Nonlocal Boundary Value Problems

Nonlocal boundary value problems

Authors: Daniel Franco, Gennaro Infante and Feliz Manuel Minhós

Citation: Boundary Value Problems 2012 2012:23

Content type: Editorial Published on: 24 February 2012
- View Full Text
- View PDF
New Fixed Point Theorems of Mixed Monotone Operators and Applications to Singular Boundary Value Problems on Time Scales

Some new existence and uniqueness theorems of fixed points of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point boundary value problem on time sc...

Authors: Huiye Xu

Citation: Boundary Value Problems 2010 2011:567054

Content type: Research Article Published on: 21 December 2010
- View Full Text
- View PDF
Positive Solutions for Third-Order -Laplacian Functional Dynamic Equations on Time Scales

The authors study the boundary value problems for a -Laplacian functional dynamic equation on a time scale, ...

Authors: Changxiu Song and Xuejun Gao

Citation: Boundary Value Problems 2010 2011:279752

Content type: Research Article Published on: 15 December 2010
- View Full Text
- View PDF
Multiple Positive Solutions for Second-Order -Laplacian Dynamic Equations with Integral Boundary Conditions

We are concerned with the following second-order -Laplacian dynamic equations on time scales ...

Authors: Yongkun Li and Tianwei Zhang

Citation: Boundary Value Problems 2010 2011:867615

Content type: Research Article Published on: 6 December 2010
- View Full Text
- View PDF
Green's Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions

We investigate a second-order discrete problem with two additional conditions which are described by a pair of linearly independent linear functionals. We have found the solution to this problem and presented ...

Authors: Svetlana Roman and Artūras Štikonas

Citation: Boundary Value Problems 2010 2011:767024

Content type: Research Article Published on: 24 November 2010
- View Full Text
- View PDF
Existence of Solutions to a Nonlocal Boundary Value Problem with Nonlinear Growth

This paper deals with the existence of solutions for the following differential equation: , ...

Authors: Xiaojie Lin

Citation: Boundary Value Problems 2010 2011:416416

Content type: Research Article Published on: 24 October 2010
- View Full Text
- View PDF
Second-Order Boundary Value Problem with Integral Boundary Conditions

The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary condi...

Authors: Mouffak Benchohra, JuanJ Nieto and Abdelghani Ouahab

Citation: Boundary Value Problems 2010 2011:260309

Content type: Research Article Published on: 13 October 2010
- View Full Text
- View PDF
Approximation of Solutions for Second-Order -Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization

We discuss the existence and uniqueness of the solutions of a second-order -point nonlocal boundary value problem by applying a generali...

Authors: Ahmed Alsaedi

Citation: Boundary Value Problems 2010 2011:929061

Content type: Research Article Published on: 4 October 2010
- View Full Text
- View PDF
Existence Results of Three-Point Boundary Value Problems for Second-order Ordinary Differential Equations

We establish existence results of the following three-point boundary value problems: , ...

Authors: Sheng-Ping Wang and Long-Yi Tsai

Citation: Boundary Value Problems 2010 2011:901796

Content type: Research Article Published on: 28 September 2010
- View Full Text
- View PDF
Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities

We consider the nonlinear eigenvalue problems , ,

Authors: Yulian An

Citation: Boundary Value Problems 2010 2011:715836

Content type: Research Article Published on: 28 September 2010
- View Full Text
- View PDF
Mixed Monotone Iterative Technique for Impulsive Periodic Boundary Value Problems in Banach Spaces

This paper deals with the existence of -quasi-solutions for impulsive periodic boundary value problems in an ordered Banach space

Authors: Pengyu Chen

Citation: Boundary Value Problems 2010 2011:421261

Content type: Research Article Published on: 21 September 2010
- View Full Text
- View PDF
Nonlocal Four-Point Boundary Value Problem for the Singularly Perturbed Semilinear Differential Equations

This paper deals with the existence and asymptotic behavior of the solutions to the singularly perturbed second-order nonlinear differential equations. For example, feedback control problems, such as the stead...

Authors: Robert Vrabel

Citation: Boundary Value Problems 2010 2011:570493

Content type: Research Article Published on: 19 September 2010
- View Full Text
- View PDF
Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension

We study the solvability of a system of second-order differential equations with Dirichlet boundary conditions and non-local terms depending upon a parameter. The main tools used are a dual variational method ...

Authors: Alberto Cabada, J. Ángel Cid and Luís Sanchez

Citation: Boundary Value Problems 2010 2011:518431

Content type: Research Article Published on: 2 September 2010
- View Full Text
- View PDF
A Quasilinear Parabolic System with Nonlocal Boundary Condition

We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which ...

