Sentence examples for behavior and nonexistence of from inspiring English sources

4, the asymptotic behavior and nonexistence of traveling wave solutions are presented.

In these papers, existence, boundedness, asymptotic behavior, and nonexistence of global solutions for problem (1.8)–(1.10) were studied.

In the present paper, motivated by [19] and [20], we study the existence and nonexistence of positive solutions for problem (1) with the asymptotic behavior assumptions (S3) of f at zero and infinity.

They at first gave some conditions about the existence and nonexistence of global solutions to (1.2), and then studied the large time behavior for the global solutions.

The aim of this article is to study the long-time behavior of solutions to systems (1.1) and provide a simple criterion of the classification of global existence and nonexistence of solutions for general powers k i m i, indices m ij, and number n. Define.

Existence and nonexistence of proper relaxed steady states are discussed.

We determine conditions on the coefficients that guarantee existence and nonexistence of positive solutions.

Then, by using them, he obtained some results of the existence and nonexistence of global solutions.

In Section 1, we provide the existence and nonexistence of solutions of system (1).

In the nonlinear case, sufficient conditions for the existence and nonexistence of positive solutions are obtained.

Some a priori estimates and the existence, multiplicity and nonexistence of positive solutions are obtained.