We introduce, and study, the regularity normality in ideal bitopological spaces, absent subject literature. Our definitions have advantage of using only open sets two underlying topologies. These new concepts represent generalizations Kelly’s pairwise normality. The extension T0, T1 T2 axioms to these spaces is due Caldas et al.

This paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). In this problem q(x), d, a , b are real, qin L^2(0,pi), din(0,pi) and lambda is a parameter independent of x. By defining a new...

We consider a class of Gibbs measures on self-affine Sierpinski carpets and perform the multifractal analysis of its elements. These deterministic measures are Gibbs measures associated with bundle random dynamical systems defined on probability spaces whose geometrical structure plays a central rôle. A special subclass of these measures is the class of multinomial measures on Sierpinski carpet...

We construct a linear extension operator Π that extends a function u defined on a Sierpinski gasket S which satisfies the Hölder estimate |u(x)− u(y)| ≤ C0|x− y| for all x, y on S, to a larger domain Ω ⊆ R. The extension function Πu is defined everywhere in Ω, is Hölder continuous everywhere in Ω, corresponds with u at every point on S and satisfies the estimate |Πu|Ω,β ≤ C‖u‖S,β with a constan...

This paper deals with the aerial survey of a closed region using Space-Filling curve, particularly Sierpinski curve. The specified is triangulated, and curve used to explore each triangular region. entire may have one or more obstacles. An algorithm presented which suggests evasive maneuver if an obstacle detected. online; that is, it does not require prior knowledge location obstacles can be w...