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.
Rights
Attribution 4.0 International