scholarly journals A Study of Controllability of Impulsive Neutral Evolution Integro-Differential Equations with State-Dependent Delay in Banach Spaces

Mathematics ◽  
2016 ◽  
Vol 4 (4) ◽  
pp. 60 ◽  
Author(s):  
Dimplekumar Chalishajar ◽  
Annamalai Anguraj ◽  
Kandasamy Malar ◽  
Kulandhivel Karthikeyan
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Neutral Evolution ◽  
State Dependent ◽  
State Dependent Delay

scholarly journals A study of controllability of impulsive neutral evolution integro-differential equations with state dependent delay in Banach space

2016 ◽  
Author(s):  
Dimplekumar Chalishajar ◽  
A. Anguraj ◽  
Kulandhivel Karthikeyan ◽  
Malar Ganeshan
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Phase Space ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Banach Spaces ◽  
Neutral Evolution ◽  
Resolvent Operators ◽  
State Dependent ◽  
State Dependent Delay

In this paper, we study the problem of controllability of impulsive neutral evolution integrodifferential equations with state dependent delay in Banach spaces. The main results are completely new and are obtained by using Sadovskii's fixed point theorem, theory of resolvent operators, and an abstract phase space. An example is given to illustrate the theory.

On fractional differential equations with state-dependent delay via Kuratowski measure of noncompactness

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 451-460 ◽  
Author(s):  
Mohammed Belmekki ◽  
Kheira Mekhalfi
Keyword(s):  
Differential Equations ◽  
Measure Of Noncompactness ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Kuratowski Measure Of Noncompactness ◽  
State Dependent ◽  
State Dependent Delay ◽  
Liouville Fractional Derivative ◽  
Fractional Differential ◽  
Functional Differential

This paper is devoted to study the existence of mild solutions for semilinear functional differential equations with state-dependent delay involving the Riemann-Liouville fractional derivative in a Banach space and resolvent operator. The arguments are based upon M?nch?s fixed point theoremand the technique of measure of noncompactness.

NUMERICAL BIFURCATION ANALYSIS OF DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

2001 ◽  
Vol 11 (03) ◽  
pp. 737-753 ◽  
Author(s):  
TATYANA LUZYANINA ◽  
KOEN ENGELBORGHS ◽  
DIRK ROOSE
Keyword(s):  
Differential Equations ◽  
Bifurcation Analysis ◽  
Delay Differential Equations ◽  
Constant Delay ◽  
State Dependent ◽  
State Dependent Delay ◽  
Numerical Bifurcation ◽  
Delay Differential ◽  
Steady State Solutions ◽  
Numerical Bifurcation Analysis

In this paper we apply existing numerical methods for bifurcation analysis of delay differential equations with constant delay to equations with state-dependent delay. In particular, we study the computation, continuation and stability analysis of steady state solutions and periodic solutions. We collect the relevant theory and describe open theoretical problems in the context of bifurcation analysis. We present computational results for two examples and compare with analytical results whenever possible.

scholarly journals Approximate controllability of second order impulsive systems with state-dependent delay in banach spaces

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Soniya Singh ◽  
◽  
Sumit Arora ◽  
Manil T. Mohan ◽  
Jaydev Dabas ◽  
...  
Keyword(s):  
Banach Spaces ◽  
Approximate Controllability ◽  
Second Order ◽  
Impulsive Systems ◽  
State Dependent ◽  
State Dependent Delay
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