Optimization of Boundary Value Problems for Certain Higher-Order Differential Inclusions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-017-9392-5
Abstract: The present paper studies a new class of problems of optimal control theory with special differential inclusions described by higher-order linear differential operators (HLDOs). There arises a rather complicated problem with simultaneous determination of the… read more here.
Keywords: order; differential inclusions; boundary value; higher order ... See more keywords
Infimal Convolution and Duality in Problems with Third-Order Discrete and Differential Inclusions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-019-01630-8
Abstract: This paper is concerned with the Mayer problem for third-order evolution differential inclusions; to this end, first we use auxiliary problems with third-order discrete and discrete-approximate inclusions. In the form of Euler–Lagrange-type inclusions and transversality… read more here.
Keywords: duality; order; differential inclusions; third order ... See more keywords
Structure of the Solution Set to Fractional Differential Inclusions with Impulses at Variable Times on Compact Interval
Sign Up to like & getrecommendations! Published in 2021 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-021-00500-x
Abstract: A topological structure of the solution set to a class of fractional differential inclusions with (or impulses at variable times) is investigated. It is shown that the solution set is an $$R_{\delta }$$ -set under… read more here.
Keywords: structure solution; fractional differential; differential inclusions; solution set ... See more keywords
On General Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions
Sign Up to like & getrecommendations! Published in 2020 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-016-0319-5
Abstract: This paper investigates the existence of solutions for fractional differential inclusions involving Caputo fractional derivative of any order together with nonlocal integral boundary conditions. Our study includes the cases when the multivalued map involved in… read more here.
Keywords: fractional differential; general fractional; differential inclusions; integral boundary ... See more keywords
Differential inclusions in Wasserstein spaces: The Cauchy-Lipschitz framework
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.08.031
Abstract: Abstract In this article, we propose a general framework for the study of differential inclusions in the Wasserstein space of probability measures. Based on earlier geometric insights on the structure of continuity equations, we define… read more here.
Keywords: cauchy lipschitz; wasserstein spaces; spaces cauchy; differential inclusions ... See more keywords
Differential inclusions with state-dependent impulses on the half-line: New Fréchet space of functions and structure of solution sets
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.09.046
Abstract: Abstract An R δ -structure of solution sets to some classes of impulsive differential inclusions with variable impulse times on the half-line is shown. Sufficient conditions on barriers are discussed in detail. They imply two… read more here.
Keywords: half line; differential inclusions; structure solution; solution sets ... See more keywords
Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.059
Abstract: We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation depending on… read more here.
Keywords: maximal monotone; differential inclusions; sets lyapunov; lyapunov pairs ... See more keywords
On a set-valued Young integral with applications to differential inclusions
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2022.126104
Abstract: We present a new Aumann-like integral for a Hölder multifunction with respect to a Hölder signal, based on the Young integral of a particular set of Hölder selections. This restricted Aumann integral has continuity properties… read more here.
Keywords: applications differential; differential inclusions; valued young; young integral ... See more keywords
Differential inclusions with mean derivatives having extreme right-hand sides and optimal control
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DOI: 10.1080/00036811.2019.1672870
Abstract: First we prove the existence of solutions of some special stochastic differential inclusion with mean derivatives having lower semi-continuous right-hand sides that may not be convex. Then we show that among those solutions there is… read more here.
Keywords: mean derivatives; control; differential inclusions; hand sides ... See more keywords
Second-order viability problems for differential inclusions with endpoint constraint and duality
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DOI: 10.1080/00036811.2020.1773444
Abstract: The paper deals with the optimal control of second-order viability problems for differential inclusions with endpoint constraint and duality. Based on the concept of infimal convolution and new app... read more here.
Keywords: order viability; second order; inclusions endpoint; differential inclusions ... See more keywords
Optimal control of first-order partial differential inclusions in bounded region
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DOI: 10.1080/00207179.2021.1886328
Abstract: The paper is devoted to the Lagrange problem in the bounded region for first-order partial differential inclusions (PDIs). For this, using discretisation method and locally adjoint mappings (LAMs),... read more here.
Keywords: partial differential; first order; differential inclusions; order partial ... See more keywords