In this article, we apply the concept of hyper-order to higher order linear differential equations with periodic coefficients, investigate the existence and the form of its subnormal solution, and estimate the growth ...In this article, we apply the concept of hyper-order to higher order linear differential equations with periodic coefficients, investigate the existence and the form of its subnormal solution, and estimate the growth of all other solutions, and answer the question raised by Gundersen and Steinbart for more general periodic differential equations.展开更多
In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the questi...In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the question raised by Gundersen and Steinbart.展开更多
In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and estimate the growth of subnormal solutions and all other solutions. We also give a representati...In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and estimate the growth of subnormal solutions and all other solutions. We also give a representation of subnormal solutions of a class of higher order linear periodic differential equations.展开更多
基金supported by the Brain Pool Program of Korean Federation of Science and Technology Societies (072-1-3-0164)the National Natural Science Foundation of Guangdong Province in China (10871076)supported by the Research Fund Program of Research Institute for Basic Sciences,Pusan National University,Korea,2008,Project No RIBS-PNU-2008-101
文摘In this article, we apply the concept of hyper-order to higher order linear differential equations with periodic coefficients, investigate the existence and the form of its subnormal solution, and estimate the growth of all other solutions, and answer the question raised by Gundersen and Steinbart for more general periodic differential equations.
基金This work was supported by the Brain Pool Program of Korea Federation of Science and Technology Societies (No. 072-1-3-0164)NURI Academy of Banking, Derivatives and Seeurites and Insurance, and the Natural Science Foundation of Guangdong Province in China (Grant No. 06025059)
文摘In this paper, we investigate the existence and the form of subnormal solution for a class of second order periodic linear differential equations, estimate the growth properties of all solutions, and answer the question raised by Gundersen and Steinbart.
基金The first author is supported by National Natural Science Foundation of China （Grant No. 10871076） the second author is supported by the Research Fund Program of Research Institute for Basic Sciences, Pusan National University, Korea, 2009, Project No. RIBS-PNU-2010-0066000 The authors are grateful to the referees for a number of helpful suggestions to improve the paper.
文摘In this paper, we estimate the number of subnormal solutions for higher order linear periodic differential equations, and estimate the growth of subnormal solutions and all other solutions. We also give a representation of subnormal solutions of a class of higher order linear periodic differential equations.
