Existence theorem for a second-order impulsive functional-differential equation with a nonlocal condition (Q2821987)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Existence theorem for a second-order impulsive functional-differential equation with a nonlocal condition |
scientific article; zbMATH DE number 6629835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theorem for a second-order impulsive functional-differential equation with a nonlocal condition |
scientific article; zbMATH DE number 6629835 |
Statements
26 September 2016
0 references
impulse effect
0 references
nonlocal condition
0 references
cosine family
0 references
Existence theorem for a second-order impulsive functional-differential equation with a nonlocal condition (English)
0 references
The authors deal with the existence of mild solutions to the second-order semilinear impulsive functional-differential equation in a Banach space, where the linear part is given by the infinitesimal generator of a strong continuous cosine family of bounded linear operators. The Schauder fixed point theorem and the theory of cosine family are the main tools in carrying out the proof.
0 references
