Results 11 to 20 of about 585 (200)
Maximum principle for a stochastic delayed system involving terminal state constraints [PDF]
Journal of Inequalities and Applications, 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.
Jiaqiang Wen, Yufeng Shi
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On Ekeland's variational principle [PDF]
Journal of Fixed Point Theory and Applications, 2010 For proper lower semi-continuous functionals bounded below which do not increase upon polarization, an improved version of Ekeland's variational principle can be formulated in Banach spaces, which provides almost symmetric points.
Marco Squassina
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Ekeland's Variational Principle for Interval-valued Functions [PDF]
Computational and Applied Mathematics, 2021 In this paper, we attempt to propose Ekeland's variational principle for interval-valued functions (IVFs). To develop the variational principle, we study the concept of sequence of intervals. In the sequel, the idea of gH-semicontinuity for IVFs is explored.
Gourav Kumar, Debdas Ghosh
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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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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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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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Multiple Solutions for a Singular Quasilinear Elliptic System [PDF]
The Scientific World Journal, 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
Lin Chen, Caisheng Chen, Zonghu Xiu
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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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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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