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Stability of Periodic or Almost Periodic Solutions
2018In this chapter we study the asymptotic behavior of solutions as \({t } \rightarrow + \infty \), mainly in the case where \({h:}\ \mathbb {R} \rightarrow {H}\) is periodic or more generally almost periodic. As already mentioned in Remark 8.4.2, essentially nothing is known in this direction if f is non-linear.
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Ukrainian Mathematical Journal, 2015
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International Journal of Biomathematics, 2011
The stability and almost periodic solution for generalized logistic almost periodic system with infinite and discrete delays is considered. Some sufficient conditions for the boundedness of the system are obtained to guarantee that the system is globally asymptotically stable.
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The stability and almost periodic solution for generalized logistic almost periodic system with infinite and discrete delays is considered. Some sufficient conditions for the boundedness of the system are obtained to guarantee that the system is globally asymptotically stable.
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Existence Theorems for Periodic Solutions and Almost Periodic Solutions
1975First of all, we shall state some fixed point theorems without proofs. The following theorem is due to Brouwer. For the proof, see [5].
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Small amplitude weak almost periodic solutions for the 1d NLS
Duke Mathematical Journal, 2023Jessica Elisa Massetti +2 more
exaly
Discontinuous Almost Periodic Solutions
2019The research of discontinuous almost periodic solutions is much more complicated than that for the continuous counterpart. It requests significant development of not only properties for the functions themselves, but also new conditions for the impulsive systems, which suppose to admit the solutions.
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Existence of periodic solutions and almost periodic solutions
1991Yoshiyuki Hino +2 more
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Almost-periodic solutions to single population models with almost-periodic environment
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