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Search Results: 1 - 10 of 2861 matches for " Yaojun Geng "
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On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation  [PDF]
Yaojun Ye
Applied Mathematics (AM) , 2010, DOI: 10.4236/am.2010.16070
Abstract: This paper deals with the initial boundary value problem for a class of nonlinear Kirchhoff-type equations with strong dissipative and source terms in a bounded domain, where and are constants. We obtain the global existence of solutions by constructing a stable set in and show the energy exponential decay estimate by applying a lemma of V. Komornik.
Financial Intermediation Development and Total Factor Productivity Growth: Evidence from Chinese Mainland Provincial Panel Data  [PDF]
Yaojun Yao
Modern Economy (ME) , 2011, DOI: 10.4236/me.2011.25097
Abstract: Modern financial development theories suggest that, financial development can promote technological progress and long-term economic growth. Based on the Chinese mainland provincial panel data, the paper tests empirically the relationship between financial intermediation development and total factor productivity growth. In terms of the degree-of-freedom of bank loan decision-making, the ratio of loans of private enterprises and individuals to total loans is used to measure the development of Chinese financial intermediation. This paper finds that financial intermediation development significantly promotes total factor productivity growth when controlling for other variables, such as capital formation rate, foreign direct investment, government intervention and the urbanization level.
TAGCNA: A Method to Identify Significant Consensus Events of Copy Number Alterations in Cancer
Xiguo Yuan, Junying Zhang, Liying Yang, Shengli Zhang, Baodi Chen, Yaojun Geng, Yue Wang
PLOS ONE , 2012, DOI: 10.1371/journal.pone.0041082
Abstract: Somatic copy number alteration (CNA) is a common phenomenon in cancer genome. Distinguishing significant consensus events (SCEs) from random background CNAs in a set of subjects has been proven to be a valuable tool to study cancer. In order to identify SCEs with an acceptable type I error rate, better computational approaches should be developed based on reasonable statistics and null distributions. In this article, we propose a new approach named TAGCNA for identifying SCEs in somatic CNAs that may encompass cancer driver genes. TAGCNA employs a peel-off permutation scheme to generate a reasonable null distribution based on a prior step of selecting tag CNA markers from the genome being considered. We demonstrate the statistical power of TAGCNA on simulated ground truth data, and validate its applicability using two publicly available cancer datasets: lung and prostate adenocarcinoma. TAGCNA identifies SCEs that are known to be involved with proto-oncogenes (e.g. EGFR, CDK4) and tumor suppressor genes (e.g. CDKN2A, CDKN2B), and provides many additional SCEs with potential biological relevance in these data. TAGCNA can be used to analyze the significance of CNAs in various cancers. It is implemented in R and is freely available at http://tagcna.sourceforge.net/.
Self-Similar Solutions for Nonlinear Schr?dinger Equations
Yaojun Ye
Mathematical Problems in Engineering , 2009, DOI: 10.1155/2009/298980
Abstract: We study the self-similar solutions for nonlinear Schrödinger type equations of higher order with nonlinear term || by a scaling technique and the contractive mapping method. For some admissible value , we establish the global well-posedness of the Cauchy problem for nonlinear Schrödinger equations of higher order in some nonstandard function spaces which contain many homogeneous functions. we do this by establishing some nonlinear estimates in the Lorentz spaces or Besov spaces. These new global solutions to nonlinear Schrödinger equations with small data admit a class of self-similar solutions.
Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations
Yaojun Ye
International Journal of Differential Equations , 2007, DOI: 10.1155/2007/19685
Abstract: This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality.
Global Self-similar Solutions of a Class of Nonlinear Schr dinger Equations
Yaojun YE
Abstract and Applied Analysis , 2008, DOI: 10.1155/2008/836124
Abstract:
Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation
Yaojun Ye
Advances in Difference Equations , 2010, DOI: 10.1155/2010/357404
Abstract:
Exponential Decay of Energy for Some Nonlinear Hyperbolic Equations with Strong Dissipation
Ye Yaojun
Advances in Difference Equations , 2010,
Abstract: The initial boundary value problem for a class of hyperbolic equations with strong dissipative term in a bounded domain is studied. The existence of global solutions for this problem is proved by constructing a stable set in and showing the exponential decay of the energy of global solutions through the use of an important lemma of V. Komornik.
Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher-Order Wave Equation
Ye Yaojun
Journal of Inequalities and Applications , 2010,
Abstract: The initial boundary value problem for a class of nonlinear higher-order wave equation with damping and source term in a bounded domain is studied, where , is a nature number, and and are real numbers. The existence of global solutions for this problem is proved by constructing the stable sets and shows the asymptotic stability of the global solutions as time goes to infinity by applying the multiplier method.
Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher-Order Wave Equation
Yaojun Ye
Journal of Inequalities and Applications , 2010, DOI: 10.1155/2010/394859
Abstract: The initial boundary value problem for a class of nonlinear higher-order wave equation with damping and source term utt+Au+a|ut|p 1ut=b|u|q 1u in a bounded domain is studied, where A=( Δ)m, m≥1 is a nature number, and a,b>0 and p,q>1 are real numbers. The existence of global solutions for this problem is proved by constructing the stable sets and shows the asymptotic stability of the global solutions as time goes to infinity by applying the multiplier method.
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