scholarly journals Nonlinear multipoint boundary value problems for weakly coupled systems

1999 ◽  
Vol 60 (1) ◽  
pp. 45-54 ◽  
Author(s):  
H.B. Thompson ◽  
C.C. Tisdell

We establish existence results concerning solutions to multipoint boundary value problems for weakly coupled systems of second order ordinary differential equations with fully nonlinear boundary conditions.

2015 ◽  
Vol 2015 ◽  
pp. 1-4
Author(s):  
Guy Aymard Degla

We show that the sublinearity hypothesis of some well-known existence results on multipoint Boundary Value Problems (in short BVPs) may allow the existence of infinitely many solutions by using Tietze extension theorem. This is a qualitative result which is of concern in Applied Analysis and can motivate more research on the conditions that ascertain the existence of multiple solutions to sublinear BVPs. The idea of the proof is of independent interest since it shows a constructive way to have ordinary differential equations with multiple solutions.


2021 ◽  
Vol 6 (4) ◽  
pp. 3319-3338
Author(s):  
Ahmed Alsaedi ◽  
◽  
Bashir Ahmad ◽  
Manal Alblewi ◽  
Sotiris K. Ntouyas ◽  
...  

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