http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
New proofs about the number of empty convex 4-gons and 5-gons in a planar point set
Yatao Du,Ren Ding 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.19 No.1-2
The present article discusses the number of empty convex 4- gons and empty convex 5-gons in a finite planar point set. New proofs are provided for the two related important results.
More on cutting a polygon into triangles ofequal areas
Yatao Du,Ren Ding 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1-2
In 2000 a general conjecture was proposed: a special polygon cannot be cut into an odd number of triangles of equal areas. It has been proved that the conjecture holds for polygons with at most six sides. In this paper we prove the existence of special n-polygon for any integer n > 6 and discuss the conjecture for special polygons with seven sides.
NEW PROOFS ABOUT THE NUMBER OF EMPTY CONVEX 4-GONS AND 5-GONS IN A PLANAR POINT SET
DU, YATAO,DING, REN 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.19 No.1
The present article discusses the number of empty convex 4-gons and empty convex 5-gons in a finite planar point set. New proofs are provided for the two related important results.
MORE ON CUTTING A POLYGON INTO TRIANGLES OF EQUAL AREAS
DU, YATAO,DING, REN 한국전산응용수학회 2005 Journal of applied mathematics & informatics Vol.17 No.1
In 2000 a general conjecture was proposed: a special polygon cannot be cut into an odd number of triangles of equal areas. It has been proved that the conjecture holds for polygons with at most six sides. In this paper we prove the existence of special n-polygon for any integer n > 6 and discuss the conjecture for special polygons with seven sides.
TRIPLE SOLUTIONS FOR THREE-ORDER PERIODIC BOUNDARY VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITY
Huixuan Tan,Hanying Feng,Xingfang Feng,Yatao Du 한국전산응용수학회 2014 Journal of applied mathematics & informatics Vol.32 No.1
In this paper, we consider the periodic boundary value problem with sign changing nonlinearity u′′′+ ρ³u = ∫(t,u), t∈2 [0,2π], subject to the boundary value conditions: u(i)(0) = u(i)(2π), i = 0,1,2, where ρ∈(0, 1/√3) is a positive constant and f(t,u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.
TRIPLE SOLUTIONS FOR THREE-ORDER PERIODIC BOUNDARY VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITY
Tan, Huixuan,Feng, Hanying,Feng, Xingfang,Du, Yatao The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.1
In this paper, we consider the periodic boundary value problem with sign changing nonlinearity $$u^{{\prime}{\prime}{\prime}}+{\rho}^3u=f(t,u),\;t{\in}[0,2{\pi}]$$, subject to the boundary value conditions: $$u^{(i)}(0)=u^{(i)}(2{\pi}),\;i=0,1,2$$, where ${\rho}{\in}(o,{\frac{1}{\sqrt{3}}})$ is a positive constant and f(t, u) is a continuous function. Using Leggett-Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is the nonlinear term f may change sign.