Multiple Positive Solutions for a Fourth-order Boundary Value Problem - doi: 10.5269/bspm.v21i1-2.7503
Zhu, Yaoliang ; Weng, Peixuan
Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009), / Harvested from Portal de Periódicos da UEM
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In this paper, we discuss the existence of multiple positive solutionsfor the fourth-order boundary value problemu^{(4)}(t) = f(t, u(t), u''(t)), 0 < t < 1,u(0) = u(1) = u''(0) = u''(1) = 0,where f : [0, 1] × [0,1) \rightarrow [0,1) is continuous. Existence theorems are established via the theory of fixed point index in cones.

Publié le : 2009-01-01
DOI : https://doi.org/10.5269/bspm.v21i1-2.7503 
@article{7503,
     title = {Multiple Positive Solutions for a Fourth-order Boundary Value Problem - doi: 10.5269/bspm.v21i1-2.7503},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {23},
     year = {2009},
     doi = {10.5269/bspm.v21i1-2.7503},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/7503}
}

Zhu, Yaoliang; Weng, Peixuan. Multiple Positive Solutions for a Fourth-order Boundary Value Problem - doi: 10.5269/bspm.v21i1-2.7503. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v21i1-2.7503. http://gdmltest.u-ga.fr/item/7503/