Abstract
We consider the matrix renewal equation on the whole line, whose kernel is a nonlattice matrix measure. The inhomogeneous term behaves like a submultiplicative function up to a constant vector. Asymptotic properties of the solution are established depending on the asymptotics of the submultiplicative function.
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Sgibnev, M.S. THE MATRIX RENEWAL EQUATION ON THE WHOLE LINE WITH SUBMULTIPLICATIVE INHOMOGENEOUS TERM. J Math Sci 266, 967–980 (2022). https://doi.org/10.1007/s10958-022-06245-5
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DOI: https://doi.org/10.1007/s10958-022-06245-5