Safia, O'Regan, D., Yasmin, Nusrat, Younus, A.   +3 more
core   +2 more sources

Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales [PDF]

arXiv, 2022
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index one on arbitrary time scales. We propose a procedure for the decoupling of the considered class LTVDAE. A projector approach is used to prove the main statement of the paper.
arxiv  

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
doaj   +1 more source

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
core   +1 more source

Some Ostrowski and Cebysev type inequality in three variables on Time Scales [PDF]

arXiv, 2017
The main objective of this paper is to study some Ostrowski and Cebysev type inequalities in three variables on Time ...
arxiv  

Delta-Nabla Optimal Control Problems

, 2010
We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results ...
Agnieszka B Malinowska, Aulbach B., Bohner M., Delfim FM Torres, Ewa Girejko, Girejko E., Malinowska AB, Malinowska AB   +7 more
core   +1 more source