线性矩微分方程组解的定义域和增长率

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-09-25 DOI:10.1016/j.jmaa.2025.130097

Antonio Cáceres, Alberto Lastra

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引用次数: 0

摘要

给出了线性矩微分方程组解的定义域，即矩序列的增长。对于允许完整解的系统，描述了其解在无穷远附近的增长率：首先，根据与权重序列相关的关联函数；其次是整个函数的顺序和类型。在考虑对数顺序和类型时，将详细介绍进一步的信息。

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On the domain and growth rate of the solutions to linear systems of moment differential equations

The domain of definition of the solutions to linear systems of moment differential equations is provided in terms of the growth of the sequence of moments. The growth rate of the solutions near infinity is described for systems admitting entire solutions: first, in terms of the associated function related to a weight sequence; second in terms of the order and type of an entire function. Further information is detailed when considering logarithmic order and types.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.