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
In this paper, we consider the differential equation f''+ Af'+ Bf = 0, where A(z) and B(z) ≡ 0are entire functions. Assume that A(z) has a finite deficient value, then we will give some conditions on B(z)...In this paper, we consider the differential equation f''+ Af'+ Bf = 0, where A(z) and B(z) ≡ 0are entire functions. Assume that A(z) has a finite deficient value, then we will give some conditions on B(z)which can guarantee that every solution f ≡ 0 of the equation has infinite order.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
We investigate the problem of growth order of solutions of a type of systems of non-linear algebraic differential equations, and extend some results of the growth order of solutions of algebraic differential equations...We investigate the problem of growth order of solutions of a type of systems of non-linear algebraic differential equations, and extend some results of the growth order of solutions of algebraic differential equations to systems of algebraic differential equations.展开更多
Using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron theory of entire functions, we investigate the problem of growth order of solutions of a type of systems of difference equat...Using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron theory of entire functions, we investigate the problem of growth order of solutions of a type of systems of difference equations, and extend some results of the growth order of solutions of systems of differential equations to systems of difference equations.展开更多
In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg...In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.展开更多
In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B whi...In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.展开更多
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.
文摘In this paper, we consider the differential equation f''+ Af'+ Bf = 0, where A(z) and B(z) ≡ 0are entire functions. Assume that A(z) has a finite deficient value, then we will give some conditions on B(z)which can guarantee that every solution f ≡ 0 of the equation has infinite order.
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supported by the Natural Science Foundationof China (10471065)the Natural Science Foundation of Guangdong Province (N04010474)
文摘We investigate the problem of growth order of solutions of a type of systems of non-linear algebraic differential equations, and extend some results of the growth order of solutions of algebraic differential equations to systems of algebraic differential equations.
基金supported by the Natural Science Foundation of China (10471065)the Natural Science Foundation of Guangdong Province (04010474)
文摘Using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron theory of entire functions, we investigate the problem of growth order of solutions of a type of systems of difference equations, and extend some results of the growth order of solutions of systems of differential equations to systems of difference equations.
基金Project supported by the National Natural Science Foundation of China.
文摘In this paper, we deal with the problem of uniqueness of meromorphic functions. It is shown that there exist two finite sets Sj (j=1, 2) such that any two nonconstant meromorphic functions f and g satisfying Ef(Sj)=Eg(Sj) for j = 1,2 must be identical, which answers a question posed by Gross.
基金Supported by National Natural Science Foundation of China(Grant No.11171080)Foundation of Science and Technology Department of Guizhou Province(Grant No.[2010]07)
文摘In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.
