Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
Lingbin Kong ; Daqing Jiang
Annales Polonici Mathematici, Tome 69 (1998), p. 265-270 / Harvested from The Polish Digital Mathematics Library
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The fourth order periodic boundary value problem u(4)-m⁴u+F(t,u)=0, 0 < t < 2π, with u(i)(0)=u(i)(2π), i = 0,1,2,3, is studied by using the fixed point index of mappings in cones, where F is a nonnegative continuous function and 0 < m < 1. Under suitable conditions on F, it is proved that the problem has at least two positive solutions if m ∈ (0,M), where M is the smallest positive root of the equation tan mπ = -tanh mπ, which takes the value 0.7528094 with an error of ±10-7.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:270758 
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     year = {1998},
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Lingbin Kong; Daqing Jiang. Multiple positive solutions of a nonlinear fourth order periodic boundary value problem. Annales Polonici Mathematici, Tome 69 (1998) pp. 265-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv69z3p265bwm/

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