In this paper,we establish some criteria for the stability of trivial solution of population growth models with impulsive perturbations.The working tools are based on the theory of generalized ordinary differential eq...In this paper,we establish some criteria for the stability of trivial solution of population growth models with impulsive perturbations.The working tools are based on the theory of generalized ordinary differential equations.Here,the conditions concerning the functions are more general than the classical ones.展开更多
We generalize Regev's results on a virtual character of the symmetric group S_(n),that is,an integer-combination of some irreducible characters.Suppose that λ and μ are integer partitions of n.For the associated...We generalize Regev's results on a virtual character of the symmetric group S_(n),that is,an integer-combination of some irreducible characters.Suppose that λ and μ are integer partitions of n.For the associated irreducible character χ^(λ) of S_(n),when χ^(λ)(μ)≠0,we find another partition τ related to λ such that χ^(τ)(μ)≠0 by the virtual character.Applying this result,we obtain a class of nonzero Kronecker coefficients by Pak et al.'s character criterion.Moreover,we discuss the effectiveness of Pak et al.'s character criterion bya concreteexample.展开更多
基金Tliis research is supported by the Natural Science Foundation of Zhejiang Province(Grant No.LY19A010013)the National Natural Science Foundation of China(Grant No.11501507).
文摘In this paper,we establish some criteria for the stability of trivial solution of population growth models with impulsive perturbations.The working tools are based on the theory of generalized ordinary differential equations.Here,the conditions concerning the functions are more general than the classical ones.
基金Acknowledgments This research is supported by the National Natural Science Foundation of China （Grant Nos. 11501507, 11426201, 61273016） and the Natural Science Foundation of Zhejiang Province （Grant No. LQ13A010015）.
基金supported by National Natural Science Foundation of China(Grant No.11801506 and Grant No.11626211).
文摘We generalize Regev's results on a virtual character of the symmetric group S_(n),that is,an integer-combination of some irreducible characters.Suppose that λ and μ are integer partitions of n.For the associated irreducible character χ^(λ) of S_(n),when χ^(λ)(μ)≠0,we find another partition τ related to λ such that χ^(τ)(μ)≠0 by the virtual character.Applying this result,we obtain a class of nonzero Kronecker coefficients by Pak et al.'s character criterion.Moreover,we discuss the effectiveness of Pak et al.'s character criterion bya concreteexample.
