Results 51 to 60 of about 98 (93)

Topological properties of the solution set and T-controllability for second-order neutral evolution equations with delay

Electronic Journal of Differential Equations
In this article we study the topological properties of the mild solution set and T-controllability for a class of second-order neutral evolution equations with finite delay. Firstly, we establish that the set of mild solution is nonempty and compact, via
Tiantian Wang, Hongxia Fan
doaj   +3 more sources

Measures of Noncircularity and Fixed Points of Contractive Multifunctions

Fixed Point Theory and Applications, 2010
In analogy to the Eisenfeld-Lakshmikantham measure of nonconvexity and the Hausdorff measure of noncompactness, we introduce two mutually equivalent measures of noncircularity for Banach spaces satisfying a Cantor type property, and apply them to ...
Marrero Isabel
doaj  

An Extension of Darbo’s Theorem and Its Application

Abstract and Applied Analysis, 2014
Here, some extensions of Darbo fixed point theorem associated with measures of noncompactness are proved. Then, as an application, our attention is focused on the existence of solutions of the integral equation x(t)=F(t,f(t,x(α1(t)),  x(α2(t))), ((Tx)(t)/
A. Samadi, M. B. Ghaemi
doaj   +1 more source

Approximate Controllability and Ulam Stability for Second‐Order Impulsive Integrodifferential Evolution Equations with State‐Dependent Delay

International Journal of Differential Equations, Volume 2024, Issue 1, 2024.
In this paper, we shall establish sufficient conditions for the existence, approximate controllability, and Ulam–Hyers–Rassias stability of solutions for impulsive integrodifferential equations of second order with state‐dependent delay using the resolvent operator theory, the approximating technique, Picard operators, and the theory of fixed point ...
Abdelhamid Bensalem, Abdelkrim Salim, Mouffak Benchohra, Gaston N’Guérékata, Amar Nath Chatterjee   +4 more
wiley   +1 more source

Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity

Electronic Journal of Qualitative Theory of Differential Equations, 2018
The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Existence and local attractivity results for a nonlinear functional integral equation

Journal of Inequalities and Applications
In this paper, we prove the existence and local attractivity results for a nonlinear functional integral equation. The equation is considered in the Banach space of real valued functions that are continuous and bounded on R + $\mathbb{R}_{+}$ .
Feng Zhang
doaj   +1 more source

On the PC $\mathcal{PC}$-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness

Boundary Value Problems, 2019
In this paper, we deal with the existence results for mild solutions of abstract fractional evolution equations with non-instantaneous impulses on an unbounded interval.
R. Saadati, E. Pourhadi, B. Samet
doaj   +1 more source

Boundary Value Problems for Hybrid Caputo Fractional Differential Equations

Mathematics, 2019
In this paper, we discuss the existence of solutions for a hybrid boundary value problem of Caputo fractional differential equations. The main tool used in our study is associated with the technique of measures of noncompactness.
Zidane Baitiche, Kaddour Guerbati, Mouffak Benchohra, Yong Zhou   +3 more
doaj   +1 more source

Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions. [PDF]

J Dyn Differ Equ, 2022
Huynh H, Kloeden PE, Pötzsche C.
europepmc   +1 more source

Existence and Uniqueness of Mild Solutions for Fractional Impulsive Evolution Equations of Mixed Type with Nonlocal and Delay Conditions in Banach Spaces

Fractal and Fractional
In this paper, based on the Schauder fixed point theorem, the (generalized) Darbo fixed point theorem, and the (generalized) Banach contraction mapping principle, we study the mixed-type fractional impulse evolution equation with non-local and delay ...
Limin Guo, Lishan Liu, Haibo Gu
doaj   +1 more source