Continuous selections of solution sets to Volterra integral inclusions in Banach spaces

Date

2006-01-06

Authors

Aizicovici, Sergiu
Staicu, Vasile

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved. The case when the m-accretive operator in the integral inclusion depends on time is also discussed.

Description

Keywords

Volterra integral equation, m-accretive operator, Integral solution, Multivalued map

Citation

Aizicovici, S., & Staicu, V. (2006). Continuous selections of solution sets to Volterra integral inclusions in Banach spaces. <i>Electronic Journal of Differential Equations, 2006</i>(01), pp. 1-11.

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Attribution 4.0 International

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