scholarly journals The shooting method and positive solutions of fourth-order impulsive differential equations with multi-strip integral boundary conditions

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Yuke Zhu ◽  
Huihui Pang
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fourth Order ◽  
Shooting Method ◽  
Integral Boundary Conditions ◽  
Impulsive Differential Equations ◽  
Integral Boundary

Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions

2021 ◽  
Vol 8 (1) ◽  
pp. 297-306
Author(s):  
Bouzid Mansouri ◽  
Abdelouaheb Ardjouni ◽  
Ahcene Djoudi
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Positive Solutions ◽  
Fourth Order ◽  
Continuous Dependence ◽  
Sufficient Conditions ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Iterative Differential Equations

Abstract This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions. The main arguments are based on the Schauder fixed point theorem to prove the existence of a positive solution. As an application, we given an example to illustrate the obtained results.

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