Multiple sign-changing solutions for fourth order -point boundary value problems
β Scribed by Zhongli Wei; Changci Pang
- Book ID
- 118486306
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 237 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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.
## a b s t r a c t In this paper, we study the existence and multiplicity of solutions to the fourth-order boundary value problem u (4) By using the critical point theory and the infinite dimensional Morse theory, we establish some conditions on f which are able to guarantee that this boundary va