In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation by using the Leray-Schauder fixed-point theorem....In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region.展开更多
In this paper, using two fixed-point theorems, we consider the existence and mul- tiplicity results of solutions to a nonlinear two point boundary value problem. In argument, the properties of the Green function play ...In this paper, using two fixed-point theorems, we consider the existence and mul- tiplicity results of solutions to a nonlinear two point boundary value problem. In argument, the properties of the Green function play an important role.展开更多
In this paper,we establish the existence of three positive solutions to a nonlinear fractional differential equation by the Leggett-Williams fixed point theorem.
The aim of this paper is to study the oscillation of second order neutral difference equations.Our results are based on the new comparison theorems,that reduce the problem of the oscillation of the second order equati...The aim of this paper is to study the oscillation of second order neutral difference equations.Our results are based on the new comparison theorems,that reduce the problem of the oscillation of the second order equation to that of the first order equation.The comparison principles obtained essentially simplify the examination of the equations.展开更多
In this paper,we investigate the existence and uniqueness of positive solutions to a class of singular fractional boundary value problem.The existence of positive solutions to the problem is based on a fixed point the...In this paper,we investigate the existence and uniqueness of positive solutions to a class of singular fractional boundary value problem.The existence of positive solutions to the problem is based on a fixed point theorem in partially ordered sets.展开更多
In this paper,we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem.By the infinite dimensional Morse theory,under some conditions on nonlinear term,we obt...In this paper,we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem.By the infinite dimensional Morse theory,under some conditions on nonlinear term,we obtain that there exist at least two nontrivial solutions.展开更多
基金supported by the Natural Science Foundation of China(No.11271235)the Foundation of Datong University(2014Q10)
文摘In this paper, we establish the existence result of solution and positive solution for two-point boundary value problem of a semilinear fractional differential equation by using the Leray-Schauder fixed-point theorem. The discussion is based on the system of integral equations on a bounded region.
基金the National Natural Science Foundation of China(No.11271235)the Foundation of Datong University(XJY-2012211)The Development Foundation of Higher Education of Shanxi Province(ZJ-12001)
文摘In this paper, using two fixed-point theorems, we consider the existence and mul- tiplicity results of solutions to a nonlinear two point boundary value problem. In argument, the properties of the Green function play an important role.
基金supported by the Natural Science Foundation of Shanxi Province(2008011002-1)Shanxi Datong University Institute(2009-Y-15+2 种基金2010-B-01)the Development Foundation of Higher Education Department of Shanxi Province(2010110920111020)
文摘In this paper,we establish the existence of three positive solutions to a nonlinear fractional differential equation by the Leggett-Williams fixed point theorem.
基金the NSF of Shanxi Province(No.2008011002-1)the Development Foundation of Higher Education Department of Shanxi Province(No.20111117)the Foundation of Datong University 2010-B-01
文摘The aim of this paper is to study the oscillation of second order neutral difference equations.Our results are based on the new comparison theorems,that reduce the problem of the oscillation of the second order equation to that of the first order equation.The comparison principles obtained essentially simplify the examination of the equations.
基金the NSF of Shanxi Province(No.2008011002-1)the Foundation of Datong University(2010-B-01+2 种基金2009-Y-15)the Development Foundation of Higher(2011102020111117)
文摘In this paper,we investigate the existence and uniqueness of positive solutions to a class of singular fractional boundary value problem.The existence of positive solutions to the problem is based on a fixed point theorem in partially ordered sets.
基金supported by the National Natural Science Foundation of China(10771128)Natural Science Foundation of Shanxi(2008011002-1)+2 种基金Shanxi University Science and Technology Development Project(2010110920111117)Doctorial Start-up Foundation of Datong University(2010-B-01)
文摘In this paper,we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem.By the infinite dimensional Morse theory,under some conditions on nonlinear term,we obtain that there exist at least two nontrivial solutions.
