Results 81 to 90 of about 165,981,238 (172)

Measures of noncompactness and asymptotic stability of solutions of a quadratic Hammerstein integral equation

, 2011
In this paper we consider the existence of asymptotically stable solutions of a quadratic Hammerstein integral equation. This equation is investigated in the space of real functions defined, bounded and continuous on the real half-axis.
Ravi P. Agarwal, O'Regan, Donal, Józef Banaś, Donal O'Regan, Agarwal, Ravi P., Banaś, Józef   +5 more
core   +1 more source

Asymptotic behavior of solutions to functional integral equation with deviating arguments

Electronic Journal of Differential Equations, 2008
This article presents results on the existence and asymptotic behavior of solutions of a functional integral equation with deviating arguments. The proof of our main result uses the classical Schauder fixed point theorem and the technique of measures
Krishnan Balachandran, M. Diana Julie
doaj  

Existence and asymptotic stability of continuous solutions for integral equations of product type

Journal of Innovative Applied Mathematics and Computational Sciences, 2021
In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem.
Mahmoud Bousselsal, Azzeddine Bellour
doaj  

Existence of solutions for infinite systems of differential equations in spaces of tempered sequences

Electronic Journal of Differential Equations, 2017
The aim of this article is to study the existence of solutions for infinite systems of differential equations. We look for solutions in Banach tempered sequence spaces, using techniques associated with measures of noncompactness, and results from ...
Jozef Banas, Monika Krajewska
doaj  

Existence and Asymptotic Stability of Solutions of a Functional Integral Equation via a Consequence of Sadovskii’s Theorem

Journal of Function Spaces, 2014
Using the technique of measures of noncompactness and, in particular, a consequence of Sadovskii’s fixed point theorem, we prove a theorem about the existence and asymptotic stability of solutions of a functional integral equation.
Agnieszka Chlebowicz, Mohamed Abdalla Darwish, Kishin Sadarangani   +2 more
doaj   +1 more source

Measures of noncompactness and upper semi-Fredholm perturbation theorems

, 1993
We introduce the concept of a perturbation function, which allows us to give a general approach to the question of obtaining perturbation theorems for upper semi-Fredholm operators.
Fernando Galaz-Fontes
core   +1 more source

Radon–Nikodým indexes and measures of weak noncompactness

Journal of Functional Analysis, 2014
The authors introduce and study certain indices related to the Radon-Nikodým property in Banach spaces. Interesting quantitative versions of classic results in RNP are proved. Let \(E\) be a Banach space and \((\Omega,\Sigma,\mu)\) a complete probability space.
Cascales, B., Pérez, A., Raja, M.
openaire   +3 more sources

Existence of weak solutions for a boundary value problem of a second order ordinary differential equation

Boundary Value Problems, 2018
The aim of this paper is to investigate the existence of weak solutions for a boundary value problem of a second order differential equation. As the main tool, we apply a Krasnosel’skii type fixed point theorem in conjunction with the technique of ...
Shiyou Weng, Fuli Wang
doaj   +1 more source

Topological Langmuir-cyclotron wave. [PDF]

Sci Adv, 2023
Qin H, Fu Y.
europepmc   +1 more source

Nonemptyness and compactness of the solution set for fractional evolution inclusions with non-instantaneous impulses

Electronic Journal of Differential Equations, 2019
In this article, we consider the nonemptyness and compactness of the solution set for a class of fractional semilinear evolution inclusions with non-instantaneous impulses in Banach spaces. To achieve this we use fixed point theorems with semigroup
Jinrong Wang, Ahmed G. Ibrahim, Donal O'Regan   +2 more
doaj