Positive solutions for a system of difference equations with coupled multi-point boundary conditions

2015 ◽  
Vol 22 (2) ◽  
pp. 188-216 ◽  
Author(s):  
Johnny Henderson ◽  
Rodica Luca
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Difference Equations ◽  
Point Boundary ◽  
System Of Difference Equations

scholarly journals The Iterative Positive Solution for a System of Fractional q-Difference Equations with Four-Point Boundary Conditions

2020 ◽  
Vol 2020 ◽  
pp. 1-8 ◽  
Author(s):  
Chuanzhi Bai ◽  
Dandan Yang
Keyword(s):  
Boundary Conditions ◽  
Positive Solution ◽  
Positive Solutions ◽  
Difference Equations ◽  
Iterative Approach ◽  
Point Boundary ◽  
Boundary Problems ◽  
Monotone Iterative

In this work, we investigate the following system of fractional q-difference equations with four-point boundary problems: Dqαut+ft,vt=0,0<t<1;Dqβvt+gt,ut=0,0<t<1;u0=0,u1=γ1uη1; and v0=0,v1=γ2uη2, where Dqα and Dqβ are the fractional Riemann–Liouville q-derivative of order α and β, respectively, 0<q<1, 1<β≤α≤2, 0<η1,η2<1, 0<γ1η1α−1<1, and 0<γ2η2β−1<1. By virtue of monotone iterative approach, the iterative positive solutions are obtained. An example to illustrate our result is given.

Existence and nonexistence of positive solutions to a discrete boundary value problem

2017 ◽  
Vol 33 (2) ◽  
pp. 181-190
Author(s):  
JOHNNY HENDERSON ◽  
◽  
RODICA LUCA ◽  
ALEXANDRU TUDORACHE ◽  
◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Difference Equations ◽  
Boundary Value ◽  
Second Order ◽  
Point Boundary ◽  
Order Difference ◽  
Discrete Boundary Value Problem ◽  
Existence And Nonexistence

We study the existence and nonexistence of positive solutions for a system of nonlinear second-order difference equations subject to coupled multi-point boundary conditions which contain some positive constants.

scholarly journals Positive solutions for a system of fractional differential equations with p-Laplacian operator and multi-point boundary conditions

2018 ◽  
Vol 23 (5) ◽  
pp. 771-801 ◽  
Author(s):  
Rodica Luca
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Fractional Derivatives ◽  
Existence Results ◽  
Laplacian Operator ◽  
Point Boundary ◽  
Existence And Nonexistence ◽  
Fractional Differential

>We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann–Liouville fractional differential equations with parameters and p-Laplacian operator subject to multi-point boundary conditions, which contain fractional derivatives. The proof of our main existence results is based on the Guo–Krasnosel'skii fixed-point theorem.

Long-term behavior of positive solutions of an exponentially self-regulating system of difference equations

2017 ◽  
Vol 10 (03) ◽  
pp. 1750045 ◽  
Author(s):  
N. Psarros ◽  
G. Papaschinopoulos ◽  
K. B. Papadopoulos
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Difference Equations ◽  
Initial Conditions ◽  
System Of Difference Equations ◽  
Long Term Behavior

In this paper, we study the asymptotic behavior of the positive solutions of a system of the following difference equations: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] are positive constants and the initial conditions [Formula: see text] and [Formula: see text] are positive numbers.

Existence of bounded positive solutions for a system of difference equations

2011 ◽  
Vol 218 (6) ◽  
pp. 2889-2912 ◽  
Author(s):  
Zeqing Liu ◽  
Liangshi Zhao ◽  
Shin Min Kang ◽  
Young Chel Kwun
Keyword(s):  
Positive Solutions ◽  
Difference Equations ◽  
System Of Difference Equations
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