Sentence examples for suitable hypothesis from inspiring English sources

It turns out that this is not quite the end of the story, however, for it is possible to generalize Theorem 2.3 by introducing a suitable hypothesis.

We consider a Banach spaceVof functions from some manifoldMtoRn′and a functionf:M×Rn′→Rn: under suitable hypothesis, there is a homeomorphism ofVtakingZ={v∈V∣∫M f(m, v(m)) dm=0} to a closed subspace of codimensionn.

A suitable hypothesis for testing would be that zoonotic infection prevalence in baboons is positively correlated with the proportion of urban land in their habitat.

Under suitable hypotheses we prove the convergence.

under suitable hypotheses on and the additional hypothesis: (1.6).

under suitable hypotheses on and under the additional hypothesis (1.6).

Under suitable hypotheses mainly on ƒ we find an unbounded sequence of nonradial solutions if N = 4 or N ≥ 6.

hey proved that under suitable hypotheses G, S r is single-valued and firmly nonexpansive with F(S r ) = EP G).

They proved that under suitable hypotheses S r is single-valued and firmly nonexpansive with F ( S r ) = EP ( G ).

In particular, we establish Ekeland type and Caristi type results under suitable hypotheses for mappings and cyclic mappings.

We also prove that under suitable hypotheses on the external random forces the solution turns out to be unique.