Well-posedness of a density model for a population of theta neurons.

Hadamard Well-posedness for a Family of Mixed Variational Inequalities and Inclusion Problems‎

In this paper, the concepts of well-posednesses and Hadamard well-posedness for a family of mixed variational inequalities are studied. Also, some metric characterizations of them are presented and some relations between well-posedness and Hadamard well-posedness of a family of mixed variational inequalities is studied. Finally, a relation between well-posedness for the family of mixed variatio...

Population density models of integrate-and-fire neurons with jumps: well-posedness.

In this paper we study the well-posedness of different models of population of leaky integrate-and-fire neurons with a population density approach. The synaptic interaction between neurons is modeled by a potential jump at the reception of a spike. We study populations that are self excitatory or self inhibitory. We distinguish the cases where this interaction is instantaneous from the one wher...

The Effect of Sodium Butyrate on Hippocampal Cell Damage and Apoptic Neurons Density in Cerebral Hypoxic-Ischemia Model

Introduction and aim: Histone deacetylase inhibitors (HDACi) have neuroprotective effects on amelioration of cerebral ischemic injuries. This study was investigated the effects of sodium butyrate (SB) as a HDACi hippocampal cell damage and neuronal/dark neuronal density in a rat cerebral hypoxic ischemia (HI) model. Materials and Methods: In this experimental study, 40 male Wistar rats (weight:...

Common fixed points of four maps using generalized weak contractivity and well-posedness

In this paper, we introduce the concept of generalized -contractivityof a pair of maps w.r.t. another pair. We establish a common fixed point result fortwo pairs of self-mappings, when one of these pairs is generalized -contractionw.r.t. the other and study the well-posedness of their fixed point problem. Inparticular, our fixed point result extends the main result of a recent paper ofQingnian ...

WELL- POSEDNESS OF THE ROTHE DIFFERENCE SCHEME FOR REVERSE PARABOLIC EQUATIONS