Since grey system theory was established by prof. Deng, GM models and their improvements have all taken the first vector of the original sequence as the initialization, which resulted to deficiency in making use of th...Since grey system theory was established by prof. Deng, GM models and their improvements have all taken the first vector of the original sequence as the initialization, which resulted to deficiency in making use of the latest information. Based on the principle, which new information should be used fully, we think it is scientific to pay more attention to the new information or endow them a more weigh. So, this paper deals with the GM improvement by taking the n-th vector as the initialization, and gets great improvement in forecasting precision. Last, we validate the practicability and reliability of the models with examples.展开更多
In this paper we consider the biharmonic equation (?) in a smooth bounded domain Ω (?) RN with boundary condition (?) where N ≥5, 1 < q < 2, λ>0 and 2= (2N)/(N-4). We prove the existence of λ such that fo...In this paper we consider the biharmonic equation (?) in a smooth bounded domain Ω (?) RN with boundary condition (?) where N ≥5, 1 < q < 2, λ>0 and 2= (2N)/(N-4). We prove the existence of λ such that for 0 < λ < λ the above problem has a positive solution.展开更多
基金This project was supported by Specially-Employed Professor Foundation of NUAA( 1009-260812)Ph. D Foundation of Na-tional Department of Education(20020287001)+1 种基金Natural Science Foundation of Jiangsu Province(BK2003211) Ph. D Foundation of Nanjing Unive
文摘Since grey system theory was established by prof. Deng, GM models and their improvements have all taken the first vector of the original sequence as the initialization, which resulted to deficiency in making use of the latest information. Based on the principle, which new information should be used fully, we think it is scientific to pay more attention to the new information or endow them a more weigh. So, this paper deals with the GM improvement by taking the n-th vector as the initialization, and gets great improvement in forecasting precision. Last, we validate the practicability and reliability of the models with examples.
基金Supported by National Natural Science Foundation of China(l0171032)Natural Science Foundation of Guangdong Province(011606).
文摘In this paper we consider the biharmonic equation (?) in a smooth bounded domain Ω (?) RN with boundary condition (?) where N ≥5, 1 < q < 2, λ>0 and 2= (2N)/(N-4). We prove the existence of λ such that for 0 < λ < λ the above problem has a positive solution.
