A vector version of the fixed point theorem of cone compression and expansion for a sum of two operators.

L Benzenati, K Mebarki, R Precup - Nonlinear Studies, 2020 - search.ebscohost.com
In this work, we establish a vector version of fixed point theorem of cone compression and
expansion for an expansive operator with constant h > 1 perturbed by a k-set contraction …

Classical solutions for a BVP for a class impulsive fractional partial differential equations

SG Georgiev, K Zennir, WASB Khalifa, AHM Yassin… - Fractals, 2022 - World Scientific
In this paper, we investigate a BVP for a class impulsive fractional partial differential
equations. We propose a new topological approach to prove the existence of at least one …

[HTML][HTML] Classical solutions for a class of IVP for nonlinear two-dimensional wave equations via new fixed point approach

SG Georgiev, K Zennir - Partial Differential Equations in Applied …, 2020 - Elsevier
This paper devoted to research a classical solutions for a range of two-dimensional
problems associated with the propagation of nonlinear waves subjected with a class of initial …

Existence of Positive Solutions for a Class of Boundary Value Problems with-Laplacian in Banach Spaces

S Georgiev, K Mebarki - Journal of Contemporary Mathematical Analysis …, 2021 - Springer
Weakly sufficient conditions that guarantee the existence of positive bounded solutions are
obtained for the equation:\left (p\left (u^ ′ (t)\right)\right)^ ′+ f (u (t))= θ, 0< t< 1, subject to …

A new multiple fixed point theorem with applications

S Georgiev, K Mebarki - Advances in the Theory of Nonlinear …, 2021 - dergipark.org.tr
The purpose of this work is to establish an extension of a Bai-Ge type multiple fixed point
theorem for a sum of two operators. The arguments are based upon recent fixed point index …

Existence of Solutions for a Class of Volterra Integral Equations on Time Scales

W Salih Ramadan, SG Georgiev… - … Methods in the …, 2025 - Wiley Online Library
In this paper, we investigate a class of Volterra integral equations for existence of global
classical solutions. We give conditions under which the considered equations have at least …

[PDF][PDF] Existence of classical solutions for a class of several types of equations

SG Georgieva, G Davidib - Filomat, 2024 - pmf.ni.ac.rs
We study a class of Hamilton-Jacobi equations and a class of incompressible Navier-Stokes
equations. A new topological approach is applied to prove the existence of at least one and …

Two nonnegative solutions for two-dimensional nonlinear wave equations

S Georgiev, M Majdoub - Cubo (Temuco), 2022 - SciELO Chile
Two nonnegative solutions for two-dimensional nonlinear wave equations Page 1 CUBO, A
Mathematical Journal Vol. 24, no. 03, pp. 393–412, December 2022 DOI: 10.56754/0719-0646.2403.0393 …

[PDF][PDF] NOVEL POSITIVE SOLUTIONS FOR A CLASS OF IBVP FOR NONLINEAR PARABOLIC EQUATIONS

A Berkane, S Georgiev, K Zennir - 2022 - researchgate.net
1 Introduction and relevance of the topic Page 1 Dynamics of Continuous, Discrete and Impulsive
Systems Series A: Mathematical Analysis 29 (2022) 403-417 Copyright c 2022 Watam Press …

[PDF][PDF] Existence of solutions for a class of nonlinear integral equations on time scales

SG Georgieva, YN Raffoulb - Filomat, 2024 - pmf.ni.ac.rs
In this paper we investigate a class of nonlinear integral equations for existence of global
classical solutions. We give conditions under which the considered equations have at least …