General Mathematics, Analysis, Algebra and Number Theory
5
Scopus Publications
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, Jude Omosowon European Journal of Pure and Applied Mathematics, 2023 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.
PERTURBATION OF INFINITESIMAL GENERATOR IN SEMIGROUP OF LINEAR OPERATOR South East Asian Journal of Mathematics and Mathematical Sciences, 2019
Properties of ω-order-preserving partial contraction mapping and its relation to C0-semigroup International Journal of Mathematics and Computer Science, 2019
