Results 101 to 110 of about 7,154 (300)

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Space of quasicontinuous functions with the topology of uniform convergence on semi-compacta

Applied General Topology
We introduce a new set-open topology on function spaces namely the semi-compact-open topology. The topology of uniform convergence on semi-compacta lies between the topology of pointwise convergence and the topology of uniform convergence.
Neelim Kumar Barman, Debajit Hazarika
doaj   +1 more source

On a class of norms generated by nonnegative integrable distributions

Dependence Modeling, 2019
We show that any distribution function on ℝd with nonnegative, nonzero and integrable marginal distributions can be characterized by a norm on ℝd+1, called F-norm. We characterize the set of F-norms and prove that pointwise convergence of a sequence of F-
Falk Michael, Stupfler Gilles
doaj   +1 more source

The Alexandroff property and the preservation of strong uniform continuity

Applied General Topology, 2010
In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role.
Gerald Beer
doaj   +1 more source

ALMOST SURE POINTWISE CONVERGENCE OF THE CUBIC NONLINEAR SCHRODINGER EQUATION ON ̈ T 2 [PDF]

, 2022
We revisit a result from “Pointwise convergence of the Schr ̈odinger flow, E. Compaan, R. Luc`a, G. Staffilani, International Mathematics Research Notices, 2021 (1), 596-647” regarding the pointwise convergence of solutions to the periodic cubic ...
Lucà, R.
core  

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source

Pointwise asymptotic convergence of solutions for a phase separation model [PDF]

, 2005
A new technique, combining the global energy and entropy balance equations with the local stability theory for dynamical systems, is used for proving that every solution to a non-smooth temperature-driven phase separation model with conserved energy ...
Zheng, Songmu, Krejčí, Pavel
core   +1 more source

Approximate Reachability for Feedback Linearizable Systems

Optimal Control Applications and Methods, EarlyView.
The backwards reachable set for a dynamical system is the set of states for which there exists a constraint admissible trajectory that reaches a given terminal set. Conventional grid‐based approaches for computing these sets are intractable for many applications.
Vincent Liu, Chris Manzie, Peter M. Dower   +2 more
wiley   +1 more source

Pointwise estimates and Lp convergence rates to diffusion waves for p-system with damping [PDF]

, 2003
By introducing a new approximate Green function, we obtain the pointwise estimates on the solutions of Euler equations with linear frictional damping, from which we can deduce the optimal Lp(1⩽p⩽+∞) convergence rates to the nonlinear diffusion waves. The
Yang, Tong, Yang, T., Wang, W., Wang, Weike   +3 more
core   +1 more source

Asymmetric transferability of trait–environment relationships between native and exotic plant species in Singaporean forests differing in land‐use history

Oikos, EarlyView.
Functional traits allow ecologists to synthesise general rules of community assembly. In joint species distribution modelling, traits are increasingly used to explain species–environment relationships, with the intention of being able to generalise predictions to other species in other systems.
Hao Ran Lai, Kwek Yan Chong, Louise Neo, David A. Wardle, Peter A. Vesk   +4 more
wiley   +1 more source