ISSN:
1572-9176
Keywords:
Multiple positive solutions
;
multipoint conjugate boundary value problem
;
fixed points
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract For the nth order nonlinear differential equation y (n)(t)=f(y(t)), t ∈ [0,1], satisfying the multipoint conjugate boundary conditions, y (j)(ai) = 0,1 ≤ i ≤ k, 0 ≤ j ≤ n i - 1, 0 =a 1 〈 a 2 〈 ⋯ 〈 a k = 1, and ∑ i=1 k n i =n, where f:ℝ→ [0, ∞) is continuous, growth condtions are imposed on f which yield the existence of at least three solutions that belong to a cone.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022920632092
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