Sentence examples for both simultaneous and non-simultaneous from inspiring English sources

Furthermore, we get a result on the coexistence of both simultaneous and non-simultaneous blow-ups.

In this section, we consider the coexistence of both simultaneous and non-simultaneous blow-ups.

(1.8) then there may occur both simultaneous and non-simultaneous blow-ups.

In Section 4, we consider the coexistence of both simultaneous and non-simultaneous blow-ups; Theorem 1.3 is proved.

In Section 3, we consider the coexistence of both simultaneous and non-simultaneous blow-ups, Theorems 1.7, 1.8 are proved.

If and, then both simultaneous and non-simultaneous quenching may occur in (1.1) depending on the initial data.

Next, we characterize the ranges of parameters to distinguish simultaneous and non-simultaneous quenching.

Recently, the simultaneous and non-simultaneous blow-up problems of parabolic systems have been widely considered by many authors [4 14].

Recently, the simultaneous and non-simultaneous quenching for problem (1.4), and what is related to it, was studied by many authors (see [4 7] and references therein).

Inspired by the above work, we will focus on the simultaneous and non-simultaneous blow-up conditions to system (1.1), and list our main results as follows.

In particular, if we choose, then we obtain that the ranges of parameters to distinguish simultaneous and non-simultaneous quenching coincide with the problem (1.3) (see [1, 2]).