Oscillation and nonoscillation theorems for a second order nonlinear functional differential equation

1978 ◽  
pp. 97-106
Author(s):  
B. Mehri
Keyword(s):  
Differential Equation ◽  
Functional Differential Equation ◽  
Second Order ◽  
Nonlinear Functional ◽  
Nonlinear Functional Differential Equation ◽  
Functional Differential ◽  
Oscillation And Nonoscillation

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.

scholarly journals Strong oscillations for second order nonlinear functional differential equations

1990 ◽  
Vol 13 (1) ◽  
pp. 151-158
Author(s):  
Jurang Yan
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Functional Differential Equation ◽  
Functional Differential Equations ◽  
Second Order ◽  
Nonlinear Functional ◽  
Functional Differential ◽  
Oscillation Theorems

In this paper, we establish some strongly oscillation theorems for nonlinear second order functional differential equationx″(t)+p(t)f(x(t),x(g(t)))=0without assuming thatg(t)is retarded or advanced.

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