Existence of positive solutions of second-order periodic boundary value problems with sign-changing Green’s function

2017 ◽  
Vol 33 (2) ◽  
pp. 263-268 ◽  
Author(s):  
Cheng-hua Gao ◽  
Fei Zhang ◽  
Ru-yun Ma
Keyword(s):  
Green’S Function ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Green's Function ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Second Order ◽  
Periodic Boundary Value Problems ◽  
Existence Of Positive Solutions

scholarly journals Analysis of the Sign of the Solution for Certain Second-Order Periodic Boundary Value Problems with Piecewise Constant Arguments

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1953
Author(s):  
Sebastián Buedo-Fernández ◽  
Daniel Cao Labora ◽  
Rosana Rodríguez-López ◽  
Stepan A. Tersian
Keyword(s):  
Green’S Function ◽  
Boundary Value Problems ◽  
Unique Solution ◽  
Green's Function ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Piecewise Constant ◽  
Periodic Boundary Value Problems

We find sufficient conditions for the unique solution of certain second-order boundary value problems to have a constant sign. To this purpose, we use the expression in terms of a Green’s function of the unique solution for impulsive linear periodic boundary value problems associated with second-order differential equations with a functional dependence, which is a piecewise constant function. Our analysis lies in the study of the sign of the Green’s function.

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