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1.
In this paper, we are concerned with the existence of positive solutions to a n-point nonhomogeneous boundary value problem. By using the Krasnoselskii's fixed point theorem in Banach spaces, some sufficient conditions guaranteeing the existence of positive solution is established for the n-point nonhomogeneous boundary value problem.  相似文献   

2.
This paper investigates the existence of positive solutions of singular multi-point boundary value problems of fourth order ordinary differential equation with p-Laplacian. A necessary and sufficient condition for the existence of C2[0,1] positive solution as well as pseudo-C3[0,1] positive solution is given by means of the fixed point theorems on cones.  相似文献   

3.
With the help of the theorem of a fixed point index for A-proper semilinear operators established by Cremins, we get a existence theorem concerning the existence of positive solution for the second order ordinary differential equation of three-point boundary value problems at resonance.  相似文献   

4.
In this paper, we study the impulsive boundary value problems with Riemann–Stieltjes Δ-integral conditions and p-Laplacian operator on timescales. Using the Leray–Schauder fixed point theorem and the nonlinear alternative of Leray–Schauder type, we get the existence of at least one positive solution. We also consider the existence of at least three positive solutions using a new fixed point theorem. Finally, we give an example to show the feasibility of our main results.  相似文献   

5.
In this paper, we consider discrete second-order multi-point boundary value problem with a p-Laplacian. By giving condition on f and applying Krasnosel’skii fixed point theorem, we ensure the existence of at least one positive solution and show the existence of eigenvalue intervals.  相似文献   

6.
This paper deals with the existence and multiplicity of positive solutions for a class of nonlinear fractional differential equations with m-point boundary value problems. We obtain some existence results of positive solution by using the properties of the Green’s function, u 0-bounded function and the fixed point index theory under some conditions concerning the first eigenvalue with respect to the relevant linear operator.  相似文献   

7.
We study the existence of positive solutions for a nonlinear periodic problem driven by the scalar p-Laplacian and having a nonsmooth potential. We impose a nonuniform nonresonance condition at +?∞ and a uniform nonresonance condition at 0?+?. Using degree theoretic argument based on a fixed point index for multifunctions, we prove the existence of a strict positive solution.  相似文献   

8.
In this paper, we study a class of nth-order boundary value problems for impulsive differential equations with integral boundary conditions and p-Laplacian. The Leray–Schauder fixed point theorem is used to investigate the existence of at least one positive solution. We also consider the existence of at least three positive solutions by using a fixed-point theorem in a cone due to Avery-Peterson. As an application, we give an example to demonstrate our results.  相似文献   

9.
In this paper, we study the existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter. By using the properties of the Green’s function, u 0-positive function and the fixed point index theory, we obtain some existence results of positive solution under some conditions concerning the first eigenvalue with respect to the relevant linear operator. The method of this paper is a unified method for establishing the existence of multiple positive solutions for a large number of nonlinear differential equations of arbitrary order with any allowed number of non-local boundary conditions.  相似文献   

10.
The main purpose of this paper is to present the existence results of solutions and positive solutions of nonlinear high-order fractional boundary value problems with integral boundary condition. By using the Banach fixed point theorem and the Krasnosel’skii fixed point theorem, we obtain the existence and uniqueness of real solution. By the Guo–Krasnosel’skii fixed point theorem on the cone, we obtain a desired result for guaranteeing the existence of positive solution. Several interesting examples relevant to the main results are also considered.  相似文献   

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