P-adic continuously differentiable functions of several variables.
Parametric and Non-Parametric Minima.
Parametric differentiation
Parametric extension of the Poincaré theorem
Parametric monotone generalized equations in reflexive Banach spaces.
Parametric two-point integral inequalities for -time differentiable functions with applications.
Parametrization of Carathéodory multifunctions
Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions
We consider a multifunction , where T, X and E are separable metric spaces, with E complete. Assuming that F is jointly measurable in the product and a.e. lower semicontinuous in the second variable, we establish the existence of a selection for F which is measurable with respect to the first variable and a.e. continuous with respect to the second one. Our result is in the spirit of [11], where multifunctions of only one variable are considered.
Partial Differentiation, Differentiation and Continuity on n -Dimensional Real Normed Linear Spaces
In this article, we aim to prove the characterization of differentiation by means of partial differentiation for vector-valued functions on n-dimensional real normed linear spaces (refer to [15] and [16]).
Partial Differentiation of Vector-Valued Functions on n -Dimensional Real Normed Linear Spaces
In this article, we define and develop partial differentiation of vector-valued functions on n-dimensional real normed linear spaces (refer to [19] and [20]).
Partial Hölder continuity of the gradient of solutions of some nonlinear elliptic systems
Partial regularity of minimizers of quasiconvex integrals
Partial sums of functions of bounded turning.
Partial sums of functions of bounded turning.
Parties admissibles d'un espace de Banach. Applications
Passage of the limit through the double Denjoy integral.
Path differentiation: further unification
A. M. Bruckner, R. J. O'Malley, and B. S. Thomson introduced path differentiation as a vehicle for unifying the theory of numerous types of generalized differentiation of real valued functions of a real variable. Part of their classification scheme was based on intersection properties of the underlying path systems. Here, additional light is shed on the relationships between these various types of path differentiation and it is shown how composite differentiation and first return differentiation...
Pathological functions on Puiseux series ordered fields and others.
Path-wise solutions of stochastic differential equations driven by Lévy processes.
In this paper we show that a path-wise solution to the following integral equationYt = ∫0t f(Yt) dXt, Y0 = a ∈ Rd,exists under the assumption that Xt is a Lévy process of finite p-variation for some p ≥ 1 and that f is an α-Lipschitz function for some α > p. We examine two types of solution, determined by the solution's behaviour at jump times of the process X, one we call geometric, the other forward. The geometric solution is obtained by adding fictitious time and solving an associated...
p-convex iteration groups