Bahuguna, DhirendraSingh, Lokesh2021-10-202021-10-202019-02-13Bahuguna, D., & Singh, L. (2019). Stable manifolds for impulsive delay equations and parameter dependence. <i>Electronic Journal of Differential Equations, 2019</i>(25), pp. 1-22.1072-6691https://hdl.handle.net/10877/14678In this article, we establish the existence of Lipschitz stable invariant manifolds for the semiflows generated by the delay differential equation x′ = L(t)xt + ƒ(t, xt, λ) with impulses at times {τi}∞i=1, assuming that the perturbation ƒ(t, xt, λ) as well as the impulses are small and the corresponding linear delay differential equation admits a nonuniform exponential dichotomy. We also show that the obtained manifolds are Lipschitz in the parameter λ.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalDelay impulsive equationExponential dichotomyStable invariant manifoldArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.