Results 21 to 30 of about 173,323,789 (179)

Existence of bounded solutions for second order neutral difference equations via measure of noncompactness

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
doaj   +1 more source

Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces [PDF]

open access: yesMathematica Bohemica, 2017
We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem ...
Djamila Seba
doaj   +1 more source

Existence of solutions of infinite systems of nonlinear Volterra integral equations on a Fréchet space

open access: yesپژوهش‌های ریاضی, 2021
In this paper, we introduce a Fréchet space  and define a measure of noncompactness on it.  For credit and the application to our theorems, in the application section of this paper, we present a theorem which shows the existence of solution of infinite ...
Hogat Allah Amiri kayvanloo   +2 more
doaj  

Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2010
The aim of this paper is to investigate a class of boundary value problem for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra   +2 more
doaj   +1 more source

Remarks on Various Measures of Noncompactness

open access: yesJournal of Mathematical Analysis and Applications, 1993
Let \(\Omega\) be a bounded set in a metric space \(M\). Denote \(\alpha(\Omega)=\inf\{d>0:\Omega\text{ can be covered by a finite number of sets of diameter at most }d\},\) \(\beta(\Omega)=\inf\{d>0:\Omega\text{ has a finite } d\text{-net in }M\},\) \(\delta(\Omega)=\sup\{\alpha(\Omega'):\Omega'\subseteq\Omega\text{ and } \Omega'\text{ is an } \alpha ...
openaire   +2 more sources

On modulus of noncompact convexity for a strictly minimalizable measure of noncompactness

open access: yesGulf Journal of Mathematics, 2014
In this paper we consider modulus of noncompact convexity ΔX,φ associated with the strictly minimalizable measure of noncompactness φ. We also give some its properties and show its continuity on the interval [0, φ(BX)).
Rekic-Vukovic, Amra   +2 more
openaire   +2 more sources

A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS

open access: yesDemonstratio Mathematica, 1993
The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
openaire   +2 more sources

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Molecularly Regulated Dynamic Interfaces in 3D/2D Perovskites Enabled by Functional Pyridinium Ionic Liquids

open access: yesSmall, EarlyView.
1‐butyl‐4‐methylpyridinium tetrafluoroborate (BMPyBF4) interacts with excess PbI2 during film formation, driving the formation of a low‐dimensional perovskite phase and enabling the self‐organization of a 3D/2D interfacial structure. This molecularly regulated interface suppresses defect‐mediated recombination and facilitates interfacial charge ...
Bulent Alkan   +9 more
wiley   +1 more source

A MEASURE OF NONCOMPACTNESS IN SEQUENCE BANACH SPACES

open access: yesDemonstratio Mathematica, 1995
A measure of noncompactness is introduced and shown to be equivalent to the Hausdorff measure of noncompactness.
Martinón, Antonio, Sadarangani, Kishin
openaire   +2 more sources

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