Results 51 to 60 of about 11,008 (207)

Maximal left ideals of the Banach algebra of bounded operators on a Banach space [PDF]

, 2013
We address the following two questions regarding the maximal left ideals of the Banach algebra $\mathscr{B}(E)$ of bounded operators acting on an infinite-dimensional Banach pace $E$: (Q1) Does $\mathscr{B}(E)$ always contain a maximal left ideal which
Dales, H. G., Kania, Tomasz, Kochanek, Tomasz, Koszmider, Piotr, Laustsen, Niels Jakob   +4 more
core   +2 more sources

Applications of Schauder’s Fixed Point Theorem to Semipositone Singular Differential Equations [PDF]

Journal of Applied Mathematics, 2014
We study the existence of positive periodic solutions of second-order singular differential equations. The proof relies on Schauder’s fixed point theorem. Our results generalized and extended those results contained in the studies by Chu and Torres (2007) and Torres (2007) .
Cao, Zhongwei, Yuan, Chengjun, Li, Xiuling   +2 more
openaire   +3 more sources

Why and how much the Brouwer's Fixed Point Theorem fails in noncompact setting? [PDF]

, 2010
The celebrated Brouwer\u2019s Fixed Point Theorem is dated in 1912. Its extension to compact set setting in Banach spaces due to Schauder appeared in 1930. Immediately it raised the question whether the Theorem can be extended to noncompact setting.
CASINI E., GOEBEL K.
core   +1 more source

Existence, stability and global attractivity results for nonlinear Riemann-Liouville fractional differential equations

Cubo, 2023
Existence, attractivity, and stability of solutions of a non-linear fractional differential equation of Riemann-Liouville type are proved using the classical Schauder fixed point theorem and a fixed point result due to Dhage.
Bapurao C. Dhage, John R. Graef, Shyam B. Dhage   +2 more
doaj   +1 more source

Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions

Abstract and Applied Analysis, 2014
This paper studies the existence results for nonseparated boundary value problems of fractional differential equations with fractional impulsive conditions.
Xi Fu, Xiaoyou Liu
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Boundary value problems of fractional q-difference equations on the half-line

Boundary Value Problems, 2019
In this paper, we consider the boundary value problem of a class of nonlinear fractional q-difference equations involving the Riemann–Liouville fractional q-derivative on the half-line.
Kuikui Ma, Xinhui Li, Shurong Sun
doaj   +1 more source

Relative Arbitrage Opportunities With Interactions Among N Investors

Mathematical Finance, EarlyView.
ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8095-8117, 30 May 2026.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

A note on the solvability of the nonlinear wave equation

Journal of Numerical Analysis and Approximation Theory, 2004
New existence and localization results for the nonlinear wave equation are established by means of the Schauder fixed point theorem. The main idea is to handle two equivalent operator forms of the wave equation, one of fixed point type giving the ...
Radu Precup
doaj   +2 more sources