In this paper, we establish existence and multiplicity results for the problem ลฝ . ลฝ. w x ลฝ . ลฝ . xะ q x q f t, x, xะ s s t a.e. in 0, ; x 0 s x s โฅ , under the AmbrosettiแProdi type condition, with f being a Caratheodory function.
A multiplicity result for a periodic boundary value problem
โ Scribed by Boris Rudolf
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 345 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
This paper studies the existence of positive solutions for periodic boundary value problems. The criteria for the existence, nonexistence and multiplicity of positive solutions are established by using the Global continuation theorem, fixed point index theory and approximate method. The results obta
## Abstract Let us consider the boundaryโvalue problem equation image where __g__: โ โ โ is a continuous and __T__ โperiodic function with zero mean value, not identically zero, (__ฮป__, __a__) โ โ^2^ and $ \tilde h $ โ __C__ [0, __ฯ__ ] with โซ^__ฯ__^ ~0~ $ \tilde h $(__x__) sin __x dx__ = 0. If _