Systems of Renewal Equations on the Line
Vol. 10 (2003), No. 3, Page 495--517.
Sgibnev, M. S.
Systems of Renewal Equations on the Line
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]
Abstract:
Systems of integral equations of renewal type on the whole line are considered. Using Banach-algebraic techniques, we study the asymptotic properties of the solutions and give rather general estimates of the rates of convergence.
Keywords: System of renewal equations, matrix renewal measure, Stone's decomposition, submultiplicative function, asymptotic behavior
Mathematics Subject Classification (1991): Primary 60K05; Secondary 45F99
Mathematical Reviews Number: MR2002475
Received: 2002-07-12