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Nonlinear Differential Inclusion
This chapter updates the controlled system of ILC from differential equation to differential inclusion. Sufficient conditions for convergence of...
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Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations
AbstractA differential inclusion with a time-dependent maximal monotone operator and a perturbation is studied in a separable Hilbert space. The...
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Analysis of a hybrid integro-differential inclusion
Our main objectives in this paper are to investigate the existence of the solutions for an integro-differential inclusion of second order with hybrid...
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Differential Inclusions
Differential inclusions are generalizations of first order, vector differential equations, in which set inclusion replaces equality and the right...
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Control problem governed by an iterative differential inclusion
In this paper, we study the existence and uniqueness of solution for a perturbed first-order iterative differential inclusion governed by a maximal...
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Optimal Control Problem for a Differential Inclusion with Rapidly Oscillating Coefficients on the Semiaxis
We study the optimal control problem for a system of differential inclusions with rapidly oscillating coefficients on the semiaxis. For this purpose,...
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Some existence results for a differential equation and an inclusion of fractional order via (convex) F-contraction map**
The existence of solutions for a class of μ -Caputo fractional differential equations and an inclusion problem equipped with nonlocal μ -integral...
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The Generalized Euler-Lagrange and Hamiltonian Inclusion Conditions
The subject matter of this chapter is necessary conditions of optimality for differential inclusion problems, by which we mean dynamic optimization...
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Accurate Approximating Solution of the Differential Inclusion Based on the Ordinary Differential Equation
Numerous problems in applied mathematics can be transformed and described by the differential inclusion ẋ 2 f ( t, x ) − N Q x involving N Q x, which is a...
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Method for Solving a Differential Inclusion with a Subdifferentiable Support Function of the Right-Hand Side
The paper studies differential inclusions such that the support function of the set on the right-hand side considered at each time moment is...
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Optimality of Non-instantaneous Impulsive Fractional Stochastic Differential Inclusion with fBm
This manuscript is concerned with the solvability and optimal control of fractional stochastic systems driven by Wiener process and fractional...
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The Euler-Lagrange and Hamiltonian Inclusion Conditions in the Presence of State Constraints
This chapter concerns necessary conditions of optimality for dynamic optimization problems with pathwise state constraints, when the dynamic...
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Strong Solutions and Mild Solutions for Sturm-Liouville Differential Inclusions
Existence results for a Cauchy problem driven by a semilinear differential Sturm-Liouville inclusion are achived by proving, in a preliminary way, an...
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Investigation of fractional order inclusion problem with Mittag-Leffler type derivative
Inclusions problems due to differential equations arise in many situations like variational inequalities, projective dynamical systems, and many...
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Duality in the problems of optimal control described by Darboux-type differential inclusions
This paper is devoted to the optimization of the Mayer problem with hyperbolic differential inclusions of the Darboux type and duality. We use the...
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A Criterion for the Asymptotic Stability of a Periodic Selector-Linear Differential Inclusion
AbstractWe consider a periodic selector-linear differential inclusion. It is proved that for this inclusion to be uniformly asymptotically stable,...
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Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators
The main purpose of the present paper is the characterization, in the finite dimensional setting, of weak and strong invariance of closed sets with...
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On the Filippov-Ważewski relaxation theorem for a certain class of fractional differential inclusions
The purpose of this text is to propose an attempt of an extension of the Filippov-Ważewski Relaxation Theorem for a certain class of fractional...