Nonlocal Boundary Value Problems
-
Citation: Boundary Value Problems 2012 2012:23
-
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...
Citation: Boundary Value Problems 2010 2011:567054 -
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, ...
Citation: Boundary Value Problems 2010 2011:279752 -
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 ...
Citation: Boundary Value Problems 2010 2011:867615 -
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 ...
Citation: Boundary Value Problems 2010 2011:767024 -
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: , ...
Citation: Boundary Value Problems 2010 2011:416416 -
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...
Citation: Boundary Value Problems 2010 2011:260309 -
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...
Citation: Boundary Value Problems 2010 2011:929061 -
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: , ...
Citation: Boundary Value Problems 2010 2011:901796 -
Global Structure of Nodal Solutions for Second-Order m-Point Boundary Value Problems with Superlinear Nonlinearities
We consider the nonlinear eigenvalue problems , ,
Citation: Boundary Value Problems 2010 2011:715836 -
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
Citation: Boundary Value Problems 2010 2011:421261 -
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...
Citation: Boundary Value Problems 2010 2011:570493 -
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 ...
Citation: Boundary Value Problems 2010 2011:518431 -
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 ...
Citation: Boundary Value Problems 2010 2011:750769 -
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...
Citation: Boundary Value Problems 2010 2011:376782 -
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...
Citation: Boundary Value Problems 2010 2011:591219 -
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 ...
Citation: Boundary Value Problems 2010 2011:212980 -
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 ...
Citation: Boundary Value Problems 2010 2011:891430 -
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, ,
Citation: Boundary Value Problems 2010 2011:297578 -
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...
Citation: Boundary Value Problems 2010 2011:684542 -
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.
Citation: Boundary Value Problems 2010 2011:893753 -
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...
Citation: Boundary Value Problems 2010 2011:720702 -
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.
Citation: Boundary Value Problems 2010 2011:635767 -
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...
Citation: Boundary Value Problems 2010 2011:965759 -
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...
Citation: Boundary Value Problems 2010 2011:946143 -
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...
Citation: Boundary Value Problems 2010 2011:654871 -
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...
Citation: Boundary Value Problems 2010 2011:456426