New Applications of Perov's Fixed Point Theorem

S Mureşan, LF Iambor, O Bazighifan - Mathematics, 2022 - mdpi.com
The goal of this paper is to consider a differential equation system written as an interesting
equivalent form that has not been used before. Using Perov's fixed point theorem in …

[PDF][PDF] Coupled points in ordered generalized metric spaces and application to integro-dierential equations

N Van Luong, NX Thuan - Analele ştiinţifice ale Universităţii" Ovidius" …, 2013 - sciendo.com
In this paper, we prove some coupled fixed point theorems for O-compatible mappings in
partially ordered generalized metric spaces under certain conditions to extend and …

[PDF][PDF] Application of a trapezoid inequality to neutral Fredholm integro-differential equations in Banach spaces

SM SAN - 2006 - emis.dsd.sztaki.hu
A new approach for neutral Fredholm integro-differential equations in Banach spaces, using
the Perov's fixed point theorem of existence, uniqueness and approximation is presented …

[PDF][PDF] Existence and uniqueness of the solution of delay differential equations

KH Mohammedal, NA Ahmad, FS Fadhel - AIP Conf. Proc, 2016 - researchgate.net
In this paper, we will state and prove the existence and uniqueness theorems of solutions of
the delay differential equations with variable time delay. The followed approach is based on …

[PDF][PDF] Periodic solutions for nonlinear neutral delay integro-differential equations

A Bellour, EA Dads - Electronic Journal of Differential …, 2015 - kurims.kyoto-u.ac.jp
PERIODIC SOLUTIONS FOR NONLINEAR NEUTRAL DELAY INTEGRO-DIFFERENTIAL
EQUATIONS 1. Introduction The existence of positive solution Page 1 Electronic Journal of …

[PDF][PDF] Smooth dependence by LAG of the solution of a delay integrodifferential equation from Biomathematics

AM Bica, S Muresan - Communications in Mathematical Analysis, 2006 - researchgate.net
Using the Perov's fixed point theorem and the theorem of fiber generalized contractions, we
obtain the smooth dependence by lag of the positive periodic solution of a neutral delay …

[PS][PS] Elso-és másodrendu iteratıv funkcionál-differenciálegyenletek és-rendszerek

E Edit - math.bme.hu
Értelmezés 1.4. 1.(IA Rus [70]) Adott az (X, d) metrikus tér. Az A: X→ X operátor gyengén
Picard (GyPO), ha az (An (x)) n∈ N sorozat minden x∈ X esetén konvergál és határértéke …