Continuous Dependence on Data for a Second-Order Nonhomogeneous Difference Inclusion.

Autor: Jamshidnezhad, Parisa, Saeidi, Shahram
Zdroj: Mediterranean Journal of Mathematics; Dec2022, Vol. 19 Issue 6, p1-16, 16p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index