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Global existence and boundedness of solutions of differential equations
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Global boundedness to a chemotaxis–haptotaxis model with nonlinear diffusion
Applied Mathematics Letters, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zuodong Yang
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Global boundedness in a two-species predator–prey chemotaxis model
Applied Mathematics Letters, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shengmao Fu, Liangying Miao
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Boundedness and global asymptotic stability of a forced oscillator
Nonlinear Analysis: Theory, Methods & Applications, 1995The authors consider a forced oscillator described by a differential equation \[ x''+ cx'+ g(x)= p(t),\tag{1} \] where \(c> 0\) is a fixed constant, \(g: \mathbb{R}\to \mathbb{R}\) is sufficiently smooth and has limits at infinity, \(g(- \infty)= \lim_{x\to -\infty} g(x)\), \(g(+ \infty)= \lim_{x\to +\infty} g(x)\), satisfying the inequality \(g ...
Alonso, Jose Miguel, Ortega, Rafael
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Boundedness of global solutions of nonlocal parabolic equations
Nonlinear Analysis: Theory, Methods & Applications, 1997It is well-known that some parabolic equations (with fixed boundary conditions) have some solutions which exist for all time and some which only exist on a finite time interval \((0,T^*)\), depending on the initial conditions. In some circumstances, it is also known that, while the solutions which exist only on \((0,T^*)\) become unbounded as \(t\to T^*
Marek Fila
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Global boundedness and stability of a predator–prey model with alarm-taxis
Nonlinear Analysis: Real World ApplicationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shanbing Li, Kaiqiang Wang
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ON THE GLOBAL BOUNDEDNESS OF THE CHEN SYSTEM
International Journal of Bifurcation and Chaos, 2011This paper provides a complete proof of the global boundedness of the Chen system, and some characterization of its trapping region.
Ruy Barboza, Guanrong Chen
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On the global boundedness of the Lü system
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fuchen Zhang +2 more
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Global Existence and Boundedness in Reaction-Diffusion Systems
SIAM Journal on Mathematical Analysis, 1987Summary: In many applications, systems of reaction-diffusion equations arise in which the nature of the nonlinearity in the reaction terms renders ineffective the standard techniques (such as invariant sets and differential inequalities) for establishing global existence, boundedness, and asymptotic behavior of solutions.
Hollis, Selwyn L. +2 more
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Global boundedness in a three-dimensional chemotaxis–haptotaxis model
Computers & Mathematics with Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dan Li, Chunlai Mu, Hong Yi
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