Results 1 to 10 of about 5,184,143 (243)
Journal of Inequalities and Applications, 2016 In this paper, we consider the global existence and boundedness of solutions for a certain nonlinear integro-differential equation of second order with multiple constant delays.
Cemil Tunç, Timur Ayhan
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On the boundedness of the fractional maximal operator on global Orlicz-Morrey spaces [PDF]
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 for quasi-variational systems
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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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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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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Advances in Nonlinear Analysis, 2022 In this article, we will develop an analytical approach to construct the global bounded weak solutions to the initial-boundary value problem of a three-dimensional chemotaxis-Stokes system with porous medium cell diffusion Δnm\Delta {n}^{m} for m≥6563m ...
Tian Yu, Xiang Zhaoyin
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IEEE Access, 2023 The output tracking problem for a class of nonlinearly parameterized high-order uncertain systems with unmatched disturbances is studied. The developed robust adaptive control scheme is based on the combination of a decoupled backstepping control method ...
Yu-Yao Zhai, Shaohua Yang, Zong-Yao Sun
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Logistic damping effect in chemotaxis models with density-suppressed motility
Advances in Nonlinear Analysis, 2022 This paper is concerned with a parabolic-elliptic chemotaxis model with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain with Neumann boundary conditions.
Lyu Wenbin, Wang Zhi-An
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Partial Differential Equations in Applied Mathematics, 2022 This paper shows the global existence and boundedness of solutions of a reaction diffusion system modeling liver infections. The existence proof is presented step by step and the focus lies on the interpretation of intermediate results in the context of ...
Cordula Reisch, Dirk Langemann
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