In this paper, we investigate the growth of solutions to some linear diferential equations with analytic coefcients in the unit disc. When the coefcients of these equations have some special properties near a point on...In this paper, we investigate the growth of solutions to some linear diferential equations with analytic coefcients in the unit disc. When the coefcients of these equations have some special properties near a point on the boundary of the unit disc, the order and the hyper order of the solutions to these equations are estimated accurately. Especially, our conditions on the coefcients are more general and the results on the hyper order of the solutions are new to some extent.展开更多
This paper deals with the blow-up properties of positive solutions to a coupled semilinear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. Under appropriate hypotheses, the global existence a...This paper deals with the blow-up properties of positive solutions to a coupled semilinear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. Under appropriate hypotheses, the global existence and finite time blow-up of solutions are proved. Moveover, the upper bound of blow-up rate is obtained.展开更多
In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this pap...In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this paper improve and extend the previous results of J. Tu, 2013.展开更多
基金supported by the National Natural Science Foundation of China(11301233 and 11171119)the Natural Science Foundation of Jiangxi Province(20114BAB211003 and 20122BAB211005)
文摘In this paper, we investigate the growth of solutions to some linear diferential equations with analytic coefcients in the unit disc. When the coefcients of these equations have some special properties near a point on the boundary of the unit disc, the order and the hyper order of the solutions to these equations are estimated accurately. Especially, our conditions on the coefcients are more general and the results on the hyper order of the solutions are new to some extent.
文摘This paper deals with the blow-up properties of positive solutions to a coupled semilinear parabolic system with nonlinear nonlocal sources and nonlocal boundaries. Under appropriate hypotheses, the global existence and finite time blow-up of solutions are proved. Moveover, the upper bound of blow-up rate is obtained.
基金Supported by the National Natural Science Foundation of China(Grant No.11301233)the Natural Science Foundation of Jiangxi Province(Grant No.20132BAB211002)the Youth Science Foundation of Education Bureau of Jiangxi Province(Grant No.GJJ14271)
文摘In this paper, we investigate the growth and value distribution of meromorphic solutions to higher order linear differential equations with some dominating coefficient being Lacunary series and the results of this paper improve and extend the previous results of J. Tu, 2013.
