Results 11 to 20 of about 53 (51)

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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Stepanov-like pseudo almost periodic functions on time scales and applications to dynamic equations with delay

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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On reachability and controllability for a Volterra integro-dynamic system on time scales [PDF]

The paper studies and relates the notions of reachability and controllability for the Volterra integro-dynamic system on time scales. More specifically, we obtain necessary and sufficient conditions for reachability and controllability.
DOS SANTOS, Iguer Luis Domini, TIKARE, Sanket, Santos, Iguer Luis Domini dos [UNESP]   +2 more
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Well-posedness and maximum principles for lattice reaction-diffusion equations

Advances in Nonlinear Analysis, 2017
Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín, Stehlík Petr, Volek Jonáš   +2 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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Some special functions and cylindrical diffusion equation on α-time scale

Demonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu, Tuncer Zehra, Gergün Seçil, Yantir Ahmet   +3 more
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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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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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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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