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and Applied Analysis 3 We say that the linear boundary value problem 1.4 , 1.5 is nonresonant when its unique solution is the trivial one. If 1.4 , 1.5 is nonresonant, and let h : 1, T Z → R, by the virtue of the Fredholm’s alternative theorem, we can get that the discrete second-order periodic boundary value problem Δ2y t − 1 a t y t h t , t ∈ 1, T Z 2.2 y(More)
Ruyun Ma, Tianlan Chen, and Yanqiong Lu Department of Mathematics, Northwest Normal University, Lanzhou 730070, China Correspondence should be addressed to Ruyun Ma, ruyun ma@126.com Received 12 October 2010; Accepted 19 December 2010 Academic Editor: Marko Robnik Copyright q 2010 Ruyun Ma et al. This is an open access article distributed under the Creative(More)
Endometrial carcinogenesis may be related to the long-term effects of estradiol with no antagonism. However, how estradiol regulates cell proliferation is unknown. In the present study, through investigating the molecular events involved in estradiol induced angiogenics factors VEGF and bFGF, we found that estradiol induced endometrial cancer cell division,(More)
OBJECTIVE To explore the effects of mitogen-activated protein kinase (MAPK) pathway by estradiol induced vascular endothelial growth factor (VEGF) and basic fibroblast growth factor (bFGF) in endometrial cancer Ishikawa cells. METHODS The experiments were divided into 4 groups: E2 group (Ishikawa cells treated with 1 µmol/L estradiol for 30 minutes);(More)
and Applied Analysis 3 H4 f ∈ C R,R ; there exist two constants s2 < 0 < s1 such that f s2 f 0 f s1 0, f s > 0 for s ∈ 0, s1 ∪ s1,∞ , and f s < 0 for s ∈ −∞, s2 ∪ s2, 0 . The rest of this paper is organized as follows. In Section 2, we give some notations and the main results. Section 3 is devoted to proving the main results. 2. Statement of the Main(More)
and Applied Analysis 3 Ma and Xu 15 also applied the fixed point theorem in cones to obtain some results on the existence of generalized positive solutions. It is the purpose of this paper to show some new results on the existence and multiplicity of generalized positive solutions of 1.4 , 1.8 by Dancer’s global bifurcation theorem. To wit, we get the(More)
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