2018
DOI: 10.48550/arxiv.1801.09214
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Delay differential equations with differentiable solution operators on open domains in $C((-\infty,0],\mathbb{R}^n)$, and processes for Volterra integro-differential equations

Abstract: For autonomous delay differential equations x ′ (t) = f (xt) we construct a continuous semiflow of continuously differentiable solution operators x 0 → xt, t ≥ 0, on open subsets of the Fréchet space C((−∞, 0], R n ). For nonautonomous equations this yields a continuous process of differentiable solution operators. As an application we obtain processes which incorporate all solutions of Volterra integro-differential equations x ′ (t) = t 0 k(t, s)h(x(s))ds.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Publication Types

Select...

Relationship

0
0

Authors

Journals

citations
Cited by 0 publications
references
References 8 publications
0
0
0
Order By: Relevance

No citations

Set email alert for when this publication receives citations?