Results 81 to 90 of about 512 (163)

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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Variational Principles for Set-Valued Mappings with Applications to Multiobjective Optimization [PDF]

, 2007
This paper primarily concerns the study of general classes of constrained multiobjective optimization problems (including those described via set-valued and vector-valued cost mappings) from the viewpoint of modern variational analysis and generalized ...
Bao, Truong Q, Mordukhovich, Boris S
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Some eigenvalue problems involving the (p(x),q(x))-Laplacian

, 2022
In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of solutions applying two versions of Mountain Pass theorem,
Apaza, Juan Alcon
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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
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Ekeland's variational principle in vecter optimization [PDF]

, 2008
新潟大学博士（理学）新潟大学平成20年3月24日新大院博（理）第292号新大院博（理 ...
49925, 荒谷, 洋輔
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Concerning Kirk’s problem

Fixed Point Theory and Algorithms for Sciences and Engineering
This paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples.
Hamid Mottaghi Golshan
doaj   +1 more source

Nash-type equilibria and periodic solutions to nonvariational systems

Advances in Nonlinear Analysis, 2014
The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
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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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Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

Boundary Value Problems, 2006
The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN).
Mihai Mihăilescu
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Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3

Abstract and Applied Analysis, 2014
We study the following nonhomogeneous Kirchhoff equation: -(a+b∫R3‍|∇u|2dx)Δu+u=k(x)f(u)+h(x),  x∈R3,  u∈H1(R3),  u>0,  x∈R3, where f is asymptotically linear with respect to t at infinity.
Ling Ding, Lin Li, Jin-Ling Zhang
doaj   +1 more source