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ON ALTERNATIVE OPTIMAL SOLUTIONS TO QUASIMONOTONIC PROGRAMMING WITH LINEAR CONSTRAINTS 被引量:3
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作者 Xue Shengjia 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第1期119-125,共7页
In this paper, the nonlinear programming problem with quasimonotonic ( both quasiconvex and quasiconcave )objective function and linear constraints is considered. With the decomposition theorem of polyhedral sets, t... In this paper, the nonlinear programming problem with quasimonotonic ( both quasiconvex and quasiconcave )objective function and linear constraints is considered. With the decomposition theorem of polyhedral sets, the structure of optimal solution set for the programming problem is depicted. Based on a simplified version of the convex simplex method, the uniqueness condition of optimal solution and the computational procedures to determine all optimal solutions are given, if the uniqueness condition is not satisfied. An illustrative example is also presented. 展开更多
关键词 quasimonotonic programming problem polyhedral set decomposition theorem alternative optimal solution convex simplex method
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NONTRIVIAL SOLUTION OF A NONLINEAR SECOND-ORDER THREE-POINT BOUNDARY VALUE PROBLEM 被引量:2
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作者 Li Shuhong Sun Yongping Department of Mathematics, Lishui University, Lishui 323000,China Department of Applied Mathematics, Zhejiang Sci-Tec University, Hangzhou 310018, China Department of Electron and Information, Zhejiang University of Media and Communications, Hangzhou 310018, China. 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2007年第1期37-47,共11页
In this paper, for a second-order three-point boundary value problem u″+f(t,u)=0,0〈t〈1,au(0)-bu′(0)=0,u(1)-au(η)=0,where η∈ (0, 1), a, b, α ∈R with a^2 + b^2 〉 0, the existence of its nontrivia... In this paper, for a second-order three-point boundary value problem u″+f(t,u)=0,0〈t〈1,au(0)-bu′(0)=0,u(1)-au(η)=0,where η∈ (0, 1), a, b, α ∈R with a^2 + b^2 〉 0, the existence of its nontrivial solution is studied. The'conditions on f which guarantee the existence of nontrivial solution are formulated. As an application, some examples to demonstrate the results are given. 展开更多
关键词 three-point boundary value problem nonlinear alternative of Leray-Schauder nontrivial solution.
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Landscape and Road Integration in Greece
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作者 K. Hadjibiros D. Argyropoulos 《Journal of Environmental Science and Engineering》 2011年第10期1381-1387,共7页
This paper concerns the Strategic Environmental Assessment of the construction of some major Greek motorways: the Ionia Motorway, the Peloponnese Motorway and the Athens-Lamia Motorway. In the beginning the natural a... This paper concerns the Strategic Environmental Assessment of the construction of some major Greek motorways: the Ionia Motorway, the Peloponnese Motorway and the Athens-Lamia Motorway. In the beginning the natural and cultural diversity of the Greek landscape as well as its conservation needs are discussed. The landscape impact assessment methodology consists of the identification of environmental goals, of sensitive landscape parameters, of environmental indicators and of acceptable impact thresholds. The selection of alternative solutions as well as of mitigation measures has been studied, on the basis of relevant environmental indicators. The developed methodology may constitute a tool for the environmental management of other road programs of great scale. 展开更多
关键词 MOTORWAY landscape parameters INDICATORS thresholds alternative solutions mitigation.
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EMERGENT PERMITTING STRATEGIES FOR NATURAL BUILDING SYSTEMS IN ONTARIO
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作者 Craig Brown 《Journal of Green Building》 2011年第4期17-25,共9页
INTRODUCTION Lowering the carbon intensity of the built environment is one of many tasks that must be undertaken in order to address climate change and to encourage sustainability.The siting,design,construction,occupa... INTRODUCTION Lowering the carbon intensity of the built environment is one of many tasks that must be undertaken in order to address climate change and to encourage sustainability.The siting,design,construction,occupancy,renovation,and disposal of single-family homes are all factors that contribute to the large carbon emissions generated by the sector.There are numerous strategies that seek to minimize the amount of emissions generated by a house during its lifecycle.This paper explores the use of so-called natural building systems in building envelope construction. 展开更多
关键词 Ontario Building Code alternative solutions natural building systems home construction permit
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An Upper and Lower Solution Theory for the Problem(G′(y))′+f(t,y)=0 on Finite and Infinite Intervals 被引量:2
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作者 Ravi P.AGARWAL Donal O'REGAN Svatoslav STANEK 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2006年第3期827-832,共6页
A new upper and lower solution theory is presented for the second order problem (G'(y))'+ f(t, y) = 0 on finite and infinite intervals. The theory on finite intervals is based on a Leray-Schauder alternative,... A new upper and lower solution theory is presented for the second order problem (G'(y))'+ f(t, y) = 0 on finite and infinite intervals. The theory on finite intervals is based on a Leray-Schauder alternative, where as the theory on infinite intervals is based on results on the finite interval and a diagonalization process. 展开更多
关键词 alternative upper and lower solutions infinite interval diagonalization process Leray-Schauder alternative
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