THE MATRIX RENEWAL EQUATION ON THE WHOLE LINE WITH SUBMULTIPLICATIVE INHOMOGENEOUS TERM

M. S. Sgibnev

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THE MATRIX RENEWAL EQUATION ON THE WHOLE LINE WITH SUBMULTIPLICATIVE INHOMOGENEOUS TERM

机译：具有亚乘非齐次项的全线矩阵更新方程

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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.

机译：摘要考虑整条线上的矩阵更新方程，其核为非晶格矩阵测度。非齐次项的行为类似于常数向量的次乘函数。解的渐近性质取决于子乘法函数的渐近性。

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来源
《Journal of mathematical sciences》 |2022年第6期|967-980|共14页
作者
M. S. Sgibnev;
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作者单位

Sobolev Institute of Mathematics;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
Matrix renewal equation; Nonlattice matrix measure; Submultiplicative function; Asymptotic behavior;

机译：矩阵更新方程;非晶格矩阵测量;子乘法函数;渐近;

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THE MATRIX RENEWAL EQUATION ON THE WHOLE LINE WITH SUBMULTIPLICATIVE INHOMOGENEOUS TERM

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