Results 1 to 10 of about 64,779 (321)

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

open access: goldJournal 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   +3 more sources

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 for Decorated Sheaves [PDF]

open access: yes, 2004
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.
core   +5 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

On the Boundedness of Globally $F$-split varieties [PDF]

open access: greenMathematische Zeitschrift, 2020
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
openalex   +4 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

Global boundedness of the weak solutions to componentwise coercive parabolic systems [PDF]

open access: hybridNonlinear Differential Equations and Applications NoDEA
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
openalex   +2 more sources

Global Existence and Boundedness of Solutions to a Model of Chemotaxis [PDF]

open access: bronzeMathematical 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.
Janet Dyson   +2 more
openalex   +4 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

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