# An existence result for impulsive functional differential inclusions in Banach spaces

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2004)

- Volume: 24, Issue: 1, page 13-30
- ISSN: 1509-9407

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topIrene Benedetti. "An existence result for impulsive functional differential inclusions in Banach spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 24.1 (2004): 13-30. <http://eudml.org/doc/271453>.

@article{IreneBenedetti2004,

abstract = {We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.},

author = {Irene Benedetti},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {impulsive functional differential inclusion; semilinear differential inclusion; mild solution; Cauchy problem; solution set; condensing multimap; fixed point; impulsive functional-differential inclusions; fixed-point},

language = {eng},

number = {1},

pages = {13-30},

title = {An existence result for impulsive functional differential inclusions in Banach spaces},

url = {http://eudml.org/doc/271453},

volume = {24},

year = {2004},

}

TY - JOUR

AU - Irene Benedetti

TI - An existence result for impulsive functional differential inclusions in Banach spaces

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2004

VL - 24

IS - 1

SP - 13

EP - 30

AB - We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.

LA - eng

KW - impulsive functional differential inclusion; semilinear differential inclusion; mild solution; Cauchy problem; solution set; condensing multimap; fixed point; impulsive functional-differential inclusions; fixed-point

UR - http://eudml.org/doc/271453

ER -

## References

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- [12] A.M. Samoilenko and N.A. Perestyuk, Impulsive differential equations, World Scientific Series on Nonlinear Science, Series A: Monographs and Treatises, 14, World Scientific Publishing Co., Inc., River Edge, NJ 1995. Zbl0837.34003
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## Citations in EuDML Documents

top- Irene Benedetti, Valeri Obukhovskii, Pietro Zecca, Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
- Nadjet Abada, Ravi P. Agarwal, Mouffak Benchohra, Hadda Hammouche, Impulsive semilinear neutral functional differential inclusions with multivalued jumps

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