The authors introduce a new type of matrix splitting generalizing the notion of B splitting and study its relationships with nonnegativity of the Moore-Penrose inverse and the group inverse. Mathematics subject classification (2010): 15A09, 15B48.

In this paper, we consider orthogonal stability of mixed type additive and cubic functional equation of the form $$f(2x+y)+f(2x-y)-f(4x)=2f (x+y)+2f(x-y)-8f(2x) +10f(x)-2f(-x),$$ with $xbot y$, where $bot$  is orthogonality in the sense of Ratz.

Highly-effective sustainable hydrogen production from ethanol and water was achieved in a tubular dense mixed-conducting oxygen permeable membrane reactor, in which water splitting took place at the tube side of the membrane and oxidative steam reforming of ethanol occurred at the shell side simultaneously.

ewing sarcoma is about 10 % of bone tumours, in the form of lytic, sclerotic and mixed type. the lytic type erodes the whole bone in such a way that the auther would like to name it 'vanishing' type and recognition of this radiological type is of great importance from differential point of view in the study of primary and secondry tumours of bones.

The density dependent flow and transport problem in groundwater is solved numerically by means of the mixed finite element scheme for the flow equation and an innovative time-splitting technique for the transport equation. The proposed approach, of global second order convergence, is used for the simulation of the movement of radioactive brines at the Lake Karachai (Russia).