Sentence examples similar to minimal existence of from inspiring English sources

This is the minimal framework to guarantee existence of the minimizers at each step, and to get estimates as in (2.11) providing the existence of a limit curve.

The largest minimal metabolism we found has n = 391 reactions, and while we cannot exclude the existence of minimal metabolisms above n = 400 with certainty, such potential metabolisms would be increasingly rare at large n.

We show that the existence of "minimal invariant sets" for A yields hyperinvariant subspaces.

We derive a sufficient condition for the existence of minimal maps.

This doesn't require the existence of minimal parts of clay.

We still observe a low existence of minimal k-cores for sparse graphs with (p = 0.1).

Now we discuss the existence of minimal and maximal mild solutions for IVP (1.1).

From Theorem 4.1, T is upper semi-continuous on P. Following the proof of Theorem 3.2 for the part of the existence of minimal element of essential sets, we obtain the following result.

In this work we present a characterization to the existence of minimal elements in partially ordered sets in terms of fixed point of multivalued maps, see [2].

To establish the existence of minimal nonnegative solution in of problem (1.5), let us list the following assumptions, which will stand throughout this paper.

Based on the cone theory and monotone iterative technique, we establish the existence of minimal nonnegative solution and iteration of positive solutions for such a boundary value problem.