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end{aligned} From (2.15) a comparison argument shows that lim_{trightarrow+infty} I t)=0.
and by a comparison argument, we get that u > v on ( 0, x 0 ).
A comparison argument shows that R t geqslant R 0)e^{-mu t}.
The global existence of the solution to the problem (1.1) is established in Section 2, by the standard comparison argument.
Furthermore, by comparison argument, (S t)) can also grow exponentially, in contradiction with the boundedness of (S t)).
An application of the standard comparison argument yields lim_{ttoinfty}bigl(I_{1}(t),I_{2}(t bigr)= 0,0).
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Moreover, the incorporated source terms, namely the configurational volume forces, are identified by comparison arguments.
By comparison arguments, sufficient conditions are obtained for the global stability of the predator-extinction equilibrium.
By comparison arguments, we discuss the global stability of the predator-extinction of system (1.2).
Motivated by [10, 11], we base our methods on the construction of self-similar solutions and on the comparison arguments.
This chapter, on heat exchanger design, builds on the side design and comparison arguments of Chapter 4 and the performance results of Chapter 6.
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