Sentence examples for greatest positive solution from inspiring English sources

Further, if the cone K is positive and normal, then the operator equation (AxBx = x) has the least and the greatest positive solution in ([a, b]), whenever (alpha M < 1), where (M = |B([a, b])| = sup{|Bx| : xin[a, b]}).

Further, if the cone K is positive and normal, then the operator equation A x + B x = x has a least and a greatest positive solution in [ a, b ].

If one denotes by the minimum of the eigenvalues of, one has, where is the maximum value between and the greater positive solution of the equation (4.1).

To be precise, the existence of a smallest positive solution, a greatest negative solution, as well as a sign-changing solution of problem (1.1) is proved by using variational and topological tools, for example, critical point theory, Mountain-Pass Theorem, and the Second Deformation Lemma.

If and, then must be a sign-changing solution because is the greatest negative solution and is the smallest positive solution of (1.1), which proves the theorem in this case.

Hence, m is the greatest positive integer ≤t such that system (2) has a unique solution.

(ii) If the only positive solution (T_2) to Eq. (15) is greater than or equal to (M-N), then (T_2) is the only optimal solution to (Pi _2(T|N)) in Eq. (5).

The positive solution apparently described normal electrons.

"I expect we can come to a positive solution.

"We've been able to reach a positive solution," he said in a telephone interview.

Anything that can decrease the number of AIDS cases in the world is a positive solution.