Sentence examples for behavior of their solutions from inspiring English sources
Although max-type difference equations are relatively simple in form, it is unfortunately extremely difficult to understand thoroughly the behavior of their solutions.
Although difference equations are very simple in form, it is extremely difficult to understand throughly the global behavior of their solutions, for example, see Refs. [12 34].
Although difference equations and a system of difference equations are sometimes very simple in their forms, they are extremely difficult to understand through the behavior of their solutions.
Some methods for the study of the long-term behavior of their solutions have used directly or indirectly the equations and systems which can be solved.
The invariant curve of difference equations often plays a critical role in studying the stability behavior of their solutions; see [5, 15, 16].
Although max-type difference equations are relatively simple in form, it is unfortunately extremely difficult to understand thoroughly the behavior of their solutions; see, for example, [1 20] and the relevant references cited therein.
For example, many solvable difference equations are essentially solved by using it (see [15 17]), and by using such obtained formulas the behavior of their solution can be studied (see, for example, recent papers [13, 14]; see also many related references therein).
Although difference equations are very simple in form, it is extremely difficult to understand thoroughly the behaviors of their solution [25].
We would like to point out that for the equations and systems in [16 18, 27] only long-term behavior of their positive solutions are studied.
The precise control of the formation of stimuli-sensitive sequences (block or graft) as part of copolymer architectures is fascinating because of the remarkable phase behavior of their aqueous solutions.
