Abstract
We examine a logistic equation with local and non-local reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive solutions for the steady-state equation and sub-supersolution method for the long time behavior for the time dependent problem. The results depend strongly on the size and sign of the parameters on the local and non-local terms.
Citation
Manuel Delgado. Giovany M. Figueiredo. Marcos T.O. Pimenta. Antonio Suárez. "Study of a logistic equation with local and non-local reaction terms." Topol. Methods Nonlinear Anal. 47 (2) 693 - 713, 2016. https://doi.org/10.12775/TMNA.2016.026
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