Results 1 to 10 of about 64,779 (321)
The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations [PDF]
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 existence and boundedness for quasi-variational systems [PDF]
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 for Decorated Sheaves [PDF]
An important classification problem in Algebraic Geometry deals with pairs $(\E,\phi)$, consisting of a torsion free sheaf $\E$ and a non-trivial homomorphism $\phi\colon (\E^{\otimes a})^{\oplus b}\lra\det(\E)^{\otimes c}\otimes \L$ on a polarized ...
Schmitt, Alexander H. W.
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Global Boundedness in a Logarithmic Keller–Segel System
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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On the Boundedness of Globally $F$-split varieties [PDF]
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
Liam Stigant
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Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
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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Global boundedness of the weak solutions to componentwise coercive parabolic systems [PDF]
Abstract We prove essential boundedness of the weak solutions to the Cauchy–Dirichlet problem for the quasilinear parabolic system $$ {\textbf{u}}_t- \mathrm {div\,}\big ({\textbf{A}}(x,t,{\textbf{u}},D{\textbf{u}})\big )= {\textbf{b}}(x,t,{\textbf{u}},D{\textbf{u}}) $$
Dian K. Palagachev, Lubomira G. Softova
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Global Existence and Boundedness of Solutions to a Model of Chemotaxis [PDF]
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.
Janet Dyson +2 more
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Global Boundedness of Weak Solutions to Fractional Nonlocal Equations
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
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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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