On positive periodic solutions to second-order differential equations with a sub-linear non-linearity

2021 ◽  
Vol 57 ◽  
pp. 103200
Author(s):  
Alexander Lomtatidze ◽  
Jiří Šremr
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Second Order ◽  
Positive Periodic Solutions ◽  
Second Order Differential Equations

scholarly journals Multiplicity of positive periodic solutions to second order differential equations

2006 ◽  
Vol 73 (2) ◽  
pp. 175-182 ◽  
Author(s):  
Jifeng Chu ◽  
Xiaoning Lin ◽  
Daqing Jiang ◽  
Donal O'Regan ◽  
R. P. Agarwal
Keyword(s):  
Periodic Solution ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Positive Periodic Solution ◽  
Second Order ◽  
Positive Periodic Solutions ◽  
Second Order Differential Equations

In this paper, we study the existence of positive periodic solutions to the equation x″ = f (t, x). It is proved that such a equation has more than one positive periodic solution when the nonlinearity changes sign. The proof relies on a fixed point theorem in cones.

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