共查询到20条相似文献,搜索用时 125 毫秒
1.
Feng Chun 《Annals of Differential Equations》2005,21(3):268-270
In this paper, we study the growth of the solutions for 1st kind of differential equations of higher order in the unit disc. We give a sufficient condition for all solutions of second order linear differential equation to be inadmissible and a sufficient condition for all solutions of higher order linear differential equation to be of infinite order. 相似文献
2.
In this paper,we study the periodic solutions to a type of differential delay equations with 2 k-1 lags.The 4 k-periodic solutions are obtained by using the variational method and the method of Kaplan-Yorke coupling system.This is a new type of differential delay equations compared with all the previous researches.And this paper provides a theoretical basis for the study of differential delay equations.An example is given to demonstrate our main results. 相似文献
3.
Meilong Zhan Xiumin Zheng 《Annals of Differential Equations》2014,(3):364-372
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. 相似文献
4.
LIYEZHOU CHENZONGXUAN 《高校应用数学学报(英文版)》1998,13(4):403-408
In this paper the order and the hyper-order of the solutions of higher-order homoge-neous linear differential equations is investigated. 相似文献
5.
高凌云 《数学物理学报(B辑英文版)》2010,30(3):932-938
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. 相似文献
6.
Some constructions of projectively flat Finsler metrics 总被引:6,自引:0,他引:6
MO Xiaohuan SHEN Zhongmin & YANG Chunhong LMAM School of Mathematical Sciences Peking University Beijing China Department of Mathematical Sciences Indiana University-Purdue University Indianapolis IN - USA Department of Mathematics Inner Mongolia University Hohhot China 《中国科学A辑(英文版)》2006,49(5):703-714
In this paper, we find some solutions to a system of partial differential equations that characterize the projectively flat Finsler metrics. Further, we discover that some of these metrics actually have the zero flag curvature. 相似文献
7.
Kwang Ho SHON 《中国科学A辑(英文版)》2007,50(6):786-800
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. 相似文献
8.
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^[6], G. Gundersen^[7] and J.K. Langley^[8], Li Chun-hong^[11]. 相似文献
9.
Using a fixed point theorem,this paper discusses the existence and uniqueness of positive solutions to a system of nonlinear delay fractional differential equations and obtains some new results. 相似文献
10.
Cao Tingbin 《Annals of Differential Equations》2005,21(2):111-122
In this paper, we investigate complex homogeneous and non-homogeneous higher order linear differential equations with meromorphic coefficients. We obtain several results concerning the iterated order of meromorphic solutions, and the iterated convergence exponent of the zeros of meromorphic solutions. 相似文献
11.
This paper establishes a local limit theorem for solutions of backward stochastic differential equations with Mao's non-Lipschitz generator, which is similar to the limit theorem obtained by [3] under the Lipschitz assumption. 相似文献
12.
Ling-yun Gao 《应用数学学报(英文版)》2008,24(2):211-220
Using value distribution theory and techniques in several complex variables,we investigate the problem of existence of m components-admissible solutions of a class of systems of higher-order partial differential equations in several complex variables and estimate the number of admissible components of solutions.Some related results will also be obtained. 相似文献
13.
LongJiang 《应用数学学报(英文版)》2004,20(4):701-706
With the help of a limit property of solutions of backward stochastic differential equations(BSDEs),this paper establishes a converse comparison theorem for deterministic generators g of BSDEs under the assumption g(t, y, 0) ≡0. 相似文献
14.
We analyze the 2×2 nonhomogeneous relativistic Euler equations for perfect fluids in special relativity. We impose appropriate conditions on the lower order source terms and establish the existence of global entropy solutions of the Cauchy problem under these conditions. 相似文献
15.
Bao Quart YUAN 《数学学报(英文版)》2007,23(3):439-448
In this paper we consider the Cauchy problems of Burgers' equations and the Deybe system. Their existence and uniqueness of the time-global solutions for small initial data in some pseudomeasure spaces are obtained. The asymptotic stability of small solutions is proved. As an immediate result the existence and uniqueness of the self-similar solutions are also obtained provided the initial data satisfy the self-similar structures. 相似文献
16.
Using the theory of existence of periodic solutions of Hamiltonian systems, it is shown that many periodic solutions of differential
delay equations can be yielded from many families of periodic solutions of the coupled generalized Hamiltonian systems. Some
sufficient conditions on the existence of periodic solutions of differential delay equations are obtained. As a corollary
of our results, the conjecture of Kaplan-Yorke on the search for periodic solutions for certain special classes of scalar
differential delay equations is shown to be true when
.
Project supported by the National Natural Science Foundation of China (Grant No. 19731003) and Science Foundation of Yunnan
Province. 相似文献
17.
The historical superprocesses are considered on bounded regular domains with a complete branching form, as a probabilistic
argument, the limit property of superprocesses is studied when the domains enlarge to the whole space. As an important application
of superprocess, the representation of solutions of involved differential equations is used in term of historical superprocesses.
The differential equations including the existence of nonnegative solution, the closeness of solutions and probabilistic representations
to the maximal and minimal solutions are discussed, which helps develop the well-known results on nonlinear differential equations.
Project supported by the National Natural Science Foundation of China (Grant No. 19631060) and the Postdoctoral Foundation
of China. 相似文献
18.
CaiShiWANG ZhiYuanHUANG 《数学学报(英文版)》2004,20(6):999-1008
A family of closed snbalgebras, indexed by R(the set of real numbers), of the Wick algebra is constructed. Fundamental properties of tile family are shown including the increasing property and the right-continuity. The notion of adaptedness to the family is defined for quantum stochastic processes in terms of generalized operators. The existence and uniqueness of solutions adapted to the family is established for quantum stochastic differential equations in terms of generalized operators. 相似文献
19.
EXISTENCE OF SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES 总被引:1,自引:0,他引:1
WEIZHONGLI 《高校应用数学学报(英文版)》1998,13(2):141-149
In this paper, the fixed point theorem is applied to investigate the existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banaeh spaces. 相似文献
20.
Li-wei Cui 《应用数学学报(英文版)》2009,25(1):1-10
This paper is concerned with the orbital stability/instability of solitary waves for coupled BBM equations which have Hamiltonian form. The explicit solitary wave solutions will be worked out first. Then by detailed spectral analysis and decaying estimates of solutions for the initial value problem, we obtain the orbital stability/instability of solitary waves. 相似文献