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Jung, Soon-Mo; Min, Seungwook

On approximate Euler differential equations. (English) Zbl 1179.35241

Abstr. Appl. Anal. 2009, Article ID 537963, 8 p. (2009).
Summary: We solve the inhomogeneous Euler differential equations of the form \(x^2y''(x)+ \alpha xy'(x)+ \beta y(x)= \sum_{m=0}^\infty a_m x^m\) and apply this result to the approximation of analytic functions of a special type by the solutions of Euler differential equations.

Cited in 10 Documents

MSC:

35Q35 PDEs in connection with fluid mechanics
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References:

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