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EXISTENCE AND MULTIPLICITY OF positive solutions TO NONLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM

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Annals of Differential Equations 2012年第2期28卷 137-145页

作者： Ruipeng Chen , Yanqiong Lu (Dept. of Math., Northwest Normal University, Lanzhou 730070)

In this paper, we study a nonlinear semipositone Neumann boundary value problem. Under some suitable conditions, we prove the existence and multiplicity of positive solutions to the problem, based on Krasnosel’skii’... 详细信息

关键词： Krasnosel’skii’s fixed point theorem in cones semipositone Neumann boundary value problems positive solutions multiplicity

TWO positive solutions FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS

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Annals of Differential Equations 2003年第4期19卷 497-504页

作者：郝兆才张洪谦屈跃宽 Dept.of Math. University of Science and Technology of ChinaHefei 230026 Dept.of Math.Qufu Normal UniversityQufu 273165 Dept.of Math. Weifang College.Weifang 260043 Dept.of Math. Qufu Normal UniversityQufu 273165

An existence theorem of two positive solutions of the singular BVPwas established by using topological degree theory.

关键词： singular boundary value problems positive solutions existence,cone topological-degree

EXISTENCE OF positive solutions TO BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

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Annals of Differential Equations 2013年第2期29卷 212-221页

作者： Jinhua Wang Hongjun Xiang Dept. of Math. Xiangnan University

In this paper, using the property of the corresponding Green’s function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fra... 详细信息

关键词： positive solutions boundary value problem nonlinear fractional dif- ferential equation Green's function fixed-point index theory

EXISTENCE OF positive solutions TO A THREE-POINT BOUNDARY VALUE PROBLEM FOR SECOND ORDER DYNAMIC EQUATIONS WITH DERIVATIVE ON TIME SCALES

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Annals of Differential Equations 2014年第3期30卷 282-290页

作者： Jinjun Fan Fangfang Han School of Mathematical Science Shandong Normal University

In this paper, we consider the existence of positive solutions to a three-point boundary value problem for second order dynamic equations with derivative on time *** Leggett-Williams fixed point theorem, we obtain at least three positive solutions to the problem. An example is also presented to illustrate the applications of the results obtained.

关键词： positive solutions time scales dynamic equations fixed point theorem

STRUCTURE OF positive solutions OF A CLASS OF QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

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Annals of Differential Equations 2003年第4期19卷 571-583页

作者：喻洪俊 Academy of Mathematics and Systems Sciences CASBeijing 100080

The existence and uniqueness of positive solutions for a class of quasilinear ordinary differential equations with a large parameter are obtained. It is shown that the flat core of positive solutions can exist. So som... 详细信息

关键词： positive solutions flat core subsolutions supersolutions

THREE positive solutions TO BVP FOR p-LAPLACIAN IMPULSIVE FUNCTIONAL DYNAMIC EQUATIONS ON A TIME SCALE

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Annals of Differential Equations 2014年第2期30卷 236-243页

作者： Zhiyu Zhang Lijian Yin Dept.of Math. Taiyuan Institute of Technology Dept.of Math. North University of China

In this paper, we axe interested in the existence of three positive solutions to a BVP for p-Laplacian impulsive functional dynamic equations on a time scale. Using the five-functional fixed theory, we establish a Banach space and an appropriate operator. In this paper, we combine the delta-nabla p-Laplacian BVP with impulsive functional dynamic equations, and obtain some new sufficient conditions for the existence of three positive solutions to the BVP, and our result here generalizes the previous related results.

关键词： time scale positive solutions p-Laplacian operator the five-functionalfixed theory cone

EXISTENCE OF positive solutions TO A SYSTEM OF DYNAMIC EQUATIONS WITH PARAMETERS ON TIME SCALES

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Annals of Differential Equations 2013年第3期29卷 277-287页

作者： Jinjun Fan Liqing Li School of Mathematical Science Shandong Normal University

In this paper, we consider a three-point boundary value problem for a system of dynamic equations with parameters on time scales. Applying fixed point theorems,we give the existence of positive solutions to the proble... 详细信息

关键词： positive solutions time scales dynamic equations system fixed point theorem

EXISTENCE OF TRIPLE positive solutions TO A MULTI-POINT BOUNDARY VALUE PROBLEM

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Annals of Differential Equations 2011年第2期27卷 201-206页

作者： Bo Sun (School of Applied Math., Central University of Finance and Economics, Beijing 100081) Aijun Yang (College of Science, Zhejiang University of Technology, Hangzhou 310032)

We apply a fixed point theorem to verify the existence of at least three positive solutions to a multi-point boundary value problem with p-Laplacian. Existence criteria which ensure the existence of triple positive so... 详细信息

关键词： positive solutions fixed point theorem multi-point boundary value problem p-Laplacian

EXISTENCE OF positive solutions TO SINGULAR SUBLINEAR SEMIPOSITONE NEUMANN BOUNDARY VALUE PROBLEM

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Annals of Differential Equations 2011年第3期27卷 336-342页

作者： Zhilong Li,Shujun Jiang(Dept. of Math.,Jiangxi University of Finance and Economics,Nanchang 330013)

The existence of positive solutions to a singular sublinear semipositone Neumann boundary value problem is considered. In this paper,the nonlinearity term is not necessary to be bounded from below and the function q(t... 详细信息

关键词： positive solutions singular Neumann boundary value problem unbounded from below fixed point index theory