On the Existence Theorem of an Eigenvalue Problem Arising from Hydrodynamics | Zendy

Wen ShihLiang | Zendy

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On the Existence Theorem of an Eigenvalue Problem Arising from Hydrodynamics

Author(s) -

Wen ShihLiang

Publication year - 1977

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.19770570205

Subject(s) - eigenfunction , eigenvalues and eigenvectors , countable set , mathematics , transformation (genetics) , pure mathematics , set (abstract data type) , variable (mathematics) , mathematical analysis , physics , computer science , quantum mechanics , chemistry , biochemistry , programming language , gene

The existence of a denumerable set of eigenvalues and eigenfunctions is proved for the problem: g′ + (λ 2 ‐ λv ‐1 u) g = 0, h′ + λ 2 h = ‐g with h(0) = h′(0) = h(1) = h′(1) = 0. The procedure involves a suitable transformation, asymptotic expansions and complex variable techniques.

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