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1.
讨论了一类奇异扩散方程ut=Δu^m+f(u)具齐次Neumann边值条件解的渐近性质.结果表明:1)若f(u)=-u^α,且u(x,t)是该问题在QT上的解,则t≤T0,此处T0=(max u0 x∈Ω)^1-α/(1-α) ;2)存在正常数c1,δ1,c2,δ2,使得‖▽u^m‖L^2(Ω)≤c1e^-δ1t以及‖u‖L^2(Ω)≤c2e^-δ2t.  相似文献   

2.
目的讨论了一种特殊二阶变系数齐次线性方程的求解问题。方法利用降阶法研究了变系数二阶线性微分方程u(x)y″+v(x)y′+w(x)y=0的可解性。结果得到了一个可解的条件:如果微分算子u(x)(d~2)/(dx~2)+v(x)d/(dx)+w(x)刚好可以分解为(pd/(dx)+q)(rd/(dx)+s),那么方程是可积的。结论给出了求通解的方法和通解表达式。  相似文献   

3.
利用初等方法研究了不定方程1/x+1/y+1/z+1/w+1/xyzw=1/z+1/w以及1/x+1/y+1/z=1/w+1/xyzw的正整数解问题,分别给出了它们的全部正整数解的公式:(x,y,z,w)=[(n+k,n(n+k)-d]/k,n2(n+k)2-n(n+k)d-k/kd,n)其中n,k,d为正整数,  相似文献   

4.
利用初等方法研究了不定方程1/x+1/y+1/z+1/w+1/xyzw=1/z+1/w以及1/x+1/y+1/z=1/w+1/xyzw的正整数解问题,分别给出了它们的全部正整数解的公式:(x,y,z,w)=[(n+k,n(n+k)-d]/k,n2(n+k)2-n(n+k)d-k/kd,n)其中n,k,d为正整数,  相似文献   

5.
通过对偶喷泉定理,证明了当参数λ很小且1< q< 2 < p ≤ 2*=2N/N-2,0 ≤μ≤μ*时,方程-△u+u-μu/|χ|2=|u|p-2 u∈Ω、{0}δu/δv=λ|u|q-2u u∈δΩ有无穷多个解.  相似文献   

6.
何涛  陈丹  范万新  廖克杰 《安徽农业科学》2011,(19):11756-11759,11777
[目的]为有效调节大棚内的光照、气温和湿度提供理论依据。[方法]对3种常见结构塑料大棚内外150cm的冬季光照、气温和湿度等气象要素进行对比观测、分析,建立预测不同结构大棚气象要素值的多种数学模型。[结果]单栋塑料大棚的光照预测模型以多项式y=-0.0006x3+0.0029x2+0.7404x+0.0799最为确切,气温预测模型以乘幂y=0.7593x1.1554最为确切,相对湿度预测模型以多项式y=0.00000003x5-0.0001x4+0.0131x3-0.8732x2+29.823-347.99最为确切;3连栋塑料大棚的光照预测模型以多项式y=-0.0005x2+0.47061x-0.015最为确切,气温预测模型以指数函数y=4.6629e0.089x最为确切,相对湿度预测模型以多项式y=-0.0004x3+0.0136x2+0.2051x+35.056最为确切;6连栋塑料大棚的光照预测模型以直线y=0.3996x+0.0536,最为确切,气温预测模型以指数函数y=4.6227e0.0897x最为确切,相对湿度预测模型以多项式y=-0.00008x3+0.089x2+0.6459x+21.191最为确切。[结论]建立了冬季以棚外气象要素值预测不同结构大棚内气象要素值的数学模型。  相似文献   

7.
通过上下解方法和极大值原理, 证明了当ε很小时, 椭圆系统-Δu=(e)F/(e)u(x, u, v)+εg(x) x∈Ω -Δv=(e)F/(e)v(x, u, v)+εh(x) x∈Ω u>0, v>0 x∈Ω u=v=0x∈(e)Ω的极小正解的存在性, 其中Ω是RN上的有界光滑区域; F∈C1(Ω-×(R+)2, R+); g,h∈C1(Ω-);ε是正参数. 此外, 也证明了当ε很大时该系统无解.  相似文献   

