scholarly journals On a superlinear periodic boundary value problem with vanishing Green's function

2016 ◽  
pp. 1-12 ◽  
Author(s):  
Dang Dinh Hai
Keyword(s):  
Boundary Value Problem ◽  
Green’S Function ◽  
Green's Function ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Periodic Boundary Value Problem

scholarly journals Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
Alberto Cabada ◽  
José Ángel Cid
Keyword(s):  
Boundary Value Problem ◽  
Green's Function ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Periodic Boundary Value Problem ◽  
Positive Parameter ◽  
Hill’S Equation ◽  
Parametric Dependence ◽  
Multiplicity Of Solutions ◽  
Existence And Multiplicity

We deal with the existence and multiplicity of solutions for the periodic boundary value problemx″(t)+a(t)x(t)=λg(t)f(x)+c(t), x(0)=x(T), x′(0)=x′(T), whereλis a positive parameter. The functionf:(0,∞)→(0,∞)is allowed to be singular, and the related Green's function is nonnegative and can vanish at some points.

Sign in / Sign up

Export Citation Format

Share Document