In our study, to answer the above mentioned question, the existence of cluster effect (hospital effect) was tested by using a 2-level logistic modelling, where patients were nested into hospitals.
In order to both define which type of PG hydrolyzing mechanism is responsible for cyanobacterial cell division and address how the mechanism has been changed/lost in chloroplasts, we searched for homologs of the above mentioned proteins based on the existence of certain motifs in the respective cyanobacterial and eukaryotic genome databases.
Inspired greatly by the above mentioned works, we establish some new existence criteria of uniqueness and existence of positive solutions for FBVP (1.1).
All the above mentioned papers are concerned with the existence of only one positive solution.
In the light of the above mentioned notions, we may suppose the existence of muscle modifications in fibromyalgic patients, in particular of type II fibers, the white rapidly contracting type fibers.
RWA 11 (2010) 2573 2583], we prove a local existence result for the above mentioned optimal control problem.
However, we cannot invoke the above mentioned Theorem 3.2 of Sadiq Basha to show the existence of a best proximity point because g is not an isometry.
Motivated greatly by the above mentioned work and [23, 40], we consider the local existence and uniqueness of positive solutions for the coupled system (1.1).
We propose to use machine learning methods to analyse the output of simulation models to learn co-existence rules that directly link the above mentioned causes and effects.
The presence of (f_{2}(cdot)) is crucial and guarantees the existence of a global attractor for the above mentioned system in the present method.
As an application of the properties of Green's function, we give the existence of multiple positive solutions for the above mentioned singular boundary value problems.
