Results 81 to 90 of about 789 (128)

An Innovative Approach to the Product of k‐Hybrid Functional Integral Equation

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this paper, our study focuses on exploring the solutions of a product of k‐hybrid functional integral equation which is characterized by multiple delays. We prove the existence of continuous, well‐defined, and bounded solutions on the semi‐infinite interval.
A. M. A. El-Sayed, Sh. M. Al-Issa, Deepali   +2 more
wiley   +1 more source

Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions

Abstract and Applied Analysis, 2012
Using Hausdorff measure of noncompactness and a fixed-point argument we prove the existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal initial conditions u′(t)=Au(t)+∫0tB(t-s)u(s)ds+f(t,u(t)), t∈[0,1], u(0)=g(u),
Carlos Lizama, Juan C. Pozo
doaj   +1 more source

On solvability of the impulsive Cauchy problem for integro-differential inclusions with non-densely defined operators. [PDF]

Philos Trans A Math Phys Eng Sci, 2021
Benedetti I, Obukhovskii V, Taddei V.
europepmc   +1 more source

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  

Fixed points of the Barnsley-Hutchinson operators induced by hyper-condensing maps

Le Matematiche, 2005
The aim of this note is to show that the Barnsley-Hutchinson operator, induced by either single h-bounded hyper-condensing map or a compact infinite family of such maps, admits a maximal fixed point and global attractor.Under suitable continuity ...
Krzysztof Leśniak
doaj  

Existence theorems for differential inclusions with nonconvex right hand side

International Journal of Mathematics and Mathematical Sciences, 1986
In this paper we prove some new existence theorems for differential inclusions with a nonconvex right hand side, which is lower semicontinuous or continuous in the state variable, measurable in the time variable and takes values in a finite or infinite ...
Nikolaos S. Papageorgiou
doaj   +1 more source

The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1<β<2 $1<\beta<2$

Boundary Value Problems, 2019
This paper deals with the existence of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order ...
Yuchen Guo, Xiao-Bao Shu, Yongjin Li, Fei Xu   +3 more
doaj   +1 more source

Quasilinear nonlocal integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2008
In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff's measure of noncompactness.
Jin Zhang, Gang Li, Qixiang Dong
doaj  

Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses

Boundary Value Problems
The aim of this manuscript is to analyze the stability for fractional neutral stochastic integro-differential delay systems (FNSIDDSs) with impulses driven by Poisson jumps.
Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan, Dimplekumar Chalishajar, Dumitru Baleanu   +4 more
doaj   +1 more source

Applications of Hausdorff measure of noncompactness in the spaces of generalized means [PDF]

Mathematical Inequalities & Applications, 2013
M. Mursaleen, Abdullah K. Noman
openaire   +1 more source