Numerical solutions for system of second order boundary value problems
โ Scribed by Al-Said, E. A. ;Noor, M. A. ;Al-Shejari, A. A.
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 101 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1226-0061
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๐ SIMILAR VOLUMES
We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u + f t u = 0 u 0 = 0 ฮฑu ฮท = u 1 , where ฮท 0 < ฮท < 1 0 < ฮฑ < 1/ฮท, and f 0 1 ร 0 โ โ 0 โ is continuous. We accomplish this by making growth assumptions on f which can apply to many
We establish the existence of positive solutions for the three-point boundary value problem u" + a(t)f(u) = o, u(0) = 0, u(1) -au(~) = b, where b, c~ > 0, r/ E (0, 1), a~? < 1, are given. Under suitable conditions, we show that there exists a positive number b\* such that the problem has at least on