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Lyapunov inequalities for the periodic boundary value problem at higher eigenvalues

✍ Scribed by Antonio Cañada; Salvador Villegas

Book ID: 108178833
Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 218 KB
Volume: 376
Category: Article
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.11.061

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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 _