Existence and uniqueness of anti-periodic solution for a kind of forced Rayleigh equation with state dependent delay and impulses

2010 ◽  
Vol 15 (12) ◽  
pp. 4076-4083 ◽  
Author(s):  
Yongkun Li ◽  
Tianwei Zhang
Keyword(s):  
Periodic Solution ◽  
Existence And Uniqueness ◽  
Rayleigh Equation ◽  
State Dependent ◽  
State Dependent Delay

Well Posedness of a Model of Population Dynamics of Infectious Diseases with "Roguing and Replanting" as Strategy of Control

1997 ◽  
Vol 05 (03) ◽  
pp. 403-431 ◽  
Author(s):  
Azeddine Ramzi
Keyword(s):  
Existence And Uniqueness ◽  
Functional Equations ◽  
Integral Functional ◽  
Well Posedness ◽  
Disease Dynamics ◽  
Coupled Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Control Of Epidemics ◽  
Infectious Disease Dynamics

In this paper, we investigate existence and uniqueness of positive solutions of a model of infectious disease dynamics with a strategy for control of epidemics given in [1]. The model presents nonlinear and coupled equations which are transformed to integral functional equations with state dependent delay and solved using a fixed point theorem.

scholarly journals On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions

2021 ◽  
Vol 2021 ◽  
pp. 1-19
Author(s):  
Bouchra Ben Amma ◽  
Said Melliani ◽  
Lalla Saadia Chadli
Keyword(s):  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Functional Differential Equations ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Intuitionistic Fuzzy ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Fuzzy Solutions

This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. Theorems on the existence and uniqueness of intuitionistic fuzzy solutions for these problems with integral boundary conditions are established under some sufficient assumptions. Some numerical examples of applications of the main result of this work are presented.

scholarly journals An analysis on the stability of a state dependent delay differential equation

2016 ◽  
Vol 14 (1) ◽  
pp. 425-435 ◽  
Author(s):  
Sertaç Erman ◽  
Ali Demir
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Existence And Uniqueness ◽  
Uniqueness Of Solutions ◽  
Delay Term ◽  
State Dependent ◽  
State Dependent Delay ◽  
The Stability ◽  
Delay Differential ◽  
Equation With Delay

AbstractIn this paper, we present an analysis for the stability of a differential equation with state-dependent delay. We establish existence and uniqueness of solutions of differential equation with delay term $\tau (u(t)) = \frac{{a + bu(t)}}{{c + bu(t)}}.$ Moreover, we put the some restrictions for the positivity of delay term τ(u(t)) Based on the boundedness of delay term, we obtain stability criterion in terms of the parameters of the equation.

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