8.
关于一类合作椭圆系统的正解   总被引:1,自引:0,他引:1       下载免费PDF全文
通过上下解方法和极大值原理, 证明了当ε很小时, 椭圆系统-Δu=(e)F/(e)u(x, u, v) εg(x) x∈Ω -Δv=(e)F/(e)v(x, u, v) εh(x) x∈Ω u>0, v>0 x∈Ω u=v=0x∈(e)Ω的极小正解的存在性, 其中Ω是RN上的有界光滑区域; F∈C1(Ω-×(R )2, R ); g,h∈C1(Ω-);ε是正参数. 此外, 也证明了当ε很大时该系统无解.  相似文献   

9.
研究了正交Euler-Lagrange型三次方程Ef(x,y)f(mx+y)+f(mx-y)-mf(x+y)-mf(x-y)-2m(m2-1)f(x)=0在混合型积和函数F(x,y)=ε{xEpypE+(xE2p+yE2p)}和泛函H(x,y)限制下的Ulam稳定性.  相似文献   

10.
关于Diophantine方程的一类求解问题   总被引:1,自引:0,他引:1  
对于正整数a,设δ(a)是a的约数和,证明了Diophantine方程δ(x3)=y2没有正整数解(x,y)适合x=4p,其中p是奇素数.  相似文献   

11.
In order to clarify the interactive mechanism between grazing yak and alpine meadow on the Qinghai-Tibetan Plateau,our study assessed seed density(by species) in the topsoil of alpine meadow with different grazing intensities in the Tianzhu area,north-eastern margins of the Qinghai-Tibetan Plateau and their rates of occurrence in yak dung.Seed density in the topsoil of the lightly grazed,moderately grazed,heavily grazed and extremely grazed alpine meadows in November,2010 were 1 551,1 692,2 660 and 1 830 grains m-2,while in the same meadows in April,2011 densities were 1 530,2 404,2 530 and 2 692 grains m-2,respectively.In the cold season pasture,mean seed density in yak dung from November to April in the lightly grazed,moderately grazed,heavily grazed and extremely grazed sites were 121,127,187,and 120 grains kg-1of dry yak dung.The proportion of total seed numbers in yak dung to soil seed bank in lightly grazed,moderately grazed,heavily grazed and extremely grazed alpine meadow was 1.40,2.62,0.69,and 0.90%.12 species out of the 47 were not found in topsoil but were found in yak dung,10 species out of 45 were not found in yak dung but were found in the topsoil.Endozoochorous dispersal by yaks is therefore very important for soil seed bank and plant biodiversity and population dynamics in alpine meadows.  相似文献   

12.
Triticum aestivum-Hayaldia villosa translocation line V3 has shown effective all-stage resistance to the seven dominant pathotypes of Puccinia striiforms f.sp.tritici prevalent in China.To elucidate the genetic basis of the resistance,the segregating populations were developed from the cross between V3 and susceptible genotype Mingxian 169,seedlings of the parents and F 2 progeny were tested with six prevalent pathotypes,including CYR29,CYR31,CYR32-6,CYR33,Sun11-4,and Sun11-11,F 1 plants and F 3 lines were also inoculated with Sun11-11 to confirm the result further.The genetic studied results showed that the resistance of V3 against CYR29 was conferred by two dominant genes,independently,one dominant gene and one recessive gene conferring independently or a single dominant gene to confer resistance to CYR31,two complementary dominant genes conferring resistance to both CYR32-6 and Sun11-4,two independently dominant genes or three dominant genes(two of the genes show cumulative effect) conferring resistance to CYR33,a single dominant gene for resistance to Sun11-11.Resistance gene analog polymorphism(RGAP) and simple-sequence repeat(SSR) techniques were used to identify molecular markers linked to the single dominant gene(temporarily designated as YrV3) for resistance to Sun11-11.A linkage map of 2 RGAP and 7 SSR markers was constructed for the dominant gene using data from 221 F 2 plants and their derived F 2:3 lines tested with Sun11-11 in the greenhouse.Amplification of the complete set of nulli-tetrasomic lines of Chinese Spring with a RGAP marker RG1 mapped the gene on the chromosome 1B,and then the linked 7 SSR markers located this gene on the long arm of chromosome 1B.The linkage map spanned a genetic distance of 25.0 cM,the SSR markers Xgwm124 and Xcfa2147 closely linked to YrV3 with genetic distances of 3.0 and 3.8 cM,respectively.Based on the linkage map,it concluded that the resistance gene YrV3 was located on chromosome arm 1BL.Given chromosomal location,the reaction patterns and pedigree analysis,YrV3 should be a novel gene for resistance to stripe rust in wheat.These closely linked markers should be useful in stacking genes from different sources for wheat breeding and diversification of resistance genes against stripe rust.  相似文献   

