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INFINITE SPLINE BOUNDARY ELEMENT METHOD AND ITS APPLICATION TO STRUCTURE-FOUNDATION INTERACTION
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作者 王有成 王章虎 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第1期53-61,共9页
In view of the infinity behaviors of 3-D Kelvin solution, we constructed an infinite spline boundary element which has fine precision in the analysis of the half space foundation subjected to uniform pressure on the c... In view of the infinity behaviors of 3-D Kelvin solution, we constructed an infinite spline boundary element which has fine precision in the analysis of the half space foundation subjected to uniform pressure on the circular domain. We also analysed a square plate resting on elastic half space foundation. The results indicate that this model not only fits for the coupled analysis of foundation and structures but also has the advantage of fewer degrees of freedom and fine precision. 展开更多
关键词 infinite spline boundary element structure-foundation interaction
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SINGULAR PERTURBATION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS ON INFINITE INTERVAL(Ⅱ)
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作者 赵为礼 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第11期1105-1116,共12页
In this paper the existence of solutions of the singularly perturbed boundary value problems on infinite interval for the second order nonlinear equation containing a small parameteris examined, where are constants, a... In this paper the existence of solutions of the singularly perturbed boundary value problems on infinite interval for the second order nonlinear equation containing a small parameteris examined, where are constants, and i=0,1 . Moreover, asymptotic estimates of the solutions for the above problems are given. 展开更多
关键词 Singular perturbations NONLINEAR boundary value problems on infinite interval existence of solutions asymptotic estimates.
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MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE 被引量:7
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作者 郭大钧 《Acta Mathematica Scientia》 SCIE CSCD 2012年第6期2176-2190,共15页
In this paper, the author discusses the multiple positive solutions for an infinite boundary value problem of first order impulsive singular integro-differential equations on the half line by means of the fixed point ... In this paper, the author discusses the multiple positive solutions for an infinite boundary value problem of first order impulsive singular integro-differential equations on the half line by means of the fixed point theorem of cone expansion and compression with norm type. 展开更多
关键词 impulsive singular integro-differential equation infinite boundary valueproblem fixed point theorem of cone expansion and compression with normtype
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MULTIPLE POSITIVE SOLUTIONS FOR FIRST ORDER IMPULSIVE SUPERLINEAR INTEGRO-DIFFERENTIAL EQUATIONS ON THE HALF LINE 被引量:3
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作者 Guo Dajun 《Acta Mathematica Scientia》 SCIE CSCD 2011年第3期1167-1178,共12页
In this paper, the author discusses the multiple positive solutions for an infinite boundary value problem of first order impulsive superlinear integro-differential equations on the half line by means of the fixed poi... In this paper, the author discusses the multiple positive solutions for an infinite boundary value problem of first order impulsive superlinear integro-differential equations on the half line by means of the fixed point theorem of cone expansion and compression with norm type. 展开更多
关键词 impulsive superlinear integro-differential equation infinite boundary value problem fixed point theorem of cone expansion and compression with norm type
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EXISTENCE OF POSITIVE SOLUTION TO TWO-POINT BOUNDARY VALUE PROBLEM FOR A SYSTEM OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
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作者 Xing Meihong, Zhang Kemei (Dept. of Math., Qufu Normal University, Qufu 273165, Shandong) 《Annals of Differential Equations》 2009年第1期74-79,共6页
In this paper, we consider a two-point boundary value problem for a system of second order ordinary differential equations. Under some conditions, we show the existence of positive solution to the system of second ord... In this paper, we consider a two-point boundary value problem for a system of second order ordinary differential equations. Under some conditions, we show the existence of positive solution to the system of second order ordinary differential equa-tions. 展开更多
关键词 mixed monotone operator infinite boundary value problems positive solution ordinary differential equation
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