Results of Semigroup of Linear Operators Generating a General Class of Semilinear Initial Value Problems

Authors

  • Olaide Saka-Balogun Afe Babalola University, Ado-Ekiti, Nigeria
  • Funmilayo Oyelami Afe Babalola University, Ado-Ekiti, Nigeria
  • Akinola Yussuff Akinyele University of Ilorin, Ilorin. https://orcid.org/0000-0002-0328-0787
  • Jude Omosowon University of Ilorin, Ilorin, Nigeria

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i1.4659

Keywords:

$\omega$-$OCP_n$, Strongly Elliptic, $C_0$-semigroup, Analytic Semigroup

Abstract

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.

Author Biography

Akinola Yussuff Akinyele, University of Ilorin, Ilorin.

Ph.D. student,

Department of Mathematics.

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Published

2023-01-29

How to Cite

Saka-Balogun, O. ., Oyelami, F., Akinyele, A. Y., & Omosowon, J. . . (2023). Results of Semigroup of Linear Operators Generating a General Class of Semilinear Initial Value Problems. European Journal of Pure and Applied Mathematics, 16(1), 538–547. https://doi.org/10.29020/nybg.ejpam.v16i1.4659

Issue

Vol. 16 No. 1: (January 2023)

Section

Nonlinear Analysis

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Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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