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
Keyword(s):  
Differential Equations ◽  
Limit Point ◽  
Point Type

The HELP inequality for lim-p Hamiltonian systems

2000 ◽  
Vol 130 (4) ◽  
pp. 699-720 ◽  
Author(s):  
B. M. Brown ◽  
M. Marletta
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Hamiltonian Systems ◽  
Wide Class ◽  
Limit Point ◽  
Type Singularity ◽  
Linear Hamiltonian Systems ◽  
Infinite Intervals ◽  
Point Type

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 ).

scholarly journals Limit Circle/Limit Point Criteria for Second-Order Superlinear Differential Equations with a Damping Term

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Lihong Xing ◽  
Wei Song ◽  
Zhengqiang Zhang ◽  
Qiyi Xu
Keyword(s):  
Differential Equations ◽  
Limit Point ◽  
Second Order ◽  
Damping Term ◽  
Limit Circle ◽  
New Criteria ◽  
Point Type ◽  
Circle Limit

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.

Limit-point type results for nonlinear fourth-order differential equations

1997 ◽  
Vol 28 (5) ◽  
pp. 779-792 ◽  
Author(s):  
M. Bartušek ◽  
Z. Došlá ◽  
John R. Graef
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Limit Point ◽  
Point Type

scholarly journals Limit Circle/Limit Point Criteria for Second-Order Sublinear Differential Equations with Damping Term

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Jing Shao ◽  
Wei Song
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Limit Point ◽  
Second Order ◽  
Damping Term ◽  
Limit Circle ◽  
New Criteria ◽  
Point Type ◽  
Circle Limit

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.

On L2and limit-point type solutions of fourth order differential equations

1996 ◽  
Vol 60 (1-2) ◽  
pp. 175-187 ◽  
Author(s):  
M. Bartušek ◽  
Z. Došlá ◽  
R. Graef
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Limit Point ◽  
Point Type

Limit Point and Limit Circle Criteria for a Class of Singular Symmetric Differential Operators

1976 ◽  
Vol 28 (5) ◽  
pp. 905-914 ◽  
Author(s):  
Robert L. Anderson
Keyword(s):  
Limit Point ◽  
Differential Operators ◽  
Sufficient Conditions ◽  
Limit Circle ◽  
Image Position ◽  
Point Type ◽  
Symmetric Differential Operators

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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