Results 11 to 20 of about 4,429,182 (354)

Global solutions and uniform boundedness of attractive/repulsive LV competition systems [PDF]

Advances in Difference Equations, 2018
In this paper, we study global solutions to the following strongly coupled systems: {ut=∇⋅(D1∇u−χu∇v)+(a1−b1u−c1v)u,x∈Ω,t>0,0=D2Δv+(a2−b2u−c2v)v,x∈Ω,t>0, $$\textstyle\begin{cases} u_{t}=\nabla\cdot(D_{1} \nabla u -\chi u \nabla v)+(a_{1}-b_{1}u-c_{1}v)u,\
Yuanyuan Zhang
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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, Xuejing Meng, Jihong Chen, Xiaoqi Tang   +3 more
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Global Boundedness of Weak Solutions to Fractional Nonlocal Equations [PDF]

Mathematics
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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Global Boundedness and Mass Persistence of Solutions to A Chemotaxis-Competition System with Logistic Source

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
This article examines the population dynamics of solutions such as global existence, global boundedness, and mass persistence, to a parabolic elliptic type of chemotaxis-competition system including logistics kinetics in a smooth bounded domain.
Halil İbrahim Kurt
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Global boundedness in a three-dimensional chemotaxis-haptotaxis model

Computers & Mathematics with Applications, 2019
Abstract This paper studies the chemotaxis–haptotaxis model of cancer invasion u t = Δ u − χ ∇ ⋅ ( u ∇ v ) − ξ ∇ ⋅ ( u ∇ w ) + μ u ( 1 − u − w ) , x ∈ Ω , t > 0 , v t = Δ v − v + u , x ∈ Ω , t > 0 , w t = − v w , x ∈ Ω ...
Dan Li, Chunlai Mu, Hong Yi
semanticscholar   +3 more sources

Global boundedness of the weak solutions to componentwise coercive parabolic systems

Nonlinear 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
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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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Global boundedness of solutions to a parabolic–parabolic chemotaxis system with local sensing in higher dimensions [PDF]

Nonlinearity, 2021
This paper deals with classical solutions to the parabolic–parabolic system ut=Δ(γ(v)u)inΩ×(0,∞),vt=Δv−v+uinΩ×(0,∞),∂u∂ν=∂v∂ν=0on∂Ω×(0,∞),u(⋅,0)=u0,v(⋅,0)=v0inΩ, where Ω is a smooth bounded domain in R n (n ⩾ 3), γ(v) = v −k (k > 0) and the initial data (
Kentarou Fujie, T. Senba
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Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility [PDF]

, 2021
Jie Jiang, Philippe Laurençot
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Global boundedness of solutions in a reaction–diffusion system of predator–prey model with prey-taxis

Applied Mathematics Letters, 2015
Xiao He, Sining Zheng
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