Volume no :77, Issue no: 1, (2024)

Journal of Mathematical Sciences: Advances and Applications

ON SOME FINITE DIMENSIONAL EXTENSIONS FOR A NOETHER OPERATOR IN A SPECIFIC FUNCTIONAL SPACE

Author's: Abdourahman Haman Adji, Tompe Weimbapou Ecclésiaste and Kengne Emmanuel
Pages: [1] - [29]
Received Date: August 29, 2024
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122309

Abstract

The main purpose of this work is to realize and to establish the extension of a noether operators A defined by a third kind singular integro-differential equation of first and n-th-order. The extended operator of the initial n-th-order operator A is realized in and it noetherity is investigated. In addition, we investigate the noetherity of the extended initial noether operator noted in The index of such noether operator is calculated.

Keywords

integral equation of the third kind, deficient numbers, index, Taylor derivative, noether operator, fundamental functions, singular operator.