Results 71 to 80 of about 514 (163)
Maximum principle for delayed stochastic mean-field control problem with state constraint
Advances in Difference Equations, 2019 In this paper, we consider the optimal control problem for the mean-field stochastic differential equations with delay and state constraint. By virtue of the classical Ekeland’s variational principle, the duality method and a new type of mean-field ...
Li Chen, Jiandong Wang
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Recent developments in vector optimization [PDF]
, 2011 Lee, Hon Leung."August 2011."Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.Includes bibliographical references (leaves 98-101) and index.Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.6Chapter 2 --- Preliminaries --- p ...
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A variational principle and its connection with fixed point theory
, 1996 In this thesis, the following topics will be discussed; In chapter 2, a variational principle due to I. Ekeland (EVP) will be considered which deals with minimization of functions on a complete metric space; In chapter 3, the notion of completeness of a ...
Ohashi, Ryo
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Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities
Electronic Journal of Differential Equations, 2017 In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms.
Qin Li, Zuodong Yang, Zhaosheng Feng
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Electronic Journal of Differential Equations, 2021 In this article, we consider the multiplicity of solutions for nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
Lan-Xin Huang +2 more
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A generalization of Ekeland's variational principle with applications
Electronic Journal of Differential Equations, 2006 In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition.
Abdel R. El Amrouss, Najib Tsouli
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Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces
Mathematics, 2018 We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.
Eshagh Hashemi, Reza Saadati
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Partial Differential Inclusions Governing Feedback Controls [PDF]
, 1990 The authors derive partial differential inclusions of hyperbolic type, the solutions of which are feedbacks governing the viable (controlled invariant) solutions of a control system. They show that the tracking property, another important control problem,
Aubin, J.-P., Frankowska, H.
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The strong Ekeland variational principle
Journal of Mathematical Analysis and Applications, 2006 The main purpose of the present paper is to establish an extension of Ekeland's variational principle. The author is mainly concerned with quasiconvex proper and lower semicontinuous functions defined on a reflexive Banach space. In the last part of the paper this result is generalized in the framework of compact metric spaces endowed with a \(\tau ...
openaire +1 more source
The Viability Kernel Algorithm for Computing Value Functions of Infinite Horizon Optimal Control Problems [PDF]
, 1995 We characterize in this paper the epigraph of the value function of a discounted infinite horizon optimal control problem as the viability kernel of an auxiliary differential inclusion. Then the viability kernel algorithm applied to this problem provides
Aubin, J.-P., Frankowska, H.
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