Maximum principle for a stochastic delayed system involving terminal state constraints. [PDF]
J Inequal Appl, 2017 We investigate a stochastic optimal control problem where the controlled system is depicted as a stochastic differential delayed equation; however, at the terminal time, the state is constrained in a convex set.
Wen J, Shi Y.
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Generalized Ekeland’s variational principle with applications [PDF]
Journal of Inequalities and Applications, 2019 By using the concept of Γ-distance, we prove EVP (Ekeland’s variational principle) on quasi-F-metric (q-F-m) spaces. We apply EVP to get the existence of the solution to EP (equilibrium problem) in complete q-F-m spaces with Γ-distances.
Eshagh Hashemi +2 more
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Existence of solution for a Kirchhoff type problem involving the fractional p-Laplace operator [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 This paper is concerned with the existence of solutions to a Kirchhoff type problem involving the fractional $p$-Laplacian operator. We obtain the existence of solutions by Ekeland's variational principle.
Wenjing Chen, Shengbing Deng
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An Optimal Control Problem of Forward-Backward Stochastic Volterra Integral Equations with State Constraints [PDF]
Abstract and Applied Analysis, 2014 This paper is devoted to the stochastic optimal control problems for systems governed by forward-backward stochastic Volterra integral equations (FBSVIEs, for short) with state constraints.
Qingmeng Wei, Xinling Xiao
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Critical point result of Schechter type in a Banach space [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 Using Ekeland's variational principle we give a critical point theorem of Schechter type for extrema on a sublevel set in a Banach space. This result can be applied to localize the solutions of PDEs which contain nonlinear homogeneous operators.
Hannelore Lisei, Orsolya Vas
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Abstract and Applied Analysis, 2012 We study the optimal control problem of a controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal state constraints. Applying the terminal perturbation method and Ekeland’s variation principle, a necessary
Shaolin Ji, Qingmeng Wei, Xiumin Zhang
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Multiple solutions for Kirchhoff type problems involving super-linear and sub-linear terms [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we consider the multiplicity of solutions for a class of Kirchhoff type problems with concave and convex nonlinearities on an unbounded domain.
Xiaofei Cao, Junxiang Xu
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Multiple solutions for a singular quasilinear elliptic system. [PDF]
ScientificWorldJournal, 2013 We consider the multiplicity of nontrivial solutions of the following quasilinear elliptic system , , , , , where , , , , , . The functions , , , , , , and satisfy some suitable conditions. We will prove that the problem has at least two nontrivial
Chen L, Chen C, Xiu Z.
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A generalization of Ekeland's variational principle by using the τ-distance with its applications. [PDF]
J Inequal Appl, 2017 In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated.
Farajzadeh AP +2 more
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A generalized form of Ekeland’s variational principle [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In this paper we prove a generalized version of the Ekeland variational principle, which is a common generalization of Zhong variational principle and Borwein Preiss Variational principle.
Farkas Csaba
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