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Then the sufficient condition of global nonexistence of solutions is given in Section 5.

We finally remark that, in the case of a more general type of reaction like the one discussed in Section 3.4, nonexistence of discontinuous steady states together with nonexistence of admissible speeds could occur, since the solution shot from the right can vanish before the admissible speed has been reached.

In Section 4, we investigate the nonexistence of positive solutions of (S - BC); and in S - BCn 5, some exandles are ginen to Section our results.

In the last section, we obtain the nonexistence of traveling wave solutions.

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

In this section, we consider the nonexistence of complicated asymptotic behavior for the solutions of Problem (1.1 - 1.2 1.1 - 1.2 initial value (u_{0}in withsigma}(matheb{R}^{N})).

In Section 6, we study the nonexistence of positive solution of boundary value problem.

Finally, in Section 4, we demonstrate the nonexistence of smooth solitary-wave solutions.

In this section, we shall verify the nonexistence of nonconstant steady states for the case of large d.

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.

In this section, we shall formulate the nonexistence of invasion traveling wave solutions of (1.2) by the theory of asymptotic spreading.