On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs

SG Georgiev, K Mebarki - Applied general topology, 2021 - polipapers.upv.es
The aim of this work is two fold: first we extend some results concerning the computation of
the fixed point index for the sum of an expansive mapping and a $ k $-set contraction …

Existence of solutions for impulsive wave equations

SG Georgiev, K Zennir, K Bouhali, Y Altayeb… - AIMS …, 2023 - aimspress.com
We study a class of initial value problems for impulsive nonlinear wave equations. A new
topological approach is applied to prove the existence of at least one and at least two …

[图书][B] Fixed point theorems with applications

K Mebarki, S Georgiev, S Djebali, K Zennir - 2023 - taylorfrancis.com
As a very important part of nonlinear analysis, fixed point theory plays a key role in
solvability of many complex systems from mathematics applied to chemical reactors, neutron …

Multiple positive fixed points for the sum of expansive mappings and k‐set contractions

L Benzenati, K Mebarki - Mathematical Methods in the Applied …, 2019 - Wiley Online Library
In this work, we are concerned with the existence of multiple positive fixed points for the sum
of an expansive mapping with constant h> 1 and ak‐set contraction when 0≤ k< h− 1. In …

A new topological approach to target the existence of solutions for nonlinear fractional impulsive wave equations

SG Georgiev, K Bouhali, K Zennir - Axioms, 2022 - mdpi.com
This paper considers a class of fractional impulsive wave equations and improves a
previous results. In fact, this paper adopts a new topological approach to prove the existence …

[PDF][PDF] On the fixed point index for sums of operators

S Benslimane, S Djebali, K Mebarki - Fixed Point Theory, 2022 - academia.edu
We have obtained some new Krasoneslskii type fixed point theorems for the sum of two
operators T+ F, where T is expansive with constant h> 1 and IF is a k-set contraction with k< …

[PDF][PDF] Existence of solutions for a class of boundary value problems for weighted p (t)-Laplacian impulsive systems

K Khemmar, K Mebarki, S Georgiev - Filomat, 2024 - pmf.ni.ac.rs
In this paper we investigate a class of boundary value problems for weighted p (t)-Laplacian
impulsive systems. We prove existence of at least one solution and existence of at least one …

[PDF][PDF] Multiple nonnegative solutions for a class of fourth-order BVPs via a new topological approach

S Benslimane, S Georgiev, K Mebarki - Advances in the Theory of …, 2022 - dergipark.org.tr
In this paper, we study a class of fourth-order boundary value problems with integral
boundary conditions. The nonlinearity may have time-singularity and change sign …

Existence of solutions for a class of first order boundary value problems

A Mouhous, SG Georgiev, K Mebarki - Archivum Mathematicum, 2022 - dml.cz
In this work, we are interested in the existence of solutions for a class of first order boundary
value problems (BVPs for short). We give new sufficient conditions under which the …

Existence of solutions for two-point integral boundary value problems with impulses

SG Georgiev, S Tikare, V Kumar - Qualitative Theory of Dynamical …, 2023 - Springer
In this paper, we investigate the existence of at least one solution and at least two
nonnegative solutions of impulsive differential equations with the two-point integral …