2024 : 5 : 1
Shahram Saeidi

Shahram Saeidi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId: 24780124600
Faculty: Faculty of Science
Address:
Phone: 0871-6624133

Research

Title
Continuous Dependence on Data for a Second-Order Nonhomogeneous Difference Inclusion
Type
JournalPaper
Keywords
m-Accretive operator, second-order difference equation uniformly smooth Banach space, Yosida approximation
Year
2022
Journal Mediterranean Journal of Mathematics
DOI
Researchers JAMSHIDNEJAD parisa ، Shahram Saeidi

Abstract

We wish to investigate the continuous dependence on data for a nonhomogeneous second-order difference inclusion corresponding to a general second-order evolution equation of accretive type in a Banach space. Our conclusions are new even for Hilbert spaces and significantly extend some previously known results to the nonhomogeneous case by assuming much weaker conditions on the zeroes of operators. Applicability of our results is demonstrated through a partial-difference equation example