scholarly journals Solvability of nonlinear functional differential equations of fractional order in reflexive Banach space

2021 ◽  
Vol 22 (2) ◽  
pp. 671-684
Author(s):  
H.H.G. Hashem ◽  
◽  
A.M.A. El-Sayed ◽  
Ravi P. Agarwal ◽  
Bashir Ahmad ◽  
...  
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Fractional Order ◽  
Reflexive Banach Space ◽  
Functional Differential Equations ◽  
Nonlinear Functional ◽  
Functional Differential

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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