Results 71 to 80 of about 585 (200)

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
core   +1 more source

Stochastic singular optimal control problem of switching systems with constraints

Journal of Inequalities and Applications, 2016
This paper is devoted to the optimal control problem of switching system in which constraints on the state variable are given by inclusions. Using Ekeland’s variational principle, second-order necessary condition of optimality for stochastic switching ...
Charkaz Aghayeva
doaj   +1 more source

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 ...

core  

On Inverse Function Theorems for Set-Valued Maps [PDF]

, 1984
We prove several equivalent versions of the inverse function theorem: an inverse function theorem for smooth maps on closed subsets, one for set-valued maps, a generalized implicit function theorem for set-valued maps.
Aubin, J.-P., Frankowska, H.
core  

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.
core  

Multiple positive solutions for nonhomogeneous Schrodinger-Poisson systems with Berestycki-Lions type conditions

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, Xing-Ping Wu, Chun-Lei Tang   +2 more
doaj  

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
doaj  

Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints [PDF]

, 2003
We consider optimal control problems for hyperbolic systems with controls in Neumann boundary conditions with pointwise (hard) constraints on control and state functions. Focusing on hyperbolic dynamics governed by the multidimensional wave equation with
Mordukhovich, Boris S, Raymond, Jean-Pierre   +1 more
core   +1 more source

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
doaj   +1 more source

Gauge Brezis-Browder Principles and Dependent Choice [PDF]

, 2013
The gauge Brezis-Browder Principle in Turinici [Bull. Acad. Pol. Sci. (Math.), 30 (1982), 161-166] is obtainable from the Principle of Dependent Choices (DC) and implies Ekeland's Variational Principle (EVP); hence, it is equivalent with both (DC) and ...
Turinici, Mihai
core