http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ON THE OSCILLATION OF SECOND-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES
Quanxin Zhang,Xia Song,Li Gao 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.1
By using the generalized Riccati transformation and the in-equality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations [수식]on a time scale T, here r ≥1 is the ratio of two positive odd integers with a and q real-valued positive right-dense continuous functions defined on T. Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.
Zhang, Quanxin,Song, Xia The Korean Society for Computational and Applied M 2011 Journal of applied mathematics & informatics Vol.29 No.1
In this paper, we study the oscillatory and asymptotic behavior of a class of second order nonlinear differential inequality with perturbation and establish several theorems by using classification and analysis, which develop and generalize some known results.
Zhang, Quanxin,Qiu, Fang,Gao, Li The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.3
This paper is concerned with oscillation property of solutions of a class of second order nonlinear differential equations with perturbation. Four new theorems of oscillation property are established. These results develop and generalize the known results. Among these theorems, two theorems in the front develop the results by Yan J(Proc Amer Math Soc, 1986, 98: 276-282), and the last two theorems in this paper are completely new for the second order linear differential equations.
ON THE OSCILLATION OF SECOND-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES
Zhang, Quanxin,Sogn, Xia,Gao, Li The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.1
By using the generalized Riccati transformation and the inequality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations $$(a(t)(x^{\Delta}(t))^{\gamma})^{\Delta}+q(t)f(x({\tau}(t)))=0$$ on a time scale $\mathbb{T}$, here ${\gamma}{\geq}1$ is the ratio of two positive odd integers with $a$ and $q$ real-valued positive right-dense continuous functions defined on $\mathbb{T}$. Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.
Quanxin Zhang,Xia Song 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.1
In this paper,we study the oscillatory and asymptotic behavior of a class of second order nonlinear differential inequality with perturbation and establish several theorems by using classification and analysis, which develop and generalize some known results.
QUANXIN ZHANG,FANG QIU,LI GAO 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.3
This paper is concerned with oscillation property of solutions of a class of second order nonlinear differential equations with perturbation. Four new theorems of oscillation property are established. These results develop and generalize the known results. Among these theorems, two the-orems in the front develop the results by Yan J(Proc Amer Math Soc, 1986,98: 276-282), and the last two theorems in this paper are completely new for the second order linear differential equations.
Quanxin Gao,Yanfeng Yue,Minghua Min,Shiming Peng,Zhaohong Shi,Jinbo Wang,Tao Zhang 한국통합생물학회 2018 Animal cells and systems Vol.22 No.4
The Kelp grouper Epinephelus moara is one of the most widely consumed and economically important marine fish in China. The species can tolerate a wide range of salinity, but genomic resources are not available, and the molecular mechanisms underlying adaptation to salinity at the transcriptomic level remain largely unclear. In this study, the transcriptomic responses of the liver of E. moara under low salinity were investigated using the Illumina digital gene expression system. After de novo assembly, 499,356 transcripts were generated and contributed 445,068 unigenes. A total of 14, 19, 33 and 3101 genes were differentially expressed following exposure to low salinity stress for 2, 6, 24 and 48 h, respectively. Only two genes were differentially expressed in all groups. Four genes related to metabolism and ambient salinity adaption were randomly selected to validate the differentially expressed genes (DEGs) by real-time PCR. Gene Ontology (GO) and Kyoto Encyclopaedia of Genes and Genomes (KEGG) pathway enrichment analysis were used to analyse the functional significance of DEGs, including those responding to salinity through diverse biological processes, cellular components, molecular functions, and pathways associated with metabolic and osmotic responses. This work provides new insight into the response to salinity challenges in E. moara, and the findings expand our knowledge of the molecular basis of metabolic regulation mechanisms in this species. Additionally, the transcriptional data provide a valuable resource for future molecular and genetic studies on E. moara.
Quanxin Bi,Bin Guo,Dongxu Zhang,Wenbin Guan 한국유전학회 2015 Genes & Genomics Vol.37 No.3
Xanthoceras sorbifolium is an economicallyimportant woody plant in China. Plant microRNAs (miRNAs)play a vital role in plant development. We usedSolexa technology to sequence a small RNA library fromthe buds, young and mature leaves, flowers, and developingseeds (10, 30, and 60 days after pollination) of X. sorbifoliumto identify conserved and novel miRNAs. Sequenceanalysis identified 49 conserved miRNAs belonging to 19miRNA families, as well as four novel miRNAs. An analysisof 10 miRNA sequences by qRT-PCR showed that allsequences were expressed and that they were dynamicallyregulated in different tissues. Finally, seven targets of thenovel miRNAs were predicted. This study opens up a newavenue for understanding the roles of miRNAs in X. sorbifolium.
Jiaang Zhang,Chang-E Ren,Quanxin Fu 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.9
This paper focuses on the adaptive event-triggered consensus control problem for a class of stochastic nonlinear multi-agent systems with unknown nonlinear control directions and external disturbances. The heterogeneous nonlinear dynamics and non-identical unknown control directions are discussed for different agents. The application of the event-triggered mechanism can effectively decrease the update frequency of the controller, and unknown nonlinear dynamics are solved by using fuzzy logic systems. Under the action of the designed distributed controller, all signals of this stochastic multi-agent systems can reach semi-globally uniformly ultimately bounded (SGUUB) in mean square. Furthermore, Zeno behavior can be ruled out by the existence of positive inter-event intervals. Finally, a simulation example is presented to verify the feasibility of the algorithm.
BOUNDED OSCILLATION FOR SECOND-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS
Song, Xia,Zhang, Quanxin The Korean Society for Computational and Applied M 2014 Journal of applied mathematics & informatics Vol.32 No.3
Two necessary and sufficient conditions for the oscillation of the bounded solutions of the second-order nonlinear delay differential equation $$(a(t)x^{\prime}(t))^{\prime}+q(t)f(x[{\tau}(t)])=0$$ are obtained by constructing the sequence of functions and using inequality technique.