Haar金字塔拟线性泛函微分系统的经典解

Functional differential equations Pub Date : 2004-10-05 DOI:10.7153/dea-01-09

Elżbieta Puźniakowska

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引用次数: 8

摘要

研究一类拟线性微分系统的柯西问题。证明了定义在哈尔金字塔上的经典解的存在性定理。采用了双特征理论和逐次逼近方法。偏变量微分系统和微分积分系统可以通过对给定算子的专门化，从一般理论得到。

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Classical solutions of quasilinear functional differential systems of the Haar pyramid

The Cauchy problem for a quasilinear ftmctional differential system is considered. A theorem on the existence of classical solutions defined on the Haar pyramid is proved. The theory of bicharacteristics and the method of successive approximations are used. Differential systems with deviated variables and differential integral systems can be obtained from a general theory by specializing given operators.

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来源期刊

Functional differential equations

CiteScore

0.50

自引率

0.00%

发文量