Sentence examples for more general existence from inspiring English sources

Using fixed point techniques, the authors obtain some new and more general existence, nonexistence and multiplicity results.

In this section we give a more general existence result than Theorem 3.11 by assuming the existence of -lower and upper solutions.

Several new and more general existence and multiplicity results are derived in terms of different values of (lambda>0) and (mu>0).

Furthermore, more general existence criteria are presented in this article as well as the application of the shooting method in the study of BVPs.

As it is mentioned in Remark 4.1, Theorem 7.1 serves as an existence principle which, in combination with the method of a priori estimates, can lead to more general existence results for unbounded f and and concrete boundary conditions.

By employing the Leray-Schauder alternative, they gave more general existence theorems for ICP ( f, g, K ) and SICP ( f, g, K ) when f, g are set-valued lower semicontinuous mappings with closed convex values.

The use of relational decision tree induction to analyse the results of simulation models is a novel approach and holds the promise of learning more general co-existence rules by allowing us to vary the target field within a chosen field plan, as well as to consider completely different field plans at the same time.

Section 4 is devoted to generalizing the results on asymptotic behavior, proving under more general assumptions the existence of pullback attractors.

The pre-Socratics thus revealed difficulties in specific assumptions about the infinitely many and the infinitely small and about the relation of geometry to physical reality, as well as in more general conceptions like "existence" and "proof".

Regarding specifically the ( p, q ) -Laplacian ( p ≠ q ), Figueiredo proved, as a particular case of his main result in [1] (which was obtained for a problem involving a more general operator), the existence of a nontrivial weak solution for the following problem: { − Δ p u − Δ q u + | u | p − 2 u + | u | q − 2 u = λ f ( u ) + | u | p ⋆ − 2 u in  R N, u ≥ 0, (5).

iRhoms exemplify a more general phenomenon: the existence of conserved but catalytically inactive cognates of enzymes.