Results 11 to 20 of about 462 (83)
Stability of nonlinear Dirichlet BVPs governed by fractional Laplacian. [PDF]
ScientificWorldJournal, 2014 We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend continuously on parameters is stated. The application of the results to some optimal control problem is presented.
Bors D.
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Multicomponent incompressible fluids—An asymptotic study
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 103, Issue 7, July 2023., 2023 Abstract This paper investigates the asymptotic behavior of the Helmholtz free energy of mixtures at small compressibility. We start from a general representation for the local free energy that is valid in stable subregions of the phase diagram. On the basis of this representation we classify the admissible data to construct a thermodynamically ...
Dieter Bothe +2 more
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The Natural Gas Cash‐Out Problem: A Bilevel Optimal Control Approach
Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015 The aim of this paper is threefold: first, it formulates the natural gas cash‐out problem as a bilevel optimal control problem (BOCP); second, it provides interesting theoretical results about Pontryagin‐type optimality conditions for a general BOCP where the upper level boasts a Mayer‐type cost function and pure state constraints, while the lower ...
Vyacheslav V. Kalashnikov +3 more
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On Games and Equilibria with Coherent Lower Expectations
Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015 Different solution concepts for strategic form games have been introduced in order to weaken the consistency assumption that players’ beliefs, about their opponents strategic choices, are correct in equilibrium. The literature has shown that ambiguous beliefs are an appropriate device to deal with this task.
Giuseppe De Marco +2 more
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Lower Convergence of Minimal Sets in Star‐Shaped Vector Optimization Problems
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 Let {An} be a sequence of nonempty star‐shaped sets. By using generalized domination property, we study the lower convergence of minimal sets Min An. The distinguishing feature of our results lies in disuse of convexity assumptions (only using star‐shapedness).
Rong Hu, Xian-Jun Long
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Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We mainly present several equivalent characterizations of the strong metric subregularity of the Mordukhovich subdifferential for an extended‐real‐valued lower semicontinuous, prox‐regular, and subdifferentially continuous function acting on an Asplund space.
J. J. Wang, W. Song, Chong Li
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Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 We provide sufficient conditions for the definition and the existence of strongly consistent indirect estimators when the binding function is a compact valued correspondence. We use conditions that concern the asymptotic behavior of the epigraphs of the criteria involved, a relevant notion of continuity for the binding correspondence as well as an ...
Stelios Arvanitis, Mike Tsionas
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α‐Well‐Posedness for Quasivariational Inequality Problems
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We introduce and study the concepts of α‐well‐posedness and L‐α‐well‐posedness for quasivariational inequality problems having a unique solution and the concepts of α‐well‐posedness in the generalized sense and L‐α‐well‐posedness in the generalized sense for quasivariational inequality problems having more than one solution.
Jian Wen Peng, Jing Tang, Simeon Reich
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Kuratowski convergence on compacta and Hausdorff metric convergence on compacta [PDF]
, 1999 summary:This paper completes and improves results of [10]. Let $(X,d_{_X})$, $(Y,d_{_Y})$ be two metric spaces and $G$ be the space of all $Y$-valued continuous functions whose domain is a closed subset of $X$.
Ceppitelli, R., Holá, Ľ., Brandi, P.
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Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 The purpose of this paper is to investigate the problems of the well‐posedness for a system of mixed quasivariational‐like inequalities in Banach spaces. First, we generalize the concept of α‐well‐posedness to the system of mixed quasivariational‐like inequalities, which includes symmetric quasi‐equilibrium problems as a special case.
L. C. Ceng, Y. C. Lin, Yonghong Yao
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