We construct a variation map on homotopy groups associated to a pencil with isolated stratified singularities on a singular space. As application, we prove a far reaching Zariski-van Kampen-Lefschetz type theorem, for higher homotopy groups of nongeneric pencils on singular (open) complex spaces.

By using functions of bounded variation we generalize the class of strongly starlike functions and related classes. The main object is to obtain characterizations and inclusion properties of these classes of functions.

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...

the aim of this paper is to study the behaviour of certain sequence of nonlinear durrmeyer operators $nd_{n}f$ of the form $$(nd_{n}f)(x)=intlimits_{0}^{1}k_{n}left( x,t,fleft( tright) right) dt,,,0leq xleq 1,,,,,,nin mathbb{n}, $$ acting on bounded functions on an interval $left[ 0,1right] ,$ where $% k_{n}left( x,t,uright) $ satisfies some suitable assumptions. here we estimate the rate...

In this paper we prove a new chain rule formula for the distributional derivative of the composite function v(x) = B(x, u(x)), where u :]a, b[→ Rd has bounded variation, B(x, ·) is continuously differentiable and B(·, u) has bounded variation. We propose an application of this formula in order to deal in an intrinsic way with the discontinuous flux appearing in conservation laws in one space va...

A supermartingale deflator (resp. local martingale deflator) multiplicatively transforms nonnegative wealth processes into supermartingales (resp. local martingales). A supermartingale numéraire (resp. local martingale numéraire) is a wealth process whose reciprocal is a supermartingale deflator (resp. local martingale deflator). It has been established in previous works that absence of arbitra...

We prove the existence of a continuous BV minimizer with C boundary value for the p-area (pseudohermitian or horizontal area) in a parabolically convex bounded domain. We extend the domain of the area functional from BV functions to vector-valued measures. Our main purpose is to study the first and second variations of such a generalized area functional including the contribution of the singula...

This paper presents summary results from an analysis of the institutional subscription prices for journals in biomedical and social sciences, for a selection of 11 publishers. Overall price, price per page, and price per point of impact factor have been examined for the period 2000–2006. Considerable variation was found between publishers both in their overall levels of price and in the rates o...