13.
《农业科学与技术》2013,(10):1429-1431
[Objective] The aim was to research the influence of gradient dosages of seedling-strengthening agent (SSA) on rice seedling quality and yield. [Method] The influence of four dosages of SSA on late rice seedling quality and yield was investi- gated, using Oryza sativa cv. Yongyou 9 and Huanghuazhan as test materials. [Re- sult] The results showed that applying SSA significantly increased several indexes of seedling quality including the leaf age, basal stem width and dry matter weight. In addition, SSA greatly increased the rice yield, mainly through influencing two yield component factors, effective panicle number and grain number per panicle. [Conclu- sion] SSA was beneficial to nurse strong seedling which satisfied mechanical trans- plant and improve yield. Considered both seedling quality and yield trait, the optimal SSA dosage is 50 g/m2 under this cultivating condition.  相似文献   

14.
Genes resistant to Aleurotrachelus socialis were transferred to the F 1 from the interspecific hybrid wild species of Manihot flabellifolia to M.esculenta and two advanced generations of backcrosses(BC 1 and BC 2).We characterized the resistance of A.socialis transferred to BC 2 parents(CW67-160,CW67-130,CW67-44),MTAI-8(BC 1),resistant(CMB9B-73) and susceptible(CMB9B-104) genotypes from contrasting pools,and resistant(MEcu-72) and susceptible(CMC-40) genotypes.Whitefly demography and biology were evaluated.SSR molecular markers associated with a phenotypic response of plant resistance were detected in segregating populations(BC 2).Results showed that although female survival time was similar on all hosts,the lowest averages of longevity,fecundity and oviposition rate were observed in the resistant control MEcu- 72,only being significantly similar to the parent CW67-130.When the BC 1 and BC 2 populations were compared,it was found that A.socialis fecundity was eight times lower on CMB9B-73 progeny than on CW67-130,expressing the highest levels of resistance to the whitefly.Ten genotypes of CMB9A and CMB9B family had the best segregation.A total of 486 microsatellite primers were evaluated using bulked segregant analysis(BSA),11 showed polymorphism between the contrasting pools and only one showed significant differences between resistant and susceptible individuals.In conclusion,fecundity was the parameter that impacted most on the intrinsic rate of A.socialis population growth.  相似文献   

15.
Setosphaeria turcica,an essential phytopathogenic fungus,is the primary cause of serious yield losses in corn; however,its pathogenic mechanism is poorly understood.We cloned STK2,a newly discovered mitogen-activated protein kinase gene with a deduced amino acid sequence that is 96% identical to MAK2 from Phaeosphaeria nodorum,56% identical to KSS1 and 57% identical to FUS3 from Saccharomyces cerevisiae.To deduce Stk2 function in S.turcica and to identify the genetic relationship between STK2 and KSS1/FUS3 from S.cerevisiae,a restructured vector containing the open reading frame of STK2 was transformed into a fus3/kss1 double deletion mutant of S.cerevisiae.The results show that the STK2 complementary strain clearly formed pseudohyphae and ascospores,and the strain grew on the surface of the medium after rinsing with sterile water and the characteristics of the complementary strain was the same as the wild-type strain.Moreover,STK2 complemented the function of KSS1 in filamentation and invasive growth,as well as the mating behavior of FUS3 in S.cerevisiae,however,its exact functions in S.turcica will be studied in the future research.  相似文献   

16.
A macro scale survey was performed to investigate the content of soil available nitrogen (N) and its spatial distribution in the main vegetable production areas of the Pearl River Delta.Preliminary enrichment-deficient index of available N was then developed,which was a base for increasing fertilizer application efficiency and vegetable yield as well as for constructing soil testing and fertilizing formula.In general,most of the vegetable growth areas in Pearl River Delta were N-deficient or medium-N-deficient.There was 30%-62% increase in yield of Chinese cabbage on the N-deficient soil after application of N; when soil available N content was less than 145 mg/kg,the yield increased with application of N fertilizer at a rate of 60-70 kg/hm^2.  相似文献   

