For the 2nth-order boundary value problem c~y (2i) (0) -fliy (2i+1) (0) = a~y (2i) (1) +/3~y (2i+1) (1) = 0, O 1, growth conditions are imposed on f which yield the existence of at least two symmetric positive solutions by using the fixed-point theorem in double cones.
On eigenvalue intervals of higher-order boundary value problems with a sign-changing nonlinear term
β Scribed by Dexiang Ma; Xiaozhong Yang
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 255 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper concerns the existence of nontrivial solutions for the following singular m-point boundary value problem with a sign-changing nonlinear term is a sign-changing continuous function and may be unbounded from below. By applying the topological degree of a completely continuous field and the
In this paper, by using Krasnoselskii's Fixed Point Theorem in a cone, we study the existence of positive solutions for the second-order three-point boundary value problem where 0 < Ξ±, Ξ· < 1 and f is allowed to change sign. We also give some examples to illustrate our results.
We consider the following system of higher order three-point boundary-value problems where i = 1, 2, . . . , n, m i β₯ 3, 1 2 (a + b) < t \* < b, ΞΎ β₯ 0, Ξ΄ > 0 and Ο i 's are deviating arguments. Several criteria are offered for the existence of three fixed-sign solutions (u 1 , u 2 , . . . , u n ) o