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In the case of (alpha=beta=0) and (p=2), Ma et al. [18] considered problem (5.1) on determining the interval of r by the bifurcation theory of Rabinowitz [2] and Kielhöfer [35], in which there exist positive solutions for problem (5.1) with indefinite weight under the assumptions (H6).
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In addition, the proposed approach can deal with categorical attributes and quantitative attributes, and determine the interval of quantitative attributes.
We determined the interval of endotoxin tolerance, in vivo, in horses based on physical, clinicopathologic, and proinflammatory gene expression responses to repeated endotoxin exposures.
In addition, relationship between fatigue failure probability and the number of walking steps was suggested providing a reference for clinicians to determine the interval of the inspection for the monolimb.
By bifurcation and topological methods, the author determined the interval of parameter λ in which the above problem has zero/one/two nontrivial nonnegative solutions according to sublinear/linear/superlinear nonlinearity at zero.
As applications of the above results, we shall determine the interval of r, in which there exist nodal solutions for the following problem{u″(t)+ra(t)f u)= 0,t∈ 0,1),u(0)="u(1)="0, where a(t) is a positive continuous function on [0,1], f∈C R,R) but is not necessarily differentiable at the origin and infinity.
21, 22 Although provision of free ART, as in this case, could enhance early diagnosis and initiation of ART, our study could not determine the interval of time between onset of illness and commencement of ART for the participants.
As applications of the bifurcation result, we determine the intervals of λ for the existence, nonexistence, uniqueness and multiplicity of radially symmetric k-admissible solutions for this problem.
We determine the intervals of q where LPT is an algorithm of optimal competitive ratio, and design different algorithms of optimal competitive ratio for the intervals where it fails to be the best algorithm.
The proposed probabilistic model can be used to determine the intervals of time in order to plan inspection and maintenance procedures in reinforced concrete structures as function of w/c ratio adopted.
Roughly speaking, we determine the intervals of λ's for which problem (N) admits only the trivial solution and for which problem (N) has at least two nontrivial solutions.
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