Multiple Positive Solutions of Two-Point Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations | Zendy

Sun Zhong-min | Zendy; Ren Suo-quan | Zendy; Zhenlin Wu | Zendy; Huabin Zhang | Zendy

Open Access

Multiple Positive Solutions of Two-Point Boundary Value Problems for Systems of Nonlinear Third-Order Differential Equations

Author(s) -

Sun Zhong-min,

Ren Suo-quan,

Zhenlin Wu,

Huabin Zhang

Publication year - 2012

Publication title -

international journal of engineering and manufacturing

Language(s) - English

Resource type - Journals

eISSN - 2306-5982

pISSN - 2305-3631

DOI - 10.5815/ijem.2012.01.12

Subject(s) - boundary value problem , nonlinear system , multiplicity (mathematics) , mathematics , fixed point theorem , multi point , fixed point index , mathematical analysis , third order , order (exchange) , differential equation , point (geometry) , cone (formal languages) , physics , geometry , algorithm , economics , political science , finance , quantum mechanics , law

In this paper, we study the two-point boundary value problems for systems of nonlinear third-order dierential equations .Under some conditions, we show the existence and multiplicity of positive solutions of the above problem by applying the fixed point theorems in cones.

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