scholarly journals An Existence Result for a Class of Coupled Polyharmonic Systems

2021 ◽  
pp. 304-318
Author(s):  
Zeineb Ben Yahia ◽  
Zagharide Zine El Abidine
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Potential Theory ◽  
Point Theorem ◽  
Existence Result ◽  
Continuous Solutions ◽  
Kato Class ◽  
Polyharmonic System ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

This work deals with the existence of positive continuous solutions for a nonlinear coupled polyharmonic system. Our analysis is based on some potential theory tools, properties of functions in the Kato class Km, n and the Schauder fixed point theorem.

scholarly journals A Schauder fixed point theorem in semilinear spaces and applications

2013 ◽  
Vol 2013 (1) ◽  
pp. 306 ◽  
Author(s):  
Ravi P Agarwal ◽  
Sadia Arshad ◽  
Donal O’Regan ◽  
Vasile Lupulescu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Schauder Fixed Point Theorem ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

The Darboux problem involving the distributional Henstock–Kurzweil integral

2012 ◽  
Vol 55 (1) ◽  
pp. 197-205 ◽  
Author(s):  
Yueping Lu ◽  
Guoju Ye ◽  
Ying Wang ◽  
Wei Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Schauder Fixed Point Theorem ◽  
Darboux Problem ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

AbstractIn this paper, using the Schauder Fixed Point Theorem and the Vidossich Theorem, we study the existence of solutions and the structure of the set of solutions of the Darboux problem involving the distributional Henstock–Kurzweil integral. The two theorems presented in this paper are extensions of the previous results of Deblasi and Myjak and of Bugajewski and Szufla.

scholarly journals Well-posed conditions on a class of fractional q-differential equations by using the Schauder fixed point theorem

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mohammad Esmael Samei ◽  
Ahmad Ahmadi ◽  
A. George Maria Selvam ◽  
Jehad Alzabut ◽  
Shahram Rezapour
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Point Theorem ◽  
Schauder Fixed Point Theorem ◽  
Stability Of Solution ◽  
The Stability ◽  
Well Posed ◽  
Schauder Fixed Point ◽  
Schäuder Fixed Point Theorem

AbstractIn this paper, we propose the conditions on which a class of boundary value problems, presented by fractional q-differential equations, is well-posed. First, under the suitable conditions, we will prove the existence and uniqueness of solution by means of the Schauder fixed point theorem. Then, the stability of solution will be discussed under the perturbations of boundary condition, a function existing in the problem, and the fractional order derivative. Examples involving algorithms and illustrated graphs are presented to demonstrate the validity of our theoretical findings.

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