scholarly journals Positive solutions for a third order two-point boundary value problem at resonance on the positive half line

2017 ◽  
Vol 2017 (1) ◽  
pp. 1-17
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Boundary Value ◽  
Half Line ◽  
Point Boundary ◽  
Third Order ◽  
At Resonance ◽  
Problem At Resonance ◽  
Positive Half

A note on a third-order multi-point boundary value problem at resonance

2011 ◽  
Vol 284 (13) ◽  
pp. 1690-1700 ◽  
Author(s):  
Xiaojie Lin ◽  
Zengji Du ◽  
Fanchao Meng
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Point Boundary ◽  
Third Order ◽  
At Resonance ◽  
Problem At Resonance

scholarly journals On the Solvability of a Resonant Third-Order Integral m-Point Boundary Value Problem on the Half-Line

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
O. F. Imaga ◽  
J. G. Oghonyon ◽  
P. O. Ogunniyi
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Existence Results ◽  
Coincidence Degree Theory ◽  
Half Line ◽  
Point Boundary ◽  
Third Order ◽  
At Resonance

In this work, the existence of at least one solution for the following third-order integral and m -point boundary value problem on the half-line at resonance ρ t u ′ t ″ = w t , u t , u ′ t , u ″ t , t ∈ 0 , ∞ , u 0 = ∑ j = 1 m   α j ∫ 0 η j   u t d t , u ′ 0 = 0 , lim t ⟶ ∞ ρ t u ′ t ′ = 0 , will be investigated. The Mawhin’s coincidence degree theory will be used to obtain existence results while an example will be used to validate the result obatined.

scholarly journals On a fractional-order p-Laplacian boundary value problem at resonance on the half-line with two dimensional kernel

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
O. F. Imaga ◽  
S. A. Iyase
Keyword(s):  
Differential Operator ◽  
Boundary Value Problem ◽  
Fractional Order ◽  
Boundary Value ◽  
Coincidence Degree ◽  
Half Line ◽  
At Resonance ◽  
Fractional Differential Operator ◽  
Fractional Differential ◽  
Problem At Resonance

AbstractIn this work, we consider the solvability of a fractional-order p-Laplacian boundary value problem on the half-line where the fractional differential operator is nonlinear and has a kernel dimension equal to two. Due to the nonlinearity of the fractional differential operator, the Ge and Ren extension of Mawhin’s coincidence degree theory is applied to obtain existence results for the boundary value problem at resonance. Two examples are used to validate the established results.

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