Existence of solutions to impulsive fractional Sobolev-type integro-differential equations in Banach spaces with operator pairs and state dependent delay

2021 ◽  
Vol 9 (1) ◽  
pp. 31-56
Author(s):  
D. N. Chalishajar ◽  
D. Senthil Raja ◽  
P. Sundararajan ◽  
K. Karthikeyan
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Existence Of Solutions ◽  
Sobolev Type ◽  
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.

scholarly journals Global Existence for Functional Differential Equations with State-Dependent Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mouffak Benchohra ◽  
Imene Medjadj ◽  
Juan J. Nieto ◽  
P. Prakash
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Global Existence ◽  
Differential Equations ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential

Our aim in this work is to study the existence of solutions of a functional differential equation with state-dependent delay. We use Schauder's fixed point theorem to show the existence of solutions.

Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay

SeMA Journal ◽  
2019 ◽  
Vol 77 (2) ◽  
pp. 107-118
Author(s):  
Moussa El-Khalil Kpoumiè ◽  
Abdel Hamid Gamal Nsangou ◽  
Patrice Ndambomve ◽  
Issa Zabsonre ◽  
Salifou Mboutngam
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Partial Functional Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential

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

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 GLOBAL EXISTENCE RESULTS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY

2014 ◽  
Vol 19 (4) ◽  
pp. 524-536 ◽  
Author(s):  
Mouffak Benchohra ◽  
Johnny Henderson ◽  
Imene Medjadj
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Global Existence ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Existence Results ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Functional Differential Inclusions

Our aim in this work is to study the existence of solutions of a functional differential inclusion with state-dependent delay. We use the Bohnenblust–Karlin fixed point theorem for the existence of solutions.

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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