Existence of Positive Solutions for Boundary Value Problems of Nonlinear Functional Difference Equation with p-Laplacian Operator

Yang, Shujie; Shi, Beibei; Dc, Zhang

doi:10.1155/2007/38230

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2008

2022

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

(1 citation statement)

References 7 publications

(5 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, some literature [11,12] studied solutions of φ c -Laplacian difference equations. For more research on solutions of difference equations, we can refer to [13][14][15][16][17][18][19][20][21][28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Multiple solutions of fourth-order difference equations with different boundary conditions

Wang

Chen

2019

Bound Value Probl

View full text Add to dashboard Cite

In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we establish a series of sufficient conditions on the existence of multiple solutions for these boundary value problems. In addition, some examples are provided to demonstrate the applicability of our results.

show abstract

Section: Introductionmentioning

confidence: 99%

Multiple solutions of fourth-order difference equations with different boundary conditions

Wang

Chen

2019

Bound Value Probl

View full text Add to dashboard Cite

show abstract

Boundary Value Problems Arising in Kalman Filtering

Bashirov

Mazhar

Ertürk

2008

Boundary Value Problems

View full text Add to dashboard Cite

The classic Kalman filtering equations for independent and correlated white noises are ordinary differential equations deterministic or stochastic with the respective initial conditions. Changing the noise processes by taking them to be more realistic wide band noises or delayed white noises creates challenging partial differential equations with initial and boundary conditions. In this paper, we are aimed to give a survey of this connection between Kalman filtering and boundary value problems, bringing them into the attention of mathematicians as well as engineers dealing with Kalman filtering and boundary value problems.

show abstract

Solutions and Green's Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations

Shu-jie

Bao

2010

Bound Value Probl

View full text Add to dashboard Cite

show abstract

Existence of Positive Solutions for Boundary Value Problems of Nonlinear Functional Difference Equation with p-Laplacian Operator

Abstract: The existence of positive solutions for boundary value problems of nonlinear functional difference equations with p-Laplacian operator is investigated. Sufficient conditions are obtained for the existence of at least one positive solution and two positive solutions.

Cited by 4 publications

References 7 publications

Multiple solutions of fourth-order difference equations with different boundary conditions

Multiple solutions of fourth-order difference equations with different boundary conditions

Boundary Value Problems Arising in Kalman Filtering

Solutions and Green's Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations

Contact Info

Product

Resources

About