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The main results will be obtained in Section 3.
The existence results will be obtained in Section 3.
Finally, as applications, the corresponding results of the oscillation and variation operators related to the commutators of Hilbert transform and Hermitian Riesz transforms as well as the λ-jump operators and the number of up-crossing for these operators will be obtained in Section 5.
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Several consequences are obtained in Section 4.
Sufficient conditions on persistence in mean and extinction for one-species are obtained in Section 3.
Further, the existence and local asymptotical stability of endemic equilibrium are obtained in Section 4.
The existence of multiple positive solutions is obtained in Section 4.
New existence and uniqueness results for the problem (1.1 - 1.2 1.1 - 1.2ined in Section 2.
Finally, optimality results for multiobjective optimization problems are obtained in Section 4.
Some sufficient conditions for the linear generalized outer synchronization are obtained in Section 3.
The continuity results of eigenvalues and eigenfunctions are obtained in Section 3.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com