On a Boundary Value Problem of Hybrid Functional Differential Inclusion with Nonlocal Integral Condition

Ahmed M. A. El-Sayed, Wagdy G. El-Sayed and Somyya S. Amrajaa
Additional contact information
Ahmed M. A. El-Sayed: Faculty of Science, Alexandria University, Alexandria 21544, Egypt
Wagdy G. El-Sayed: Faculty of Science, Alexandria University, Alexandria 21544, Egypt
Somyya S. Amrajaa: Faculty of Science, Omar Al Mukhtar University, Al Bayda 991, Libya

Mathematics, 2021, vol. 9, issue 21, 1-16

Abstract: In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be proved. A sufficient condition for uniqueness of the solution is given. The continuous dependence of the unique solution will be studied.

Keywords: hybrid differential inclusion; boundary value problem; nonlocal condition; integral condition; infinite point boundary condition; existence of solutions; continuous dependence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/21/2667/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/21/2667/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:21:p:2667-:d:661666

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().