Solvability of a non-local hyperbolic model arising from a reliability system

被引：0
|
作者：
机构：
[1] Ackleh, Azmy S.
[2] Deng, Keng
[3] Li, Wei
来源：
Ackleh, A.S. | 1600年 / Oxford University Press卷 / 68期
基金：
美国国家科学基金会;
关键词：
Boundary conditions - Convergence of numerical methods - Differentiation (calculus) - Integral equations - Markov processes - Partial differential equations - Problem solving - Reliability - Theorem proving;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we study a non-local problem for first-order hyperbolic equations arising from a classical reliability system. We reduce the problem to a system of integral equations involving three undetermined functions. We observe that all performance measures of the reliability system depend on these three functions. We then establish existence and uniqueness results for the system of integral equations.
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