solution a b s t r a c t We investigate the existence of nontrivial solutions for a multi-point boundary value problem for fractional differential equations. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by u
Nontrivial solution of a nonlinear second-order three-point boundary value problem
โ Scribed by Shuhong Li; Yongping Sun
- Book ID
- 107500762
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2007
- Tongue
- English
- Weight
- 145 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1005-1031
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๐ SIMILAR VOLUMES
In this paper, by using the method of topology degree, some existence theorems of nontrivial solutions for singular nonlinear m-point boundary value problems are established. Our nonlinearity may be singular in its dependent variable.
The existence, nonexistence, and multiplicity of nonnegative solutions are established for the three-point boundary value problem where ฮฒ โ (0, 1), ฮฑ โ (0, 1/ฮฒ), and ฮป is a nonnegative parameter, under appropriate hypotheses. The key idea is that the problem of finding a nonnegative solution is tra
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