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
Peano Baker series convergence for matrix-valued functions of bounded variation.
Peano type theorem for random fuzzy initial value problem
In this paper we consider the random fuzzy differential equations and show their application by an example. Under suitable conditions the Peano type theorem on existence of solutions is proved. For our purposes, a notion of ε-solution is exploited.
Periodic functions with difference functions
Periodic orbits of maps with an infinite number of partition points.
Periodic oscillation of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients.
Periodic points and bifurcation of one-dimensional maps
Periodic points, multiplicities, and dynamical units.
Periodic points of a continuous map of the interval
Periodicity, almost periodicity for time scales and related functions
In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is dependent on an translation direction. Also some new results on periodic and changing-periodic time scales are presented.
Perron integral, Perron product integral and ordinary differential equations
Perron type integration on -dimensional intervals as an extension of integration of stepfunctions by strong equiconvergence
Perron-type integration on -dimensional intervals and its properties
Perturbations of an Ostrowski type inequality and applications.
Petrova elementární metoda vyšetřování Fourierových řad