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 +3 more
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Global boundedness of a class of multilinear Fourier integral operators
Forum of Mathematics, Sigma, 2021 We establish the global regularity of multilinear Fourier integral operators that are associated to nonlinear wave equations on products of $L^p$ spaces by proving endpoint boundedness on suitable product spaces containing combinations of the local ...
Salvador Rodríguez-López +2 more
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Global Boundedness of Weak Solutions to Fractional Nonlocal Equations
MathematicsIn 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 Existence and Boundedness of Solutions to a Second-Order Nonlinear Differential System [PDF]
Journal of Applied Mathematics, 2012 We investigate the global existence and boundedness of solutions to a second-order nonlinear differential system.
Changjian Wu, Shushuang Hao, Changwei Xu
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Global existence and boundedness in a reaction–diffusion–taxis system with three species
Advances in Difference Equations, 2018 The global existence and boundedness of a reaction–diffusion–taxis system with three interacting species, among which two species consist of predators competing for one species of prey, are investigated.
Xue Xu, Yong Wang
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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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Uniform boundedness and extinction results of solutions to a predator–prey system [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2020 Global existence, positivity, uniform boundedness and extinction results of solutions to a system of reaction-diffusion equations on unbounded domain modeling two species on a predator–prey relationship is considered.
Mokhtar Kirane +2 more
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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
, 2011 Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Luo, Qi, Shen, Yi, Mao, Xuerong
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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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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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