The author investigates the hyper order of solutions of the higher order linear equation, andimproves the results of M. Ozawa[15], G. Gundersen[6] and J. K. Langley[12].
In this paper, authors investigate the order of growth and the hyper order of solutions of a class of the higher order linear differential equation, and improve results of M. Ozawa, G. Gundersen and J.K. Langley, Li C...In this paper, authors investigate the order of growth and the hyper order of solutions of a class of the higher order linear differential equation, and improve results of M. Ozawa, G. Gundersen and J.K. Langley, Li Chun-hong.展开更多
In this paper. we investigate the growth of solutions of the second-order linear homogeneons differential equations with entire coefficients of the same order. and obtain precise estimates of the hyper-order of their ...In this paper. we investigate the growth of solutions of the second-order linear homogeneons differential equations with entire coefficients of the same order. and obtain precise estimates of the hyper-order of their solutions.展开更多
This paper investigates the growth of solutions of the equation f' + e -zf' + Q(z)f = 0 where the order (Q) = 1. When Q(z) = h(z)ebz, h(z) is nonzero polynomial, b ≠ -1 is a complex constant, every solution o...This paper investigates the growth of solutions of the equation f' + e -zf' + Q(z)f = 0 where the order (Q) = 1. When Q(z) = h(z)ebz, h(z) is nonzero polynomial, b ≠ -1 is a complex constant, every solution of the above equation has infinite order and the hyper-order 1. We improve the results of M. Frei, M. Ozawa, G. Gundersen and J. K. Langley.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
This paper is devoted to studying the growth problem, the zeros and fixed points distribution of the solutions of linear differential equations f″＋e^-zf′＋Q（z）f=F（z）,whereQ（z）≡h（z）e^cz and c∈R.
基金the National Natural Science Foundation of China(No.10161006)the Jiangxi Provincial Natural Science Foundation of China(No.001109).
文摘The author investigates the hyper order of solutions of the higher order linear equation, andimproves the results of M. Ozawa[15], G. Gundersen[6] and J. K. Langley[12].
基金This work is supported by the National Natural Science Foundation of China(10161006)the Natural Science Foundation of Jiangxi Prov(001109)Korea Research Foundation Grant(KRF-2001-015-DP0015)
文摘In this paper, authors investigate the order of growth and the hyper order of solutions of a class of the higher order linear differential equation, and improve results of M. Ozawa, G. Gundersen and J.K. Langley, Li Chun-hong.
基金This work is supported by the National Natural Science Foundation of China
文摘In this paper. we investigate the growth of solutions of the second-order linear homogeneons differential equations with entire coefficients of the same order. and obtain precise estimates of the hyper-order of their solutions.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 10161006) the Natural Science Foundation of Jiangxi Province.
文摘This paper investigates the growth of solutions of the equation f' + e -zf' + Q(z)f = 0 where the order (Q) = 1. When Q(z) = h(z)ebz, h(z) is nonzero polynomial, b ≠ -1 is a complex constant, every solution of the above equation has infinite order and the hyper-order 1. We improve the results of M. Frei, M. Ozawa, G. Gundersen and J. K. Langley.
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Tian Yuan Fund for Mathematics (Grant No.10426007)Shanghai Postdoctoral Scientific Program
文摘This paper is devoted to studying the growth problem, the zeros and fixed points distribution of the solutions of linear differential equations f″＋e^-zf′＋Q（z）f=F（z）,whereQ（z）≡h（z）e^cz and c∈R.
