Existence of Solutions for a Differential Inclusion by Multivalued Probabilistic Order Contraction

2014 ◽  
Vol 12 (3) ◽  
pp. 1095-1106
Author(s):  
Z. Sadeghi ◽  
S. M. Vaezpour ◽  
R. Saadati
Keyword(s):  
Differential Inclusion ◽  
Existence Of Solutions

Existence of solutions for a second order boundary value problem with the Clarke subdifferential

Filomat ◽  
2017 ◽  
Vol 31 (9) ◽  
pp. 2763-2771 ◽  
Author(s):  
Dalila Azzam-Laouir ◽  
Samira Melit
Keyword(s):  
Boundary Value Problem ◽  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Clarke Subdifferential ◽  
Lipschitzian Function ◽  
The Clarke Subdifferential

In this paper, we prove a theorem on the existence of solutions for a second order differential inclusion governed by the Clarke subdifferential of a Lipschitzian function and by a mixed semicontinuous perturbation.

scholarly journals Positive Solvability for Conjugate Fractional Differential Inclusion of (k,n-k) Type without Continuity and Compactness

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 170
Author(s):  
Ahmed Salem ◽  
Aeshah Al-Dosari
Keyword(s):  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Inclusion Type ◽  
Fractional Differential Inclusion ◽  
Fractional Differential

The monotonicity of multi-valued operators serves as a guideline to prove the existence of the results in this article. This theory focuses on the existence of solutions without continuity and compactness conditions. We study these results for the (k,n−k) conjugate fractional differential inclusion type with λ>0,1≤k≤n−1.

scholarly journals ON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION

Fractals ◽  
2020 ◽  
Vol 28 (08) ◽  
pp. 2040002 ◽  
Author(s):  
SAMIHA BELMOR ◽  
F. JARAD ◽  
T. ABDELJAWAD ◽  
MANAR A. ALQUDAH
Keyword(s):  
Differential Inclusion ◽  
Fractional Order ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Research Work ◽  
Main Tool ◽  
Nonlinear Boundary Value Problems ◽  
Inclusion Problems ◽  
Contractive Maps ◽  
Fractional Differential

In this research work, we investigate the existence of solutions for a class of nonlinear boundary value problems for fractional-order differential inclusion with respect to another function. Endpoint theorem for [Formula: see text]-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.

scholarly journals Some remarks on a fractional integro-differential inclusion with boundary conditions

2015 ◽  
Vol 23 (1) ◽  
pp. 73-82
Author(s):  
Aurelian Cernea
Keyword(s):  
Boundary Conditions ◽  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Integral Boundary Conditions ◽  
Existence Results ◽  
Integral Boundary ◽  
Filippov Type

AbstractWe study the existence of solutions for fractional integrodifferential inclusions of order q ∈ (1, 2] swith families of mixed, closed, strip and integral boundary conditions. We establish Filippov type existence results in the case of nonconvex set-valued maps.

scholarly journals ON A DIRICHLET PROBLEM WITH p-LAPLACIAN AND SET-VALUED NONLINEARITY

2011 ◽  
Vol 86 (1) ◽  
pp. 83-89 ◽  
Author(s):  
S. A. MARANO
Keyword(s):  
Fixed Point ◽  
Dirichlet Problem ◽  
Banach Spaces ◽  
Differential Inclusion ◽  
Existence Of Solutions ◽  
Type Theorem ◽  
Special Cases ◽  
Homogeneous Dirichlet Problem ◽  
Point Type

AbstractThe existence of solutions to a homogeneous Dirichlet problem for a p-Laplacian differential inclusion is studied via a fixed-point type theorem concerning operator inclusions in Banach spaces. Some meaningful special cases are then worked out.

Near viability for fully nonlinear differential inclusions

2014 ◽  
Vol 12 (10) ◽  
Author(s):  
Irina Căpraru ◽  
Alina Lazu
Keyword(s):  
Differential Inclusion ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Null Controllability ◽  
Dissipative Operator ◽  
Nonlinear Case ◽  
Tangency Condition ◽  
Gronwall’S Lemma ◽  
Nonlinear Differential Inclusions ◽  
Near Viability

AbstractWe consider the nonlinear differential inclusion x′(t) ∈ Ax(t) + F(x(t)), where A is an m-dissipative operator on a separable Banach space X and F is a multi-function. We establish a viability result under Lipschitz hypothesis on F, that consists in proving the existence of solutions of the differential inclusion above, starting from a given set, which remain arbitrarily close to that set, if a tangency condition holds. To this end, we establish a kind of set-valued Gronwall’s lemma and a compactness theorem, which are extensions to the nonlinear case of similar results for semilinear differential inclusions. As an application, we give an approximate null controllability result.

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