Sentence examples for nonexistence of a solution from inspiring English sources

Moreover, we present the existence and nonexistence of a solution to the second problem in terms of the parameter λ by the properties of the Green function and the Guo-Krasnosel'skii theorem.

Even if we would just assume without any immediate physical motivation that the noise term in (43) is purely additive ϵ d W t ( x ), there is a problem to apply Kramers' law since we do not have a structure like in (22) with G = Id as W t ( x ) is a Q-Wiener process defined in (5) and driving space-time white noise in (4) is particularly excluded due to the nonexistence of a solution.

Moreover, they also studied the nonexistence of a positive solution.

Moreover, the nonexistence of a positive solution is also studied.

Furthermore, the interval of α about the nonexistence of a positive solution is also given.

Nonexistence of a positive solution was also proved when a ≤ λ 1.

First, we show the nonexistence of a positive solution of (1.6) for small λ.

In this section we study the nonexistence of a global solution for the initial value problem (1).

In this section, we give some sufficient conditions for the nonexistence of a positive solution to boundary value problem (1.2).

The nonexistence of a positive solution boundary value problem for a class nonlinear fractional difference equations with 3 < α ≤ 4 is considered in terms of parameter.

The nonexistence of a global solution for nonlinear partial differential equations, which arises from the Liouville type theorem of harmonic function, is a nonlinear Liouville type theorem.