In this paper, using the Brzdek's fixed point theorem [9,Theorem 1] in non-Archimedean(2,β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation ■where p∈{1, …...In this paper, using the Brzdek's fixed point theorem [9,Theorem 1] in non-Archimedean(2,β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation ■where p∈{1, …, 5}, a_1,…, a_k are fixed nonzero reals when p ∈ {1,3,5} and are fixed positive reals when p ∈{2,4}.展开更多
This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumik- hin methods, some suffi...This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumik- hin methods, some sufficient conditions are derived to check the stability of stochastic switching nonlinear systems with delay. One numerical example is provided to demonstrate the effectiveness of the results.展开更多
In this paper, we establish an inequality for the volumes of K and its radial p-th mean body R_pK by L_p-dual mixed volume. Further, the Shephard-type problem and a monotonitic inequality of R_pK are shown when p〉0 .
考虑疾病传播过程中的随机干扰,运用随机人口建模中参数扰动的标准化技术,建立了一类具有随机扰动的传染病SEIR(susceptible-exposed but not infectious-infectious-removed)模型,证明了模型解的存在唯一性及非负性,并研究了无病平衡...考虑疾病传播过程中的随机干扰,运用随机人口建模中参数扰动的标准化技术,建立了一类具有随机扰动的传染病SEIR(susceptible-exposed but not infectious-infectious-removed)模型,证明了模型解的存在唯一性及非负性,并研究了无病平衡点满足p阶矩指数稳定的条件.研究结果为传染病预防与控制提供一定的理论依据与决策支持.展开更多
文摘In this paper, using the Brzdek's fixed point theorem [9,Theorem 1] in non-Archimedean(2,β)-Banach spaces, we prove some stability and hyperstability results for an p-th root functional equation ■where p∈{1, …, 5}, a_1,…, a_k are fixed nonzero reals when p ∈ {1,3,5} and are fixed positive reals when p ∈{2,4}.
文摘This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumik- hin methods, some sufficient conditions are derived to check the stability of stochastic switching nonlinear systems with delay. One numerical example is provided to demonstrate the effectiveness of the results.
基金Supported by the National Natural Science Foundation of China (10671117)the Science Foundation of China Three Gorges University
文摘In this paper, we establish an inequality for the volumes of K and its radial p-th mean body R_pK by L_p-dual mixed volume. Further, the Shephard-type problem and a monotonitic inequality of R_pK are shown when p〉0 .
文摘考虑疾病传播过程中的随机干扰,运用随机人口建模中参数扰动的标准化技术,建立了一类具有随机扰动的传染病SEIR(susceptible-exposed but not infectious-infectious-removed)模型,证明了模型解的存在唯一性及非负性,并研究了无病平衡点满足p阶矩指数稳定的条件.研究结果为传染病预防与控制提供一定的理论依据与决策支持.
