Results 71 to 80 of about 165,981,238 (172)
Some structure theorems for Weingarten surfaces
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract Let M⊂R3$M\subset \mathbb {R}^3$ be a properly embedded, connected, complete surface with boundary a convex planar curve C$C$, satisfying an elliptic equation H=f(H2−K)$H=f(H^2-K)$, where H$H$ and K$K$ are the mean and the Gauss curvature, respectively—which we will refer to as Weingarten equation.
Angelo Benedetti
wiley +1 more source
Fixed points for $F$-expanding mappings in the sense of measures of noncompactness [PDF]
, 2023 In this article, we model with measures of noncompactness the well-known concept of F-expanding mappings given by Gornicki (Fixed Point Theory Appl 2017, 9 (2016)).
Moutawakil, Driss El +2 more
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Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures
Discrete Dynamics in Nature and Society, 2012 The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the ...
Wen-Xue Zhou, Jigen Peng
doaj +1 more source
Fractional dynamic system simulating the growth of microbe. [PDF]
Adv Differ Equ, 2021 Hadid SB, Ibrahim RW.
europepmc +1 more source
Generalized measures of noncompactness of sets and operators in Banach spaces
, 2015 New measures of noncompactness for bounded sets and linear operators, in the setting of abstract measures and generalized limits, are constructed. A quantitative version of a classical criterion for compactness of bounded sets in Banach spaces by R.
da Silva, EB, Fernandez, DL
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Abstract and Applied Analysis, 2011 We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures
Fang Li, Gaston M. N'Guérékata
doaj +1 more source
Convergence Theorems and Measures of Noncompactness for Noncompact Urysohn Operators in Ideal Spaces
Journal of Integral Equations and Applications, 2004 The author considers the following nonlinear integral equation of Urysohn type \[ A(f)x(t):= \int_S f(t, s,x(s))\,ds,\quad t\in T, \] where the integral is in the Bochner sense. He establishes an estimate for the measure of noncompactness of the Urysohn operator and proves a convergence theorem for a sequence of simpler Urysohn operators which are ...
openaire +2 more sources
, 2014 This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has many applications.
Mursaleen, Mohammad, Banaś, Józef
core +1 more source
Journal of Innovative Applied Mathematics and Computational Sciences, 2022 The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative.
Maamar Benbachir, Abdelatif Boutiara
doaj
Measures of noncompactness and their applications
, 2021 The measures of noncompactness are very useful tools in the theory of operatorequations in Banach spaces. In particular, the fixed point theorems derived fromthem have many important results. In this study, we state a general information onmeasures of noncompactness and fixed point theory. In addition, applications fromvarious topics are presented.
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