scholarly journals Oscillation and nonoscillation criteria for even order nonlinear functional differential equations

2012 ◽  
pp. 339-370
Author(s):  
Akihito Shibuya
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Nonlinear Functional ◽  
Even Order ◽  
Functional Differential ◽  
Oscillation And Nonoscillation Criteria ◽  
Oscillation And Nonoscillation

Oscillatory Behavior for Even-Order Nonlinear Functional Differential Equations

2013 ◽  
Vol 303-306 ◽  
pp. 2822-2825
Author(s):  
Quan Xin Zhang ◽  
Li Gao ◽  
Chun Xia Li
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Oscillatory Behavior ◽  
Nonlinear Functional ◽  
Even Order ◽  
Functional Differential

In this paper, some sufficient conditions are obtained by discussing the oscillatory behavior of solutions for a class of even-order nonlinear functional differential equations, and our results generalize and improve some known results.

Asymptotic Behavior for Nonoscillatory Solutions of Second Order Nonlinear Functional Differential Equation

2012 ◽  
Vol 616-618 ◽  
pp. 2137-2141
Author(s):  
Zhi Min Luo ◽  
Bei Fei Chen
Keyword(s):  
Differential Equation ◽  
Asymptotic Behavior ◽  
Differential Equations ◽  
Functional Differential Equation ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Nonoscillatory Solutions ◽  
Nonlinear Functional ◽  
Nonlinear Functional Differential Equation ◽  
Functional Differential

This paper studied the asymptotic behavior of a class of nonlinear functional differential equations by using the Bellman-Bihari inequality. We obtain results which extend and complement those in references. The results indicate that all non-oscillatory continuable solutions of equation are asymptotic to at+b as under some sufficient conditions, where a,b are real constants. An example is provided to illustrate the application of the results.

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