scholarly journals Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Minmin Wang ◽  
Meiqiang Feng
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Neumann Boundary Value Problem ◽  
Denumerably Many Positive Solutions ◽  
Infinitely Many Singularities

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 S-shaped connected component of positive solutions for second-order discrete Neumann boundary value problems

2020 ◽  
Vol 18 (1) ◽  
pp. 1658-1666
Author(s):  
Liangying Miao ◽  
Jing Liu ◽  
Zhiqian He
Keyword(s):  
Boundary Value Problem ◽  
Weight Function ◽  
Positive Solutions ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Connected Component ◽  
Bifurcation Method ◽  
Neumann Boundary Value Problem ◽  
Neumann Boundary Value Problems

Abstract By using the bifurcation method, we study the existence of an S-shaped connected component in the set of positive solutions for discrete second-order Neumann boundary value problem. By figuring the shape of unbounded connected component of positive solutions, we show that the Neumann boundary value problem has three positive solutions suggesting suitable conditions on the weight function and nonlinearity.

scholarly journals POSITIVE SOLUTIONS OF A SECOND-ORDER NEUMANN BOUNDARY VALUE PROBLEM WITH A PARAMETER

2012 ◽  
Vol 86 (2) ◽  
pp. 244-253 ◽  
Author(s):  
YANG-WEN ZHANG ◽  
HONG-XU LI
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Existence And Uniqueness Theorem ◽  
Neumann Boundary Value Problem ◽  
Image Position ◽  
Continuous Dependence Of Solutions

AbstractIn this paper, we consider the Neumann boundary value problem with a parameter λ∈(0,∞): By using fixed point theorems in a cone, we obtain some existence, multiplicity and nonexistence results for positive solutions in terms of different values of λ. We also prove an existence and uniqueness theorem and show the continuous dependence of solutions on the parameter λ.

scholarly journals Existence of Positive Solutions for Neumann Boundary Value Problem with a Variable Coefficient

2011 ◽  
Vol 2011 ◽  
pp. 1-11
Author(s):  
Dongming Yan ◽  
Qiang Zhang ◽  
Zhigang Pan
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Variable Coefficient ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Neumann Boundary Value Problem ◽  
Existence Of Positive Solutions

We consider the existence of positive solutions for the Neumann boundary value problemx′′(t)+m2(t)x(t)=f(t,x(t))+e(t),t∈(0,    1),x′(0)=0,x′(1)=0, wherem∈C([0,1],(0,+∞)),e∈C[0,1],andf:[0,1]×(0,+∞)→[0,+∞)is continuous. The theorem obtained is very general and complements previous known results.

scholarly journals MULTIPLICITY RESULTS FOR THE NEUMANN BOUNDARY VALUE PROBLEM

2007 ◽  
Vol 12 (2) ◽  
pp. 179-186 ◽  
Author(s):  
Svetlana Atslega
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Neumann Boundary ◽  
Second Order ◽  
Multiplicity Results ◽  
Neumann Boundary Value Problem ◽  
Second Order Differential Equation

We provide multiplicity results for the Neumann boundary value problem, when the second order differential equation is of the form x” = f(x).

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