We introduce a stochastic version of the classical Perron’s method to construct viscosity solutions to linear parabolic equations associated to stochastic differential equations. Using this method, we construct easily two viscosity (sub and super) solutions that squeeze in between the expected payoff. If a comparison result holds true, then there exists a unique viscosity solution which is a ma...

the first geometric-arithmetic index was introduced in the chemical theory as the summationof 2 du dv /(du  dv ) overall edges of the graph, where du stand for the degree of the vertexu. in this paper we give the expressions for computing the first geometric-arithmetic index ofhexagonal systems and phenylenes and present new method for describing hexagonal systemby corresponding a simple graph...

Squeeze casting is a process that can produce the highest quality castings. In current study, effect of settings and in-die conditions on rejection rates studied through full-scale experimental study. Factors affecting as-cast part were investigated in study from two different viewpoints. The first was to investigate influence rate, second understand die effects rate better reasons sensitivity ...

Adjunct Hexagonal Array Token Petri Net Structures (AHPN) are recently introduced hexagonal picture generating devices which extended the Hexagonal Array Token Petri Net Structures . In this paper we consider AHPN model along with a control feature called inhibitor arcs and compare it with some expressive hexagonal picture generating and recognizing models with respect to the generating power.

Double hexagonal chains” can be considered as benzenoids constructed by successive fusions of successive naphthalenes along a zig-zag sequence of triples of edges as appear on opposite sides of each naphthalene unit. In this paper, we discuss the numbers of k-matchings and k-independent sets of double hexagonal chains, as well as Hosoya indices and Merrifield–Simmons indices, and obtain some ex...

This paper introduces hexagonal shape sensors that is a meander and mesh type. Modelling, simulation and development of Hexagonal Sensor and the results are discussed in this paper. The characteristics of hexagonal spiral inductor and interdigital capacitor are determined. The hexagonal spiral inductor is a new electronic sensor that can be used for various measurements that produces magnetic f...