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An approximate solutions technique for axially grooved fluid film journal bearings is presented.
Our proofs are mainly based on the upper and lower solutions technique arguments and the fixed-point index theory for cones.
In this section, using the viscosity solutions technique, we show the C 2 -regularity of the viscosity solution u of (1.5).
Kakutani's or Ky Fan's fixed point theorems were applied with the upper and lower solutions technique in [9] and with a measure of noncompactness in [13].
Yan et al. [17] established the results of existence and multiplicity of positive solutions to the BVP (1.3) by using lower and upper solutions technique.
In the field of second- and higher-order periodic problems, the lower and upper solutions technique is a powerful tool and has been used in most of the studies, for example, the work of Akin [8] and Stehlik [9].
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Students will develop an understanding of how different planning algorithms and solutions techniques are useful in different problem domains.
The new solution technique is compared to the previous method.
No grid generation is required in the present solution technique.
The efficiency of the solution technique is demonstrated and discussed.
Layered LiMg0.1Co0.9O2 has been synthesized using microwave assisted solution technique.
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