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Theory of fractional hybrid differential equations with linear perturbations of second type
Hongling Lu, Shurong Sun, Dianwu Yang and Houshan Teng
Boundary Value Problems , 2013, DOI: 10.1186/1687-2770-2013-23
Abstract: MSC: 34A40, 34A12, 34A99.
Three point boundary value problems of fractional functional differential equations with delay
Yanan Li, Shurong Sun, Dianwu Yang and Zhenlai Han
Boundary Value Problems , 2013, DOI: 10.1186/1687-2770-2013-38
Abstract: In this paper, we study three point boundary value problems of the following fractional functional differential equations involving the Caputo fractional derivative: $$ \begin{array}{ll} ^CD^{\alpha}u(t)=f(t,u_{t},^CD^{\beta}{u(t)}),\; 0
Existence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales
Li Tongxing,Han Zhenlai,Sun Shurong,Yang Dianwu
Advances in Difference Equations , 2009,
Abstract: We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation on a time scale T. To dwell upon the importance of our results, one interesting example is also included.
Existence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales
Tongxing Li,Zhenlai Han,Shurong Sun,Dianwu Yang
Advances in Difference Equations , 2009, DOI: 10.1155/2009/562329
Abstract: We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation [x(t)+p(t)x(τ0(t))]ΔΔ+q1(t)x(τ1(t)) q2(t)x(τ2(t))=e(t) on a time scale . To dwell upon the importance of our results, one interesting example is also included.
Positive solutions to boundary-value problems of p-Laplacian fractional differential equations with a parameter in the boundary
Zhenlai Han,Hongling Lu,Shurong Sun,Dianwu Yang
Electronic Journal of Differential Equations , 2012,
Abstract: In this article, we consider the following boundary-value problem of nonlinear fractional differential equation with $p$-Laplacian operator $$displaylines{ D_{0+}^eta(phi_p(D_{0+}^alpha u(t)))+a(t)f(u)=0, quad 01$, $phi_p^{-1}=phi_q$, $1/p+1/q=1$, $0leqslantgamma<1$, $0leqslantxileqslant1$, $lambda>0$ is a parameter, $a:(0,1) o [0,+infty)$ and $f:[0,+infty) o[0,+infty)$ are continuous. By the properties of Green function and Schauder fixed point theorem, several existence and nonexistence results for positive solutions, in terms of the parameter $lambda$ are obtained. The uniqueness of positive solution on the parameter $lambda$ is also studied. Some examples are presented to illustrate the main results.
Critical load of sulfur deposition for ecosystemand its application in China
Zhao Dianwu,Zhang Xiaoshan,Yang Jianxin,
Zhao Dianwu,Zhang Xiaoshan,Yang Jianxin,Mao Jietai,Xiong Jiling
环境科学学报(英文版) , 1995,
Abstract: Current situation of air pollution of China is introduced. Critical loads for 4 types of soil in sensitiveareas of China have been calculated using methods of SSMB, Profile Medel and Magic Medel. Maps of criticalload , sulfur deposition of 1 990 and exceedance of sulfur deposition over critical load have been made. A casestudy of applying critical load map for abating acidification has ben made for Guizhou Province with respect tofour control scenarios. The result showed that evently emission reduction in whole province is not necessary,if critical loads are taken into consideration. Instead, reducing emissions from three big cities or moving LPSfrom sensitive areas to non-sensitive areas could also meet the requirement of environmental protection.
Noise Source Identification Applied in Electric Power Industry Using Microphone Arrays  [PDF]
Pengxiao Teng, Rilin Chen, Yichun Yang
Engineering (ENG) , 2013, DOI: 10.4236/eng.2013.51B028
Abstract: The noise source identification is an important issue in noise reduction and condition monitoring(CM) for machines in- site using microphone arrays. In this paper, we propose a new approach to optimize array configuration based on particles swarm optimization algorithm in order to improve noise source identification and condition monitoring performance. Two distinct optimized array configurations are designed under the certain conditions. Furthermore, an acoustic imaging equipment is developed to carry out experiments on transformer substation equipment and wind turbine generator, which demonstrate that the acoustic imaging system allows a high resolution in identifying main noise sources for noise reduction and abnormal noise sources for condition monitoring.
Existence of Solutions for the Boundary Value Problem of First Order Differential Difference Equations of Mixed Type
一阶线性混合型微分差分方程边值问题解的存在性
Yang Dianwu,Han Zhenlai,
杨殿武,韩振来
数学物理学报(A辑) , 2006,
Abstract: In this paper,by estimates of spectral of an integral operator,the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
Functional Multipotency of Stem Cells and Recovery Neurobiology of Injured Spinal Cords
Yang D. Teng
- , 2019, DOI: 10.1177/0963689719850088
Abstract: This invited concise review was written for the special issue of Cell Transplantation to celebrate the 25th anniversary of the American Society for Neural Therapy and Repair (ASNTR). I aimed to present a succinct summary of two interweaved lines of research work carried out by my team members and collaborators over the past decade. Since the middle of the 20th century, biomedical research has been driven overwhelmingly by molecular technology-based focal endeavors. Our investigative undertakings, however, were orchestrated to define and propose novel theoretical frameworks to enhance the field’s ability to overcome complex neurological disorders. The effort has engendered two important academic concepts: Functional Multipotency of Stem Cells, and Recovery Neurobiology of Injured Spinal Cords. Establishing these theories was facilitated by academic insight gleaned from stem cell-based multimodal cross-examination studies using tactics of material science, systems neurobiology, glial biology, and neural oncology. It should be emphasized that the collegial environment cultivated by the mission of the ASNTR greatly promoted the efficacy of inter-laboratory collaborations. Notably, our findings have shed new light on fundamentals of stem cell biology and adult mammalian spinal cord neurobiology. Moreover, the novel academic leads have enabled determination of potential therapeutic targets to restore function for spinal cord injury and neurodegenerative diseases
Wet Season Upwelling and Dry Season Chlorophyll-a Describe Interannual Growth Rates of Porites in Southern China
Teng Teng Yang, Nathalie Fairbank Goodkin
PLOS ONE , 2014, DOI: 10.1371/journal.pone.0099088
Abstract: Southern China hosts coral communities in marginal environments that are characterized by low linear extension rates, low coral cover and/or no reef formation, thus providing natural laboratories to study coral communities with below average growth rates. Here we compare the annual linear extension rates over 10 years (range 1.2 to 11.4 mm yr？1) of six Porites sp. coral cores collected from Hong Kong with monthly hydrographic data from the Hong Kong Environmental Protection Department. At all sites, low-density, dry season extension were more variable than high-density, wet season extension and on average, was lower at two of the three sites. We applied multi-variate linear regressions that revealed high-density, wet season band extension to inversely correlate most significantly to temperature (r = ？0.39, p<0.01). In contrast, low-density, dry season band extension was more variable and correlated most significantly with dry season chlorophyll-a (Chl-a) (r = 0.64, p<0.001). Additionally, we find that corals at the site with highest dry season Chl-a have the highest dry season extension lengths. Our findings indicate that relative mixing of fresh and salt water in the wet season and primary productivity in the dry season, and their influences on aragonite saturation, are likely to impact interannual coral extension variability in marginal environments.
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