Results 21 to 30 of about 110 (93)

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

Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces [PDF]

Opuscula Mathematica, 2012
The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions.
Mouffak Benchohra, Fatima-Zohra Mostefai
doaj   +1 more source

On nonlocal problems for semilinear second order differential inclusions without compactness

Electronic Journal of Qualitative Theory of Differential Equations, 2021
Existence of mild solutions for a nonlocal abstract problem driven by a semilinear second order differential inclusion is studied in Banach spaces in the lack of compactness both on the fundamental system generated by the linear part and on the nonlinear
Tiziana Cardinali, Giulia Duricchi
doaj   +1 more source

Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions

International Journal of Differential Equations, 2018
By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.
Haide Gou, Baolin Li
doaj   +1 more source

Weak Solutions for Partial Random Hadamard Fractional Integral Equations with Multiple Delays

Discrete Dynamics in Nature and Society, 2017
We present some results concerning the existence of weak solutions for some functional integral equations of Hadamard fractional order with random effects and multiple delays by applying Mönch’s and Engl’s fixed point theorems associated with the ...
Saïd Abbas, Mouffak Benchohra, Yong Zhou, Ahmed Alsaedi   +3 more
doaj   +1 more source

Some noncompact types of fixed point results in the generalized Banach spaces with respect to the G–weak topology contexts and applications

Journal of Inequalities and Applications, 2023
This research deals with Krasnoselskii’s fixed point theorem where the entries operators do not need to be G-weakly compact and contraction. These results were obtained by using the so-called generalized measure of weak noncompactness and some user ...
Noura Laksaci, Ahmed Boudaoui, Bilel Krichen, Aiman Mukheimer, Thabet Abdeljawad   +4 more
doaj   +1 more source

Asymptotic behaviour of solutions of nonlinear delay difference equations in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 2005
We consider the second-order nonlinear difference equations of the form Δ(rn−1Δxn−1)+pnf(xn−k)=hn. We show that there exists a solution (xn), which possesses the asymptotic behaviour ‖xn−a∑j=0n−1(1/rj)+b‖=o(1), a,b∈ℝ. In this paper, we extend the results
Anna Kisiolek, Ireneusz Kubiaczyk
doaj   +1 more source

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

Generalized Schechter essential spectrum of the sum of two bounded operators involving measure of non-almost weak noncompactness

Filomat, 2023
In the present paper we introduce a new concept of measuring, called the measure of non-almost weak noncompactness. We use this measure to characterize the almost weakly compact operators and to investigate the generalized Schechter essential spectrum of the sum of two bounded linear operators.
Rabeb Aydi, Bilel Krichen
openaire   +1 more source

On the Volterra integral equation and axiomatic measures of weak noncompactness [PDF]

Mathematica Bohemica, 2001
Summary: We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.
openaire   +2 more sources