Authors: Botao Chen, Yongsheng Mi and Chunlai Mu

Citation: Boundary Value Problems 2010 2011:750769

Content type: Research Article Published on: 18 August 2010
- View Full Text
- View PDF
A Note on a Beam Equation with Nonlinear Boundary Conditions

We present new results on the existence of multiple positive solutions of a fourth-order differential equation subject to nonlocal and nonlinear boundary conditions that models a particular stationary state of...

Authors: Paolamaria Pietramala

Citation: Boundary Value Problems 2010 2011:376782

Content type: Research Article Published on: 12 August 2010
- View Full Text
- View PDF
Multiple Positive Solutions for m-Point Boundary Value Problem on Time Scales

The purpose of this article is to establish the existence of multiple positive solutions of the dynamic equation on time scales , subjec...

Authors: Jie Liu and Hong-Rui Sun

Citation: Boundary Value Problems 2010 2011:591219

Content type: Research Article Published on: 10 August 2010
- View Full Text
- View PDF
Multiple Positive Solutions of a Singular Emden-Fowler Type Problem for Second-Order Impulsive Differential Systems

This paper studies the existence, and multiplicity of positive solutions of a singular boundary value problem for second-order differential systems with impulse effects. By using the upper and lower solutions ...

Authors: EunKyoung Lee and Yong-Hoon Lee

Citation: Boundary Value Problems 2010 2011:212980

Content type: Research Article Published on: 10 August 2010
- View Full Text
- View PDF
On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type

We study the existence of positive solutions to the following nonlocal boundary value problem in ...

Authors: Giovanni Anello

Citation: Boundary Value Problems 2010 2011:891430

Content type: Research Article Published on: 9 August 2010
- View Full Text
- View PDF
Existence of Positive Solutions of Fourth-Order Problems with Integral Boundary Conditions

We study the existence of positive solutions of the following fourth-order boundary value problem with integral boundary conditions, ,

Authors: Ruyun Ma and Tianlan Chen

Citation: Boundary Value Problems 2010 2011:297578

Content type: Research Article Published on: 3 August 2010
- View Full Text
- View PDF
Minimal Nonnegative Solution of Nonlinear Impulsive Differential Equations on Infinite Interval

The cone theory and monotone iterative technique are used to investigate the minimal nonnegative solution of nonlocal boundary value problems for second-order nonlinear impulsive differential equations on an i...

Authors: Xuemei Zhang, Xiaozhong Yang and Meiqiang Feng

Citation: Boundary Value Problems 2010 2011:684542

Content type: Research Article Published on: 2 August 2010
- View Full Text
- View PDF
An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions

The aim of this paper is to point out recent and classical results related with the existence of solutions of second-order problems coupled with nonlinear boundary value conditions.

Authors: Alberto Cabada

Citation: Boundary Value Problems 2010 2011:893753

Content type: Review Article Published on: 25 July 2010
- View Full Text
- View PDF
New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions

This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are establish...

Authors: Meiqiang Feng, Xuemei Zhang and WeiGao Ge

Citation: Boundary Value Problems 2010 2011:720702

Content type: Research Article Published on: 20 July 2010
- View Full Text
- View PDF
Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations

Existence and Lyapunov stability of periodic solutions for a generalized higher-order neutral differential equation are established.

Authors: Jingli Ren, Wing-Sum Cheung and Zhibo Cheng

Citation: Boundary Value Problems 2010 2011:635767

Content type: Research Article Published on: 19 July 2010
- View Full Text
- View PDF
Discontinuous Parabolic Problems with a Nonlocal Initial Condition

We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense. Our technique is b...

Authors: Abdelkader Boucherif

Citation: Boundary Value Problems 2010 2011:965759

Content type: Research Article Published on: 5 July 2010
- View Full Text
- View PDF
Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line

We consider the initial-boundary value problem for a nonlinear partial differential equation with module-fractional derivative on a half-line. We study the local and global in time existence of solutions to th...

Authors: MartínP Árciga A

Citation: Boundary Value Problems 2010 2011:946143

Content type: Research Article Published on: 29 June 2010
- View Full Text
- View PDF
Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional -Laplacian

By using the fixed point theory for completely continuous operator, this paper investigates the existence of positive solutions for a class of fourth-order impulsive boundary value problems with integral bound...

Authors: Meiqiang Feng

Citation: Boundary Value Problems 2010 2011:654871

Content type: Research Article Published on: 29 June 2010
- View Full Text
- View PDF
Positive Solutions of th-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions

This paper is devoted to study the existence, nonexistence, and multiplicity of positive solutions for the th-order nonlocal boundary va...

Authors: Meiqiang Feng, Xuemei Zhang and Xiaozhong Yang

Citation: Boundary Value Problems 2010 2011:456426

Content type: Research Article Published on: 10 June 2010
- View Full Text
- View PDF