Results 11 to 20 of about 11,069 (184)
On the Two-Dimensional Version of the Sperner Lemma and Brouwer’s Theorem
Annales Mathematicae Silesianae, 2022 In this work the Brouwer fixed point theorem for a triangle was proved by two methods based on the Sperner Lemma. One of the two proofs of Sperner’s Lemma given in the paper was carried out using the so-called index.
Barcz Eugeniusz
doaj +1 more source
Journal of Function Spaces, 2022 In this paper, the existence and uniqueness of solutions for a nonlinear fractional differential equation with a two-point boundary condition in a Banach space are investigated by using the contraction mapping principle and the Brouwer fixed-point ...
Shayma Adil Murad
doaj +1 more source
Using Brouwer’s Fixed Point Theorem [PDF]
, 2017 Brouwer's fixed point theorem from 1911 is a basic result in topology - with a wealth of combinatorial and geometric consequences. In these lecture notes we present some of them, related to the game of HEX and to the piercing of multiple intervals.
Björner, Anders +2 more
openaire +2 more sources
On Krasnoselskii's Cone Fixed Point Theorem
Fixed Point Theory and Applications, 2008 In recent years, the Krasnoselskii fixed point theorem for cone maps and its many generalizations have been successfully applied to establish the existence of multiple solutions in the study of boundary value problems of various types.
Man Kam Kwong
doaj +2 more sources
Connected choice and the Brouwer fixed point theorem [PDF]
Journal of Mathematical Logic, 2019 We study the computational content of the Brouwer Fixed Point Theorem in the Weihrauch lattice. Connected choice is the operation that finds a point in a non-empty connected closed set given by negative information. One of our main results is that for any fixed dimension the Brouwer Fixed Point Theorem of that dimension is computably equivalent to ...
Vasco Brattka +3 more
openaire +3 more sources
Robust Stability of DC Microgrid Under Distributed Control
IEEE Access, 2022 Compared with AC microgrid, DC microgrid has attracted more and more attention due to their high reliability and simple control. In this paper, we analyze the existence and stability of equilibrium of DC microgrid under distributed control.
Zhangjie Liu, Jiawei Li
doaj +1 more source
Stationary solutions for the Cahn-Hilliard equation [PDF]
, 1998 We study the Cahn-Hilliard equation in a bounded domain without any symmetry assumptions. We assume that the mean curvature of the boundary has a nongenerate critical point.
Wei, J, Winter, M
core +2 more sources
The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We consider the Dirichlet problem \begin{equation*} - \Delta^{K_p}_{p(x)} u(x) - \Delta^{K_q}_{q(x)} u(x) = f(x,u(x), \nabla u(x)) \quad \mbox{in }\Omega, \quad u\big{|}_{\partial \Omega}=0, \end{equation*} driven by the sum of a $p(x ...
Giovany Figueiredo, Calogero Vetro
doaj +1 more source
Fixed Point Theory and Applications, 2004 We propose, in the general setting of topological spaces, a definition of two-dimensional oriented cell and consider maps which possess a property of stretching along the paths with respect to oriented cells. For these maps, we prove some theorems on the
Fabio Zanolin, Duccio Papini
doaj +2 more sources
Discrete fractional order two-point boundary value problem with some relevant physical applications
Journal of Inequalities and Applications, 2020 The results reported in this paper are concerned with the existence and uniqueness of solutions of discrete fractional order two-point boundary value problem.
A. George Maria Selvam +4 more
doaj +1 more source