A generalization of d'Alembert formula

Yu Hsien Chang*, Cheng Hong Hong

*此作品的通信作者

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.....An are infinitesimal generators of mutually commuting strongly continuous semigroups of bounded linear operators on a Banach space X. Here we do not assume that AjS 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
117
發行號3
DOIs
出版狀態已發佈 - 2007 八月

ASJC Scopus subject areas

  • 數學(全部)

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