The matrix renewal equation on the whole line with submultiplicative inhomogeneous term

DOI10.1007/s10958-022-06245-5OpenAlexW4320880013MaRDI QIDQ6188015

Mikhail S. Sgibnev

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06245-5

zbMATH Keywords

asymptotic behaviorsubmultiplicative functionmatrix renewal equationnonlattice matrix measure

Mathematics Subject Classification ID

Systems of nonsingular linear integral equations (45F05) Renewal theory (60K05)

Cites Work

• Banach algebras of measures on the line
• Renewal theorem for a system of renewal equations
• Matrix Volterra integral equation with submultiplicative asymptotics of the inhomogeneous term
• On systems of renewal equations
• An asymptotic expansion for the distribution of the supremum of a random walk
• Regularly varying functions
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