In this paper, the upper and lower solution method and Schauder's fixed point theorem are employed in the study of boundary value problems for a class of second-order impulsive ordinary differential equations with nonlinear boundary conditions. We prove the existence of solutions to the problem unde
✦ LIBER ✦
Nonlinear boundary value problems with concave nonlinearities near the origin
✍ Scribed by Zhi-Qiang Wang
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2001
- Tongue
- English
- Weight
- 198 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1021-9722
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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 _
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