نتایج جستجو برای: singular nonlinearities

تعداد نتایج: 62578  

Journal: :SIAM J. Control and Optimization 2015
Pierluigi Colli Jürgen Sprekels

In this paper, we investigate optimal control problems for Allen–Cahn equations with singular nonlinearities and a dynamic boundary condition involving singular nonlinearities and the Laplace– Beltrami operator. The approach covers both the cases of distributed controls and of boundary controls. The cost functional is of standard tracking type, and box constraints for the controls are prescribe...

Journal: :Applied Mathematics and Computation 2014
Ruyun Ma Ruipeng Chen Zhiqian He

where a, c : Z ® R+ are T-periodic functions, f Î C(Z × (0, ∞), R) is T-periodic with respect to t and singular at u = 0. Positive periodic solutions of second-order difference equations have been studied by many authors, see [1-6]. However, in these therein, the nonlinearities are nonsingular, what would happen if the nonlinearity term is singular? It is of interest to note here that singular ...

Journal: :The Journal of Nonlinear Sciences and Applications 2017

Journal: :Nonlinear Differential Equations and Applications NoDEA 2016

Journal: :Calculus of Variations and Partial Differential Equations 2019

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