scholarly journals Nonlinear Limit-Point Type Solutions ofnth Order Differential Equations

1997 ◽  
Vol 209 (1) ◽  
pp. 122-139 ◽  
Author(s):  
M Bartušek ◽  
Z Došlá ◽  
John R Graef
Author(s):  
B. M. Brown ◽  
M. Marletta

In a recent paper, Brown, Evans and Marletta extended the HardyEverittLittlewoodPolya inequality from 2nth-order formally self-adjoint ordinary differential equations to a wide class of linear Hamiltonian systems in 2n variables. The paper considered only problems on semi-infinite intervals [a, ∞) with a limit-point type singularity at infinity. In this paper we extend the theory to cover all types of endpoint ( lim-p for n ≤ p ≤ 2n ).


2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Lihong Xing ◽  
Wei Song ◽  
Zhengqiang Zhang ◽  
Qiyi Xu

The purpose of the present paper is to establish some new criteria for the classifications of superlinear differential equations as being of the nonlinear limit circle type or of the nonlinear limit point type. The criteria presented here generalize some known results in literature.


1997 ◽  
Vol 28 (5) ◽  
pp. 779-792 ◽  
Author(s):  
M. Bartušek ◽  
Z. Došlá ◽  
John R. Graef

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Jing Shao ◽  
Wei Song

The purpose of the present paper is to establish some new criteria for the classification of the sublinear differential equation as of the nonlinear limit circle type or of the nonlinear limit point type. The criteria presented here generalize some known results in the literature.


1996 ◽  
Vol 60 (1-2) ◽  
pp. 175-187 ◽  
Author(s):  
M. Bartušek ◽  
Z. Došlá ◽  
R. Graef

1976 ◽  
Vol 28 (5) ◽  
pp. 905-914 ◽  
Author(s):  
Robert L. Anderson

For certain classes of singular symmetric differential operators L of order 2n, this paper considers the problem of determining sufficient conditions for L to be of limit point type or of limit circle type. The operator discussed here is defined by


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