Eigenvalues of Volterra Operator
Dian Maharani (a*), Hairur Rahman (a), Fresy Nugroho (b), Tri Mukti Lestari (c), I.G.P. Asto Buditjahjanto (d), Dwi Pebrianti (e), Jehad A.H. Hammad (f), Moch Fachri (g)

a) Mathematics Department,
UIN Maulana Malik Ibrahim Malang,
Malang. Indonesia
*dian.maharani[at]mat.uin-malang.ac.id

b) Mechanical Engineering,
UIN Maulana Malik Ibrahim Malang,
Malang, Indonesia

c) Informatics Engineering,
UIN Maulana Malik Ibrahim Malang,
Malang, Indonesia

d) State University of Surabaya, Surabaya, Indonesia

e) Mechanical Aerospace Engineering, International Islamic University Malaysia, Kuala Lumpur, Malaysia

f) Computer Information System, Al Quds Open University, Abu Dis, Palestine

g) Faculty of Engineering, Universitas Krisnadwipayana, Jakarta, Indonesia

Abstract

Integral equations frequently appear in many mechanics problems. Several of them are grouped based on the location of an unknown function or the integration interval. Here we have a boundary problem that will be rearranged into Volterra integral equation. From this equation, the integral operator (namely the Volterra operator) will be developed by determining the kernel. Then the eigenvalues of this operator will be sought.

Keywords: Volterra Integral Equation- Kernel- Volterra Operator- Eigenvalues

Topic: Functional Analysis