共查询到20条相似文献,搜索用时 15 毫秒
1.
D. Benko D.C. Biles M.P. Robinson J.S. Spraker 《Mathematical and Computer Modelling》2009,49(5-6):1109-1114
We consider numerical approximation of solutions of singular second order differential equations. In particular, we study the backward (or implicit) Euler method. We prove results concerning consistency, global error and stability. We show that the global error is linear with respect to the step size. Numerical results are also given, which demonstrate the linear convergence and we compare the numerical results with known approximations. 相似文献
2.
3.
Jifeng Chu Ning Fan Pedro J. Torres 《Journal of Mathematical Analysis and Applications》2012,388(2):665-675
We study the existence of positive periodic solutions for second order singular damped differential equations by combining the analysis of the sign of Green?s functions for the linear damped equation, together with a nonlinear alternative principle of Leray–Schauder. Recent results in the literature are generalized and significantly improved. 相似文献
4.
Oscillation theorems for linear differential equations of second order 总被引:30,自引:0,他引:30
Ch. G. Philos 《Archiv der Mathematik》1989,53(5):482-492
5.
6.
We study the twist periodic solutions of second order singular differential equations. Such twist periodic solutions are stable in the sense of Lyapunov and present much interesting dynamical features around them. The proof is based on the third-order approximation method. The estimates of periodic solutions of Ermakov-Pinney equations and the estimates on rotation numbers of Hill equations play an important role in the analysis. 相似文献
7.
8.
9.
10.
11.
12.
利用Schauder不动点理论和上下解方法,讨论了一类半正奇异二阶微分方程,在Neumann边值条件下受脉冲影响的正解存在性. 相似文献
13.
Yong-Hoon Lee 《Journal of Mathematical Analysis and Applications》2007,331(1):159-176
This paper studies the existence of extremal solutions for a class of singular boundary value problems of second order impulsive differential equations. By using the method of upper and lower solutions and the monotone iterative technique, criteria of the existence of extremal solutions are established. 相似文献
14.
We consider the differential equation , where and are entire functions. Provided and as outside a set of finite logarithmic measure, we prove that all nonconstant solutions of this equation are of infinite order.
15.
Jun Wang 《Journal of Mathematical Analysis and Applications》2008,342(1):39-51
This paper is devoted to studying the growth of solutions of equations of type f″+h(z)eazf′+Q(z)f=H(z) where h(z), Q(z) and H(z) are entire functions of order at most one. We prove four theorems of such type, improving previous results due to Gundersen and Chen. 相似文献
16.
17.
Hirokazu Oka 《Proceedings of the American Mathematical Society》1996,124(10):3143-3150
This paper is concerned with a class of complete second order linear differential equations in a Banach space. We show the existence and uniqueness of classical solutions of
18.
The oscillation of solutions of f″+Af=0 is discussed by focusing on four separate situations. In the complex case A is assumed to be either analytic in the unit disc D or entire, while in the real case A is continuous either on (−1,1) or on (0,∞). In all situations A is expected to grow beyond bounds that ensure finite oscillation for all (non-trivial) solutions, and the separation between distinct zeros of solutions is considered. 相似文献
19.
W. N. Everitt 《Mathematische Annalen》1963,149(4):320-340
20.