A generalization of d'Alembert formula

Yu Hsien Chang; Cheng Hong Hong

doi:10.1007/s12044-007-0035-8

A generalization of d'Alembert formula

Yu Hsien Chang^*
, Cheng Hong Hong

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

In this paper we find a closed form of the solution for the factored inhomogeneous linear equation ∏_nj=1(d/dt-a _j)u(t) = f(t). Under the hypothesis A₁, A ₂.....A_n are infinitesimal generators of mutually commuting strongly continuous semigroups of bounded linear operators on a Banach space X. Here we do not assume that A_jS are distinct and we offer the computational method to get explicit solutions of certain partial differential equations.

原文	英語
頁（從 - 到）	411-427
頁數	17
期刊	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
卷	117
發行號	3
DOIs	https://doi.org/10.1007/s12044-007-0035-8
出版狀態	已發佈 - 2007 8月

ASJC Scopus subject areas

一般數學

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10.1007/s12044-007-0035-8

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A generalization of d'Alembert formula

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