Results 31 to 40 of about 64,779 (321)
Global and local boundedness of Polish groups [PDF]
Indiana University Mathematics Journal, 2013 We present a comprehensive theory of boundedness properties for Polish groups developed with a main focus on Roelcke precompactness (precompactness of the lower uniformity) and Property (OB) (boundedness of all isometric actions on separable metric spaces). In particular, these properties are characterised by the orbit structure of isometric actions on
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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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The global attractive sets and synchronization of a fractional-order complex dynamical system
AIMS Mathematics, 2023 This paper presents a chaotic complex system with a fractional-order derivative. The dynamical behaviors of the proposed system such as phase portraits, bifurcation diagrams, and the Lyapunov exponents are investigated.
Minghung Lin +3 more
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Dynamic Characteristics of Four Systems of Difference Equations with Higher Order
Advances in Mathematical Physics, 2021 In this paper, we explore the global dynamical characteristics, boundedness, and rate of convergence of certain higher-order discrete systems of difference equations.
Abdul Qadeer Khan +2 more
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Ultimate Boundedness and Finite Time Stability for a High Dimensional Fractional-Order Lorenz Model
Fractal and Fractional, 2022 In this paper, the global attractive set (GAS) and positive invariant set (PIS) of the five-dimensional Lorenz model with the fractional order derivative are studied.
Min Huang +3 more
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Neumann functions for second order elliptic systems with measurable coefficients
, 2012 We study Neumann functions for divergence form, second order elliptic systems with bounded measurable coefficients in a bounded Lipschitz domain or a Lipschitz graph domain.
Choi, Jongkeun, Kim, Seick
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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, ∞), k ∈ {1, 2, 3, …} and the initial conditions y−k, …, y0 ∈ (0, ∞). We show that the
Xiu-Mei Jia, Wan-Tong Li
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On the Recursive Sequence xn+1=A+xnp/xn−1p
Discrete Dynamics in Nature and Society, 2007 This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation xn+1=A+xnp/xn−1p, n∈ℕ0, with p,A∈(0,∞).
Stevo Stevic
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Sufficient conditions for global boundedness in inertial chemotaxis systems with logistic growth
AIMS MathematicsThis paper investigates a chemotaxis model described by the following system of partial differential equations: \begin{document}$ \begin{eqnarray*} \left\{ \begin{array}{llll} u_{t} = \Delta u - \nabla \cdot (u \mathbf{w}) + \gamma(u - u^{\alpha}), & x
Jiashan Zheng, Liqiong Pu
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Global well-posedness and Turing–Hopf bifurcation of prey-taxis systems with hunting cooperation
European Journal of Applied MathematicsThis paper is concerned with a predator–prey system with hunting cooperation and prey-taxis under homogeneous Neumann boundary conditions. We establish the existence of globally bounded solutions in two dimensions.
Weirun Tao, Zhi-An Wang
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