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Escape solutions headed to my mental back door and a new set of thoughts replaced them: "From Cali, I can go to Buga, stay overnight at the Buga Hostel, then on to Ibagué the next day, where I can catch a taxi back home to Líbano.
The following properties of damped and escape solutions are important for the existence of homoclinic solutions.
Theorem 4.2 (On the existence of escape solutions).
Now, we provide other properties of solutions important in the investigation of escape solutions.
Let be the set of all such that the corresponding solutions of (1.1), (1.10) are escape solutions.
In Section 4 of this paper we prove that also the set of escape solutions of problem (1.1), (1.6) is nonempty for each sufficiently small.
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This radical collaboration leads the way to finding answers to challenges that have so far escaped solution.
Theorem 4.9 (on escape solution).
We call such solution an escape solution.
If is an escape solution, then.
Then is called an escape solution.
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