Localization of the spectrum of the eigenvalue problem nonlinear in the spectral parameter
✍ Scribed by V.T. Zakharchuk; N.P. Savenkova
- Publisher
- Elsevier Science
- Year
- 1990
- Weight
- 211 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0041-5553
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## Abstract We consider the nonlinear two–parameter problem __u__″(__x__) + __μu__(__x__)^__p__^ = __λu__(__x__)^__p__^, __u__(__x__) > 0, __x__ ∈ __I__ = (0, 1), __u__(0) = __u__(1) = 0, where 1 < __q__ < __p__ < 2__q__ + 3 and __λ__, __μ__ > 0 are parameters. We establish the three–term spect
A nonlinear spectral problem for a Sturm -Liouville equation The spectral parameter X is varying in an interval A and p ( z , A), q(s, A) are real, continuous functions on [a, b] x A. Some criteria to the eigenvalue accumulation at the endpoints of A will be established. The results are applied to