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Global existence and boundedness for quasi-variational systems [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov ...
Giancarlo Cantarelli
doaj   +3 more sources

Global Boundedness in a Logarithmic Keller–Segel System

open access: yesMathematics, 2023
In this paper, we propose a user-friendly integral inequality to study the coupled parabolic chemotaxis system with singular sensitivity under the Neumann boundary condition.
Jinyang Liu   +4 more
doaj   +2 more sources

The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations [PDF]

open access: yesJournal of Control Science and Engineering, 2016
We consider the existence of global solutions and their moment boundedness for stochastic multipantograph equations. By the idea of Lyapunov function, we impose some polynomial growth conditions on the coefficients of the equation which enables us to ...
Maosheng Tian   +3 more
doaj   +2 more sources

Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation

open access: yesDiscrete Dynamics in Nature and Society, 2021
In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.
Abdul Qadeer Khan, Hamdy El-Metwally
doaj   +3 more sources

Boundedness and Global Attractivity of a Higher-Order Nonlinear Difference Equation [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2010
We investigate the local stability, prime period-two solutions, boundedness, invariant intervals, and global attractivity of all positive solutions of the following difference equation: 𝑦𝑛+1=(𝑟+𝑝𝑦𝑛+𝑦𝑛−𝑘)/(𝑞𝑦𝑛+𝑦𝑛−𝑘), 𝑛∈ℕ0, where the parameters 𝑝,𝑞,𝑟∈(0,∞
Xiu-Mei Jia, Wan-Tong Li
doaj   +2 more sources

Global Boundedness of Weak Solutions to Fractional Nonlocal Equations

open access: yesMathematics
In this paper, we establish the global boundedness of weak solutions to fractional nonlocal equations using the fractional Moser iteration argument and some other ideas.
Zhenjie Li, Lihe Wang, Chunqin Zhou
doaj   +2 more sources

Long time behavior of the solution to a chemotaxis system with nonlinear indirect signal production and logistic source

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2023
This paper is devoted to studying the following quasilinear parabolic-elliptic-elliptic chemotaxis system \begin{equation*} \begin{cases} u_{t}=\nabla\cdot(\varphi(u)\nabla u-\psi(u)\nabla v)+au-bu^{\gamma},\ &\ \ x\in \Omega, \ t>0,\\[2.5mm] 0 ...
Chang-Jian Wang, Ya-Jie Zhu, Xin-Cai Zhu
doaj   +1 more source

ON THE BOUNDEDNESS OF THE RIESZ POTENTIAL AND ITS COMMUTATOR’S IN THE GLOBAL MORREY TYPE SPACES WITH VARIABLE EXPONENTS

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
The paper considers the global Morrey-type spaces GMp(.),θ(.),w(.)(Ω) with variable exponents p(.), θ(.), where Ω ⊂ Rn is an unbounded domain. The questions of boundedness of the Riesz potential and its commutator in these spaces are investigated.
Zh. M. Onerbek
doaj   +1 more source

On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
The article deals with the global Orlia-Morrey spaces GMΦ,ϕ,θ(Rn). We find sufficient conditions on pairs of functions (ϕ, η) and (Φ, Ψ), which ensure the boundedness of the fractional maximal operator Mα from GMΦ,ϕ,θ(Rn) in GMΨ,η,θ(Rn).
N.А. Bokayev, А.А. Khairkulova
doaj   +1 more source

On the global boundedness of Fourier integral operators [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2010
30 ...
CORDERO, Elena   +2 more
openaire   +3 more sources

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