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Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity
Yongqing Wang,Lishan Liu,Yonghong Wu
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/214042
Abstract: We discuss the existence of positive solutions to the following fractional m-point boundary value problem with changing sign nonlinearity 0
Sign-Changing Solutions for Discrete Dirichlet Boundary Value Problem  [PDF]
Yuhua Long, Baoling Zeng
Journal of Applied Mathematics and Physics (JAMP) , 2017, DOI: 10.4236/jamp.2017.511182
Abstract: Using invariant sets of descending flow and variational methods, we establish some sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions for second-order nonlinear difference equations with Dirichlet boundary value problem. Some results in the literature are improved.
Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity
Yongqing Wang,Lishan Liu,Yonghong Wu
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/149849
Abstract: We discuss the existence of positive solutions of a boundary value problem of nonlinear fractional differential equation with changing sign nonlinearity. We first derive some properties of the associated Green function and then obtain some results on the existence of positive solutions by means of the Krasnoselskii's fixed point theorem in a cone.
Existence of positive solutions for boundary-value problems with integral boundary conditions and sign changing nonlinearities
Shu Liu,Mei Jia,Yingqiang Tian
Electronic Journal of Differential Equations , 2010,
Abstract: In this article, we show the existence of positive solutions for boundary value problems with integral boundary conditions and sign changing nonlinearities. By using a fixed point theorem in double cones, we obtain sufficient conditions for the existence of two positive solutions.
Multiple sign-changing solutions for some m-point boundary-value problems  [cached]
Xian Xu
Electronic Journal of Differential Equations , 2004,
Abstract: In this paper, we show existence results for multiple sign-changing solutions for m-point boundary-value problems. We use fixed point index and Leray-Schauder degree methods.
Sign-Changing Solutions for Discrete Second-Order Three-Point Boundary Value Problems
Tieshan He,Wei Yang,Fengjian Yang
Discrete Dynamics in Nature and Society , 2010, DOI: 10.1155/2010/705387
Abstract: We consider the second-order three-point discrete boundary value problem. By using the topological degree theory and the fixed point index theory, we provide sufficient conditions for the existence of sign-changing solutions, positive solutions, and negative solutions. As an application, an example is given to demonstrate our main results.
Sign-changing solutions to discrete fourth-order Neumann boundary value problems
Jingping Yang
Advances in Difference Equations , 2013, DOI: 10.1186/1687-1847-2013-10
Abstract: By using topological degree theory and fixed point index theory, we consider a discrete fourth-order Neumann boundary value problem. We provide sufficient conditions for the existence of sign-changing solutions, positive solutions, and negative solutions.
Multiple sign-changing solutions for sub-linear impulsive three-point boundary-value problems  [cached]
Gui Bao,Xian Xu
Electronic Journal of Differential Equations , 2010,
Abstract: In this article, we study the existence of sign-changing solutions for some second-order impulsive boundary-value problem with a sub-linear condition at infinity. To obtain the results we use the Leray-Schauder degree and the upper and lower solution method.
Singular and nonsingular boundary value problems with sign changing nonlinearities  [cached]
Kannan R,O'regan Donal
Journal of Inequalities and Applications , 2000,
Abstract: This paper presents existence results for singular boundary value problems where the nonlinearity is allowed to change sign. Our theory is then applied to an example which arises naturally in the theory of shallow membrane caps.
Multiple nonnegative solutions for second-order boundary-value problems with sign-changing nonlinearities
Shouliang Xi,Mei Jia,Huipeng Ji
Electronic Journal of Differential Equations , 2009,
Abstract: In this paper, we study the existence of multiple nonnegative solutions for second-order boundary-value problems of differential equations with sign-changing nonlinearities. Our main tools are the fixed-point theorem in double cones and the Leggett-Williams fixed point theorem. We present also the integral kernel associated with the boundary-value problem.
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