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A novel method for solving a coagulation-fragmentation model with growth

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Guiem, R.
Noutchie, S.C. Oukouomi

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SAS International Publications

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The global solvability of a nonlinear non-autonomous integro-differential equation describing coagulation-fragmentation processes with growth is investigated using a modified monotone method. Existence and uniqueness results are obtained thanks to Gronwall inequality. In particular, a new concept of upper-lower solution is introduced and the comparison principle established. A novel method for solving a coagulation-fragmentation model with growth.

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Guiem, R. & Noutchie, S.C.O. 2016. A novel method for solving a coagulation-fragmentation model with growth. Journal of Algebra and Applied Mathematics, 14(2):79-100. [http://sasip.net/jaads_index.html]

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