Results 1 to 10 of about 3,182 (259)
Global existence and boundedness for quasi-variational systems [PDF]
International 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
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Global Boundedness in a Logarithmic Keller–Segel System
Mathematics, 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
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The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations [PDF]
Journal 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
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Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
Discrete 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
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Boundedness and Global Attractivity of a Higher-Order Nonlinear Difference Equation [PDF]
Discrete 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
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Electronic 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
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Вестник 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
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On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces
Қарағанды 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
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Global Existence and Boundedness of Solutions to a Model of Chemotaxis [PDF]
Mathematical Modelling of Natural Phenomena, 2008 Summary: A model of chemotaxis is analyzed that prevents blow-up of solutions. The model consists of a system of nonlinear partial differential equations for the spatial population density of a species and the spatial concentration of a chemoattractant in \(n\)-dimensional space.
Dyson, J, Villella-Bressan, R, Webb, G
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On the boundedness of globally F-split varieties
Mathematische Zeitschrift, 2023 AbstractThis paper proposes the use of F-split and globally F-regular conditions in the pursuit of BAB type results in positive characteristic. The main technical work comes in the form of a detailed study of threefold Mori fibre spaces over positive dimensional bases. As a consequence we prove the main theorem, which reduces birational boundedness for
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