This arbitrary dimensional boundary value problem is solved using a numerical shooting method derived from a general Lax pair solution.
Hence, by the strong maximum principle, we can prove that the pair solution ( u, v ) is positive.
To obtain true base-pair solution, a more advanced computational approach needs to be developed to further combine the nucleotide sequence information (motif).
He has helped to oversee the firm's investments in an array of start-ups and small- to mid-size technology companies, including GoMobo, Twisted Pair Solutions and Jacked.
It's a mobile developer platform that pairs solutions from some of its previous acquisitions like Crashlytics and MoPub into a suite of services supporting monetization and crash testing.
Further, on the basis of Theorem 1.1, we prove that problem (1.1) has k ((1leq k<infty)) distinct pairs solutions by Clark's theorem (Theorem 1.2) when functional J is even.
Semi-qPCR reactions were performed in 10 μl in 96-well plates on a Realplex2 thermocycler (Eppendorf, Mississauga, Ontario, Canada) with 5 μl of 2 × FastStart Universal SYBR Green Master mix (Roche Diagnostics), 10 ng (3 μl) cDNA and 200 n final (2 μl) primer pair solutions.
As it is quite impossible to review all the pairs, a solution would be to sample some pairs and just review these ones.
It is easy to see that ((u, v in C[0, 1]times C[0, 1]) is a pair of solution to the system (1) if and only if ((u, v)) is a pair of solution of the following nonlinear integral system: left { textstylebegin{array}l} u(t)=lambdaint_{0}^{1}G_{alpha}(t, s)f s, v s)),ds, v(t)=muint_{0}^{1}G_{beta}(t, s g s, u(s)),ds.
