Sentence examples for behavior of its solutions from inspiring English sources

So, it is somewhat easier to analyze global behavior of its solutions.

In this paper, we propose another discrete version of (1.1) and study asymptotic behavior of its solutions.

The main goal of this section is to study the well-posedness of variational problem (5.5) and describe the asymptotic behavior of its solutions as parameter θ tends to zero.

For the case when (a_{n}), (b_{n}), (alpha _{n}), (beta _{n}), (nin mathbb {N}_{0}), are constant, the long-term behavior of its solutions is investigated in detail.

The long-term behavior of its solutions is studied in detail for the case of constant (a_{n}), (b_{n}), (alpha _{n}) and (beta _{n}), (nin mathbb {N}_{0}).

That is why, in order to derive optimality conditions in the framework of more appropriate assumptions, we provide in Section 6 the analysis of the well-posedness of variational problem (1.5) and describe the asymptotic behavior of its solutions as parameter θ tends to zero.

Kiguradze posed the problem on the asymptotic behavior of its positive solutions such that lim x → x ∗ − 0 y ( x ) = ∞.

In the existing literature, a lot of work has been done to prove the existence of the periodic solutions, such as [1 10] and the references given therein, but there is little information as regards the dynamics behavior of its periodic solution.

Namely, for the case when the coefficients of equation (1) are periodic, we describe the long-term behavior of its non-periodic solutions when (nto-infty) as well as when (nto+infty).

For a bounded and convex -sublattice of a Hilbert lattice, the behavior of its maximum and minimum solutions to a problem should be noticeable.

In Section 3, we discuss the asymptotic behavior of solutions in the solutions M + and M −.