scholarly journals Existence of solutions of functional differential inclusions

1992 ◽  
Vol 5 (4) ◽  
pp. 315-323
Author(s):  
A. Anguraj ◽  
K. Balachandran
Keyword(s):  
Fixed Point ◽  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Integral Inclusion ◽  
Functional Differential Inclusion ◽  
Variation Of Parameters ◽  
Set Valued Mapping ◽  
Functional Differential ◽  
Variation Of Parameters Formula ◽  
Functional Differential Inclusions

We prove the existence of solutions of a functional differential inclusion. By using the variation of parameters formula we convert the functional differential inclusion into an integral inclusion and prove the existence of a fixed point of the set-valued mapping with the help of the Kakutani-Bohnenblust-Karlin fixed point theorem.

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 On Neutral Functional Differential Inclusions involving Hadamard Fractional Derivatives

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1084 ◽  
Author(s):  
Bashir Ahmad ◽  
Ahmed Alsaedi ◽  
Sotiris K. Ntouyas ◽  
Hamed H. Al-Sulami
Keyword(s):  
Fixed Point ◽  
Differential Inclusions ◽  
Fractional Derivatives ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Multivalued Maps ◽  
Functional Differential ◽  
Functional Differential Inclusions

We prove the existence of solutions for neutral functional differential inclusions involving Hadamard fractional derivatives by applying several fixed point theorems for multivalued maps. We also construct examples for illustrating the obtained results.

scholarly journals A method of upper and lower solutions for functional differential inclusions

2002 ◽  
Vol 15 (3) ◽  
pp. 269-276
Author(s):  
Mouffak Benchohra ◽  
Sotiris K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Upper And Lower Solutions ◽  
First Order ◽  
Functional Differential ◽  
Functional Differential Inclusions ◽  
Condensing Maps

In this paper, a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for first order functional differential inclusions.

scholarly journals Existence results for second-order impulsive functional differential inclusions

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Yong-Kui Chang ◽  
Li-Mei Qi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Second Order ◽  
Compact Interval ◽  
Functional Differential ◽  
Functional Differential Inclusions

The existence of solutions on a compact interval to second-order impulsive functional differential inclusions is investigated. Several new results are obtained by using Sadovskii's fixed point theorem.

scholarly journals On second-order multivalued impulsive functional differential inclusions in Banach spaces

2001 ◽  
Vol 6 (6) ◽  
pp. 369-380 ◽  
Author(s):  
M. Benchohra ◽  
J. Henderson ◽  
S. K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Second Order ◽  
Initial Value ◽  
Functional Differential ◽  
Functional Differential Inclusions ◽  
Condensing Maps

A fixed point theorem for condensing maps due to Martelli is used to investigate the existence of solutions to second-order impulsive initial value problem for functional differential inclusions in Banach spaces.

scholarly journals Viability result for semilinear functional differential inclusions in Banach spaces

2021 ◽  
Vol 13 (2) ◽  
pp. 395-404
Author(s):  
M. Aitalioubrahim
Keyword(s):  
Banach Spaces ◽  
Differential Inclusion ◽  
Mild Solution ◽  
Differential Inclusions ◽  
Existence Result ◽  
Linear Operators ◽  
Functional Differential Inclusion ◽  
Functional Differential ◽  
Functional Differential Inclusions

We show the existence result of a mild solution for a semilinear functional differential inclusion, with viability, governed by a family of linear operators. We consider the case when the constraint is moving.

scholarly journals Multivalued impulsive neutral functional differential inclusions in Banach spaces

2002 ◽  
Vol 33 (1) ◽  
pp. 67-78
Author(s):  
M. Benchohra ◽  
J. Henderson ◽  
S. K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Semigroup Theory ◽  
Multivalued Maps ◽  
Functional Differential ◽  
Functional Differential Inclusions

In paper the existence of solutions for first and second order impulsive neutral functional differential inclusions in Banach spaces is investigated. The results are obtained by using a fixed point theorem for condensing multivalued maps due to Martelli and the semigroup theory.

scholarly journals Existence results for second order functional differential and integrodifferential inclusions in Banach spaces

2001 ◽  
Vol 32 (4) ◽  
pp. 315-325
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Initial Value Problems ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Second Order ◽  
Initial Value ◽  
Functional Differential ◽  
Condensing Maps

In this paper we investigate the existence of solutions on a compact interval to second order initial value problems for functional differential and integrodifferential inclusions in Banach spaces. We shall make use of a fixed point theorem for condensing maps due to Martelli.

scholarly journals Multivalued semilinear neutral functional differential equations with nonconvex-valued right-hand side

2004 ◽  
Vol 2004 (6) ◽  
pp. 525-541
Author(s):  
M. Benchohra ◽  
E. Gatsori ◽  
S. K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Mild Solutions ◽  
Lower Semicontinuous ◽  
Functional Differential Equations ◽  
Neutral Functional Differential Equations ◽  
Multivalued Operators ◽  
Functional Differential ◽  
Functional Differential Inclusions

We investigate the existence of mild solutions on acompact interval to some classes of semilinear neutral functional differential inclusions. We will rely on a fixed-point theorem for contraction multivalued maps due to Covitz and Nadler and on Schaefer's fixed-point theorem combined with lower semicontinuous multivalued operators with decomposable values.

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