Sentence examples for associated to problem from inspiring English sources

associated to problem (1.1).

Let us introduce the following operator A in L 2 associated to problem (1.3).

Our argument uses a careful analysis of the lack of compactness of the Euler-Lagrange functional J associated to problem (1.1).

Thus, the only critical points at infinity associated to problem (28) correspond to ( y ) ∞ : = 1 K ( y ) n − 2 σ n δ ( y, ∞ ), y ∈ K +.

Let (J_{lambda}:Xrightarrowmathbb{R}) be the functional associated to problem (1) defined by J_{lambda} u)=Phi u -lambdaPsi u).

There is a correspondence between the solutions of (1.1) and the positive critical points of the Euler-Lagrange functional J associated to problem (1.1) defined in Section 2 of this paper.

Studies with a cases-to-predictors ratio > 15 were considered 'good' whereas studies with cases-to-predictors ratio ≤ 15 were rated 'poor', since this can be associated to problems of overfitting [ 19].

A common objective function associated to this problem is to find the maximum data processing throughput.

We design an algorithm that solves numerically the Euler Lagrange equations associated to the problem.

We present a new approach that is based on the introduction of a natural constraint associated to the problem.

We prove the existence of pullback attractors for the dynamical system associated to the problem under more general assumptions.