17.
The β-1,3-glucan from yeast has been extensively examined for its immuno-enhancing effects in animals.However,investigation on the relationship among β-glucan,gut microbiota and immune-modulating effects remains limited particularly in pigs.Considering the critical roles of gut methanogens in the microbial fermentation,energy metabolism and disease resistance,we investigated the phylogenetic diversity of methanogens from fermented cultures of porcine colonic digesta with(G) or without(N) yeast β-glucan based on sequences of the archaeal 16S rRNA gene.A total of 145 sequences in the G library were assigned into 8 operational taxonomic units(OTUs) with the majority of sequences(114/145) related to strains Methanobrevibacter millerae or Methanobrevibacter gottschalkii with high identities ranging from 97.9 to 98.6%,followed by 23 sequences to Methanobrevibacter ruminantium,2 sequences to Methanobrevibacter smithii and one sequence to Methanobrevibacter wolinii.The 142 sequences in the N library were assigned to 2 OTUs with most sequences(127/142) related to strains M.millerae or M.gottschalkii with sequence identities ranging from 97.9 to 98.5%,and 15 sequences related to M.gottschalkii with 97.9% identity.Shannon diversity index showed that the G library exhibited significantly higher archaeal diversity(P0.05) and Libshuff analysis indicated the differences in the community structure between the two libraries were significant(P0.0001).In conclusion,the current study provides evidence that addition of yeast β-glucan significantly increased the diversity of methanogens in in vitro fermented porcine colonic digesta.  相似文献   

18.
《农业科学与技术》2013,(10):1446-1450,1453
In order to investigate the resistance of female silkworm moths to cold storage and their copulation and oviposition after cold storage, copulation and ovipo- sition experiments of Liangguang 2 silkworms and Guican 1 female silkworm moths were conduced under cold storage at 5 ~C for different durations. The results indi- cated that, after cold storage at 5 ~C with relative humidity of 75%, the resistance of female silkworm moths to cold storage varied with different varieties; to be specific, 9-Fu and 7.Xiang, parent silkworm varieties of Liangguang 2 with ancestry of mul- tivoltinism, were relatively resistant to cold storage, and their copulation capability was still at a high level after cold storage for 72 h. Oviposition capability also varied with different varieties and durations; to be specific, under 5 ~C conditions, between two parent silkworm varieties of Liangguang 2, female silkworm moths of 9-Fu achieved the best results within cold storage duration of 24 h, female silkworm moths of 7.Xiang achieved the best results within cold storage duration of 72 h; be- tween two parent silkworm varieties of Guican 1, female silkworm moths of Xinhang achieved the best results without cold storage, female silkworm moths of 826 achieved the best results within cold storage duration of 48 h.  相似文献   

19.
《农业科学与技术》2013,(10):1369-1374,1391
In this review, the carcass, meat quality, internal organs, basic nutrition component, amino acids (AAs), fatty acids, inosine monophosphate (IMP) and mus- cle fiber of Tibetan swine were summarized for the first time. The formation mecha- nism of excellent features was analyzed from the aspects of physiological traits, ge- ographical environments and constraint reasons. Thereby, the outstanding features of Tibetan swine could be extended continuously, and the poor characteristics should be improved in the future.  相似文献   

20.
《农业科学与技术》2013,(10):1517-1520,1525
The study has examined the tempo-spatial patterns of cultivated land use change in Jiangsu province. A principal component analysis (PCA) of 18 selected indicators of cultivated land use during the period 1970-2010 identified 2 main pat- terns of change in planting productivity and economic efficiency. A major shift from production-centered pattern to profit-oriented one occurred in 1984, the time of grain yield surplus and the mitigation of population pressure. In response to the impending Opened Market System, there was a notable tendency of higher efficiency and less productivity since 1997, as well as remarkable regional disparity of cultivated land use change spatially. It revealed a relative decrease in grain cropping share, crop- ping scale and cultivation intensity in South Jiangsu, especially in Tai-Lake region, and the reverse in North Jiangsu. Some suggestions for the future were finally dis- cussed from the above findings.  相似文献   

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