Sentence examples similar to nonexistence of established from inspiring English sources

Moreover, the impact of the disturbance parameters on the existence and nonexistence of positive solutions is established.

Finally, when the wave speed is smaller than the threshold, the nonexistence of traveling wave solutions is established by the theory of asymptotic spreading developed by Jin and Zhao [34].

The early study of Laplacian elliptic equation with critical Sobolev exponent was Pohozaev [1], the author established the nonexistence of nontrivial solution to the Dirichlet problems when Ω is a star-shaped domain with respect to the origin.

In this section, we will establish the nonexistence of the solutions to (1.6) by using the method of moving planes base up in the positive (x_{n}) direction.

Our main results establish the nonexistence of pathwise arbitrage opportunities in classes of strategies containing these Delta hedging strategies and under relatively mild conditions on the local volatility matrix.

They established global existence and nonexistence of solutions, and they discussed the blow-up properties of solutions.

Scientists have also surveyed the area and found nothing, though the definitive nonexistence of a Mussie-like creature is difficult to establish because some of the trenches in Muskrat Lake extend to over 60 metres.

In this section we establish the existence and nonexistence of positivesteady states of (1.2).

In Section 4, we establish the existence and nonexistence of positive solutions for problem (1.1).

With the help of the properties of the Green function and the Guo Krasnosel'skii fixed-point theorem on cones, we establish the existence and nonexistence of positive solutions.

In this paper, we shall establish the existence and nonexistence of (1.3) with (1.4) or (1.3) with (1.5), and we present the corresponding mathematical results by the idea in [20].