scholarly journals Global structure of positive solutions for second-order discrete Neumann problems involving a superlinear nonlinearity with zeros

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Yanqiong Lu
Keyword(s):  
Positive Solutions ◽  
Global Structure ◽  
Second Order ◽  
Neumann Problems ◽  
Superlinear Nonlinearity

scholarly journals Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Hongyu Li ◽  
Junting Zhang
Keyword(s):  
Boundary Value Problem ◽  
Positive Solution ◽  
Positive Solutions ◽  
Boundary Value ◽  
Global Bifurcation ◽  
Global Structure ◽  
Second Order ◽  
Bifurcation Method ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problems

We investigate in this paper the following second-order multipoint boundary value problem:-(Lφ)(t)=λf(t,φ(t)),0≤t≤1,φ′0=0,φ1=∑i=1m-2βiφηi. Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect to parameterλby using global bifurcation method. We also obtain the infinite interval of parameterλabout the existence of positive solution.

scholarly journals Global Structure of Positive Solutions of a Discrete Problem with Sign-Changing Weight

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Ruyun Ma ◽  
Chenghua Gao ◽  
Xiaoling Han ◽  
Xiaoqiang Chen
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Global Structure ◽  
Second Order ◽  
Discrete Problem

Let T>5 be an integer, T={1,2,…,T}. We are concerned with the global structure of positive solutions set of the discrete second-order boundary value problems Δ2u(t-1)+rm(t)f(u(t))=0,  t∈T,  u(0)=u(T+1)=0, where r∈ℝ is a parameter, m:T→ℝ changes its sign and m(t)≠0 for  t∈T.

scholarly journals Positive solutions of a discrete second-order boundary value problems with fully nonlinear term

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Liyun Jin ◽  
Hua Luo
Keyword(s):  
Positive Solutions ◽  
Fixed Point Index ◽  
Nonlinear Term ◽  
Boundary Value ◽  
Index Theory ◽  
Second Order ◽  
Fully Nonlinear ◽  
Fixed Point Index Theory ◽  
Weaker Conditions ◽  
Lower Limits

Abstract In this paper, we mainly consider a kind of discrete second-order boundary value problem with fully nonlinear term. By using the fixed-point index theory, we obtain some existence results of positive solutions of this kind of problems. Instead of the upper and lower limits condition on f, we may only impose some weaker conditions on f.

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