nonlinear functional differential equation
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2020 ◽  
Vol 27 (1) ◽  
pp. 53-66
Author(s):  
Phridon Dvalishvili ◽  
Abdeljalil Nachaoui ◽  
Tamaz Tadumadze

AbstractFor the nonlinear functional differential equation with several constant delays, the variation formulas for its solution are proved, in which the effects of perturbations of delays and the initial moment are detected.


2012 ◽  
Vol 616-618 ◽  
pp. 2137-2141
Author(s):  
Zhi Min Luo ◽  
Bei Fei Chen

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.


2007 ◽  
Vol 4 (4) ◽  
pp. 666-669
Author(s):  
Baghdad Science Journal

In this paper Heun method has been used to find numerical solution for first order nonlinear functional differential equation. Moreover, this method has been modified in order to treat system of nonlinear functional differential equations .two numerical examples are given for conciliated the results of this method.


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