Generalization of the d'Alembert formula and the Fourier method

被引：0
|
作者：
Yakubov, S
Yakubov, Y
机构：
[1] Univ Haifa, Dept Math & Comp Sci, IL-31905 Haifa, Israel
[2] Tel Aviv Univ, Sch Math Sci, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel
来源：
SEMIGROUP FORUM | 1999年 / 58卷 / 01期
关键词：
Fourier Method;
D O I：
10.1007/s002339900010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the well-posedness of higher order abstract Cauchy problems and give a representation of the solution in its closed form. When it is not possible we give an expansion of the solution to the series. Many well-known formulas of mathematical physics can be obtained as particular cases of more general formulas. In the present paper we also show this for an example of the d'Alembert formula. Further we prove that the Fourier method can be applied to more general problems than those already known.
引用
收藏
页码：85 / 93
页数：9
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