scholarly journals Existence of Positive Solutions of Neutral Differential Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
B. Dorociaková ◽  
M. Kubjatková ◽  
R. Olach
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Higher Order ◽  
Neutral Differential Equations ◽  
Existence Of Positive Solutions ◽  
Positive Functions ◽  
Bounded Below

The paper contains some suffcient conditions for the existence of positive solutions which are bounded below and above by positive functions for the nonlinear neutral differential equations of higher order. These equations can also support the existence of positive solutions approaching zero at infinity.

scholarly journals Existence of Nonoscillatory Solutions of First-Order Neutral Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Božena Dorociaková ◽  
Anna Najmanová ◽  
Rudolf Olach
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Sufficient Conditions ◽  
Nonoscillatory Solutions ◽  
Neutral Differential Equations ◽  
First Order ◽  
Existence Of Positive Solutions ◽  
Positive Functions ◽  
Bounded Below

This paper contains some sufficient conditions for the existence of positive solutions which are bounded below and above by positive functions for the first-order nonlinear neutral differential equations. These equations can also support the existence of positive solutions approaching zero at infinity

scholarly journals Existence of positive solutions to BVPs of higher order delay differential equations

2009 ◽  
Vol 42 (1) ◽  
Author(s):  
Jianhua Shen ◽  
Jing Dong
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Positive Solutions ◽  
Delay Differential Equations ◽  
Nonlinear Eigenvalue Problem ◽  
Higher Order ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Existence Of Positive Solutions ◽  
Semipositone Problem ◽  
Delay Differential

AbstractThe paper is concerned with the existence of positive solutions for the nonlinear eigenvalue problem with singularity and the superlinear semipositone problem of higher order delay differential equations. The main results are obtained by using Guo-Krasnoselskii’s fixed point theorem in cones. These results extend some of the existing literature.

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