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Nonlinear boundary value problems with simple eigenvalue of the linear part

✍ Scribed by Klaus Klingelhöfer

Publisher: Springer
Year: 1970
Tongue: English
Weight: 810 KB
Volume: 37
Category: Article
ISSN: 0003-9527
DOI: 10.1007/bf00249671

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## Abstract Let us consider the boundary‐value problem equation image where __g__: ℝ → ℝ is a continuous and __T__ ‐periodic function with zero mean value, not identically zero, (__λ__, __a__) ∈ ℝ^2^ and $ \tilde h $ ∈ __C__ [0, __π__ ] with ∫^__π__^ ~0~ $ \tilde h $(__x__) sin __x dx__ = 0. If _