Integral manifolds of impulsive differential equations

[摘要] The present paper is concerned with the existence of integral manifolds of impulsive differential equations ast→+∞. Under the assumption of exponential trichotomy on the linear part of the right-hand side of the equation, it is proved that if the nonlinear perturbation is small enough, then there exist integral manifolds ast→+∞for the perturbed equations.

[学科分类] 应用数学