C 1 regularity of the stable subspaces with a general nonuniform dichotomy

Advances in Difference Equations

Jie Wang¹ 

[1] Department of Mathematics, College of Science, Hohai University, Nanjing, China

关键词: difference equations;    parameter dependence;    nonuniform dichotomies;   

DOI  :  10.1186/1687-1847-2012-31

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

For nonautonomous linear difference equations, we establish C1 regularity of the stable subspaces under sufficiently C1-parameterized perturbations. We consider the general case of nonuniform dichotomies, which corresponds to the existence of what we call nonuniform (μ, ν)-dichotomies. Mathematics Subject Classification 2000: Primary 34D09; 34D10; 37D99.

【 授权许可】

CC BY