In the author's paper [7] methods of monotone operator theory are applied to some cl-s of nonlinear boundary value problems for firat order elliptic syatema in the plane. Completing thew investigations, in this paper we deal with some simple limit c88e8 of such problems for holomorphic functions. Us
Landesman-Lazer Conditions for Periodic Boundary Value Problems with Asymmetric Nonlinearities
β Scribed by C. Fabry
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 392 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0022-0396
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## Abstract Let us consider the boundaryβvalue problem equation image where __g__: β β β is a continuous and __T__ βperiodic function with zero mean value, not identically zero, (__Ξ»__, __a__) β β^2^ and $ \tilde h $ β __C__ [0, __Ο__ ] with β«^__Ο__^ ~0~ $ \tilde h $(__x__) sin __x dx__ = 0. If _
We consider solutions of boundary value problems for the ordinary differential equation. \(y^{\prime n}=f\left(x, y, y^{\prime}, \ldots, y^{\prime n}{ }^{\prime \prime}\right)\), which satisfy \(g_{i}\left(y(x), \ldots, y^{\prime n}{ }^{11}\left(x_{i}\right)\right)=y_{i}\), \(1 \leqslant i \leqslant