Kneser Property for Some Partial Functional Integrodifferential Equations in Banach Spaces
Gapily Douka, Paul Ouédraogo, Judéon Kabré, and Issa Zabsonré
Université Joseph KI-ZERBO, UFR Sciences Exactes et Appliquées, Ouagadougou, Burkina Faso.
Received on February 17, 2026, revised on March 24, April 25, 2026
Accepted on May 5, 2026
Communicated by Gaston M. N'Guérékata
| Abstract. In this work, using the resolvent operator theory in the sense given by Grimmer, we establish that the set of solutions of the integrodifferential equations studied in a recent publication is connected in the space of continuous functions. | |
| Keywords: | Resolvent operator, C0-semigroup, integrodifferential equations |
| 2010 Mathematics Subject Classification: 34K30, 45N05. | |
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