Dr. Akinola Yussuff Akinyele

RESEARCH, TEACHING, or OTHER INTERESTS

General Mathematics, Analysis, Algebra and Number Theory

Scopus Publications

Results of Semigroup of Linear Operators Generating a General Class of Semilinear Initial Value Problems
Olaide Saka-Balogun, Funmilayo Oyelami, Akinola Yussuff Akinyele, and Jude Omosowon
New York Business Global LLC
This paper present results of ω-order preserving partial contraction mapping generating a general class of semilinear initial value problems. We consider the use of fractional powers of unbounded linear operators for its application by starting with some results concerning such fractional powers. We assume A to be the infinitesimal generator of an analytic semigroup in a Banach space X, 0 ∈ ρ(A) and defined the fractional powers of A for 0 < α ≤ 1. We also show that Aα is a closed linear operator whose domain D(Aα) ⊃ D(A) is dense in X. Finally we established that the operator is bounded, continuous and Holder continuous.


Differentiable and analytic results on ω−order preserving partial contraction mapping in semigroup of linear operator
SCIK Publishing Corporation



Results of semigroup of linear operator in spectral theory
SCIK Publishing Corporation



PERTURBATION OF INFINITESIMAL GENERATOR IN SEMIGROUP OF LINEAR OPERATOR




Properties of ω-order-preserving partial contraction mapping and its relation to C0-semigroup