EXISTENCE AND UNIQUENESS OF GREEN FUNCTION AND IT’S APPLICATION TO BOUNDARY VALUE PROBLEMS; CASE STUDY OF BESSEL OPERATOR OF ORDER “n”

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Published: 2018-10-29

Page: 315-330


ELVIS K. DONKOH *

Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, Ghana

SAMUEL G. APAU

Department of Healthcare Management, Boitekanelo College, Botswana

KOFI A. ABABIO

Department of Mathematics and Statistics, Technical University of Kumasi (KT’sU), Ghana

*Author to whom correspondence should be addressed.


Abstract

In mathematical physics, certain initial value problems (IVP) and boundary value problems ( BVP) are better solved using Green function. The Bessel operator of order ‘n’ is a classical example. We prove the existence and uniqueness of such Green function; the results obtained uniquely will be used to solve the well known Bessel operator of non-zero order ‘n’ subject to the end conditions (0)=y(1)=0.

Keywords: Bessel operator, green function, integral equations, boundary value problem, existence and uniqueness


How to Cite

DONKOH, E. K., APAU, S. G., & ABABIO, K. A. (2018). EXISTENCE AND UNIQUENESS OF GREEN FUNCTION AND IT’S APPLICATION TO BOUNDARY VALUE PROBLEMS; CASE STUDY OF BESSEL OPERATOR OF ORDER “n”. Asian Journal of Mathematics and Computer Research, 25(5), 315–330. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/4236

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