http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ASYMPTOTIC BEHAVIOR OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT
Yang, Yitao,Meng, Fanwei The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.1
The asymptotic behavior of solutions of higher order differential equations with deviating argument $$(py^{(n-1)}(t))'\;+\;\sum\limits_{i=1}^{n-1}ci(t)y^{(i-1)}(t)\;=\;f\[t,\;y(t),\;y'(t),\;{\ldots},\;y^{(n-1)}(t),\;y(\phi(t)),\;y'(\phi(t)),\;{\ldots},\;y^{(n-1)}\;(\phi(t))\]\;\;\;\;(1)$$ $t\;{\in}\;[0,\;\infty)$ is studied. Our technique depends on an integral inequality containing a deviating argument. From this we obtain some sufficient conditions under which all solutions of Eq.(1) have some asymptotic behavior.
DELAY-DEPENDENT GLOBAL ASYMPTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS
Yang, Yitao,Zhang, Yuejin The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.3
In this paper, the problem of delay-dependent stability analysis for cellular neural networks systems with time-varying delays was considered. By using a new Lyapunov-Krasovskii function, delay-dependant stability conditions of the delayed cellular neural networks systems are proposed in terms of linear matrix inequalities (LMIs). Examples are provided to demonstrate the reduced conservatism of the proposed stability results.
ASYMPTOTIC BEHAVIOR OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT
Yitao Yang,Fanwei Meng 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.1
The asymptotic behavior of solutions of higher order differential equations with deviating argument [수식]t∈[0,∞) is studied. Our technique depends on an integral inequality containing a deviating argument. From this we obtain some sufficient conditions under which all solutions of Eq.(1) have some asymptotic behavior.
DELAY-DEPENDENT GLOBAL ASYMPTOTIC STABILITY ANALYSIS OF DELAYED CELLULAR NEURAL NETWORKS
Yitao Yang,Yuejin Zhang 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.3
In this paper, the problem of delay-dependent stability analysis for cellular neural networks systems with time-varying delays was considered. By using a new Lyapunov-Krasovskii function,delay-dependant stability conditions of the delayed cellular neural networks systems are proposed in terms of linear matrix inequalities (LMIs). Examples are provided to demonstrate the reduced conservatism of the proposed stability results.
Yitao Yang,Yuejin Zhang 한국전산응용수학회 2016 Journal of applied mathematics & informatics Vol.34 No.3
In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for $p$-Laplacian with a parameter $$(\phi_{p}(D_{0^{+}}^{\alpha}u(t)))'+\lambda f(t,u(t))=0,\ \ \ 0<t<1,$$ $$D_{0^{+}}^{\alpha}u(0)=u(0)=u''(0)=0,\ \ \ u'(1)=\gamma u'(\eta),$$ where $\phi_{p}(s)=|s|^{p-2}s,\ p>1,\ D_{0^{+}}^{\alpha}$ is the Caputo's derivative, $\alpha\in (2,3],\ \eta,\gamma\in (0,1), \lambda>0$ is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem$$(\phi_{p}(D_{0^{+}}^{\alpha}u(t)))'+f(t,u(t))=0,\ \ \ 0<t<1,$$ $$D_{0^{+}}^{\alpha}u(0)=u(0)=u''(0)=0,\ \ \ u'(1)=\gamma u'(\eta),$$ where $\phi_{p}(s)=|s|^{p-2}s,\ p>1,\ D_{0^{+}}^{\alpha}$ is the Caputo's derivative, $\alpha\in (2,3],\ \eta,\gamma\in (0,1).$
YANG, YITAO,ZHANG, YUEJIN The Korean Society for Computational and Applied M 2016 Journal of applied mathematics & informatics Vol.34 No.3
In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0<t<1, $D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ<sub>p</sub>(s) = |s|<sup>p</sup><sup>−2</sup>s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0<t<1, $D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ<sub>p</sub>(s) = |s|<sup>p</sup><sup>−2</sup>s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).
EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR MULTIPOINT BOUNDARY VALUE PROBLEMS
Ji, Dehong,Yang, Yitao,Ge, Weigao The Korean Society for Computational and Applied M 2009 Journal of applied mathematics & informatics Vol.27 No.1
This paper deals with the multipoint boundary value problem for one dimensional p-Laplacian $({\phi}_p(u'))'(t)$ + f(t,u(t)) = 0, $t{\in}$ (0, 1), subject to the boundary value conditions: u'(0) - $\sum\limits^n_{i=1}{\alpha_i}u({\xi}_i)$ = 0, u'(1) + $\sum\limits^n_{i=1}{\alpha_i}u({\eta}_i)$ = 0. Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem.
Existence and multiplicity of positive solutions for multipoint boundary value problems
Dehong Ji,Yitao Yang,Weigao Ge 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.1
This paper deals with the multipoint boundary value problem for one dimensional p-Laplacian (φp(u‘))’(t) + f(t, u(t)) = 0, t ∈ (0, 1), subject to the boundary value conditions: <수식>,<수식> Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem. This paper deals with the multipoint boundary value problem for one dimensional p-Laplacian (φp(u‘))’(t) + f(t, u(t)) = 0, t ∈ (0, 1), subject to the boundary value conditions: <수식>,<수식> Using a fixed point theorem for operators on a cone, we provide sufficient conditions for the existence of multiple (at least three) positive solutions to the above boundary value problem.
Huayun Guo,Hao Yang,Yitao Tao,Dan Tang,Qiong Wu,Zhengfei Wang,Bo-Ping Tang 한국유전학회 2018 Genes & Genomics Vol.40 No.11
Cave shrimps from the genera Typhlatya, Stygiocaris and Typhlopatsa (TST complex) comprises twenty cave-adapted taxa, which mainly occur in the anchialine environment. Anchialine habitats may undergo drastic environmental fluctuations, including spatial and temporal changes in salinity, temperature, and dissolved oxygen content. Previous studies of crustaceans from anchialine caves suggest that they have possessed morphological, behavioral, and physiological adaptations to cope with the extreme conditions, similar to other cave-dwelling crustaceans. However, the genetic basis has not been thoroughly explored in crustaceans from anchialine habitats, which can experience hypoxic regimes. To test whether the TST shrimpcomplex hypoxia adaptations matched adaptive evolution of mitochondrial OXPHOS genes. The 13 OXPHOS genes from mitochondrial genomes of 98 shrimps and 1 outgroup were examined. For each of these genes was investigated and compared to orthologous sequences using both gene (i.e. branch-site and Datamonkey) and protein (i.e. TreeSAAP) level approaches. Positive selection was detected in 11 of the 13 candidate genes, and the radical amino acid changes sites scattered throughout the entire TST complex phylogeny. Additionally, a series of parallel/convergent amino acid substitutions were identified in mitochondrial OXPHOS genes of TST complex shrimps, which reflect functional convergence or similar genetic mechanisms of cave adaptation. The extensive occurrence of positive selection is suggestive of their essential role in adaptation to hypoxic anchialine environment, and further implying that TST complex shrimps might have acquired a finely capacity for energy metabolism. These results provided some new insights into the genetic basis of anchialine hypoxia adaptation.
Xiaokun Hu,Qiangqiang Zhao,Yitao Yang,Shaoke Wan,Yanhui Sun,Jun Hong 한국CDE학회 2023 Journal of computational design and engineering Vol.10 No.5
The rotation accuracy of a machine tool spindle is essential for ensuring the machining precision. Due to the existence of manufacturing and assembly errors, the rotation accuracy of the spindle will be inevitably impacted and degraded. Therefore, to reduce the influence of the errors and improve the work performance, this paper focuses on accuracy analysis for the spindle and a novel optimization-oriented skin model shape method to tackle this highly complex problem. First, a structural analysis of the spindle is carried out to elaborate the intractable full parallel collections in the assembly. Then, based on the iterative closest point method, the deviation propagation of the spindle considering complex full parallel collections is transformed into an optimization problem, in which the skin model shapes and small displacement torsor are utilized to represent the form and pose errors of the part, respectively. By solving the optimization problem, assembly accuracy analysis for the spindle in terms of full parallel connections and form errors is accordingly achieved. On this basis, the tolerance analysis model of the spindle is also comprehensively established by employing the corresponding error simulation. Finally, measurement experiments are conducted to validate the effectiveness of the proposed method. The experiments show the predicted rotation runout and tolerance magnitude are close to the testing results, therefore indicating the proposed method can provide effective accuracy analysis for spindles.