scholarly journals Positive solutions for Neumann boundary value problems of nonlinear second-order integro-differential equations in ordered Banach spaces

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
He Yang ◽  
Yue Liang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Banach Spaces ◽  
Positive Solutions ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Neumann Boundary Value Problems ◽  
Ordered Banach Spaces

scholarly journals Parameter Dependence of Positive Solutions for Second-Order Singular Neumann Boundary Value Problems with Impulsive Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Xuemei Zhang
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Impulsive Effects ◽  
Parameter Dependence ◽  
Neumann Boundary Value Problem ◽  
Neumann Boundary Value Problems

The author considers the Neumann boundary value problem-y′′t+Myt=λωtft,yt,  t∈J,    t≠tk,  -Δy′|t=tk=λIktk,ytk,   k=1,2,…,m,  y′(0)=y′(1)=0and establishes the dependence results of the solution on the parameterλ, which cover equations without impulsive effects and are compared with some recent results by Nieto and O’Regan.

scholarly journals Positive Solutions for Neumann Boundary Value Problems of Second-Order Impulsive Differential Equations in Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Xiaoya Liu ◽  
Yongxiang Li
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Boundary Value ◽  
Impulsive Differential Equations ◽  
Neumann Boundary ◽  
Index Theory ◽  
Second Order ◽  
Positive Elements ◽  
Fixed Point Index Theory ◽  
Neumann Boundary Value Problems

The existence of positive solutions for Neumann boundary value problem of second-order impulsive differential equations−u″(t)+Mu(t)=f(t,u(t),t∈J,t≠tk,-Δu'|t=tk=Ik(u(tk)),k=1,2,…,m,u'(0)=u'(1)=θ, in an ordered Banach spaceEwas discussed by employing the fixed point index theory of condensing mapping, whereM>0is a constant,J=[0,1],f∈C(J×K,K),Ik∈C(K,K),k=1,2,…,m, andKis the cone of positive elements inE. Moreover, an application is given to illustrate the main result.

Positive solutions for second-order superlinear repulsive singular Neumann boundary value problems

Positivity ◽  
2008 ◽  
Vol 12 (3) ◽  
pp. 555-569 ◽  
Author(s):  
Jifeng Chu ◽  
Xiaoning Lin ◽  
Daqing Jiang ◽  
Donal O’Regan ◽  
Ravi P. Agarwal
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Neumann Boundary Value Problems
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