The contingent epiderivative and the calculus of variations on time scales [PDF]
The calculus of variations on time scales is considered. We propose a new approach to the subject that consists in applying a differentiation tool called the contingent epiderivative. It is shown that the contingent epiderivative applied to the calculus of variations on time scales is very useful: it allows to unify the delta and nabla approaches ...
Girejko, E. +2 more
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Second-order composed contingent epiderivatives and set-valued vector equilibrium problems [PDF]
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Wang, Qilin +4 more
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The existence of contingent epiderivative for a set-valued mapping and vector variational-like inequalities [PDF]
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Chai, Yanfei, Liu, Sanyang, Li, Yanying
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About contingent epiderivatives
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Rodríguez-Marín, Luis, Sama, Miguel
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Variational characterization of the contingent epiderivative
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Rodríguez-Marín, Luis, Sama, Miguel
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Optimal Trajectories Associated to a Solution of Contingent Hamilton-Jacobi Equation [PDF]
In this paper we study the existence of optimal trajectories associated with a generalized solution to Hamilton-Jacobi-Bellman equation arising in optimal control. In general, we cannot expect such solutions to be differentiable.
Frankowska, H.
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Second-order efficient optimality conditions for set-valued vector optimization in terms of asymptotic contingent epiderivatives [PDF]
We propose a generalized second-order asymptotic contingent epiderivative of a set-valued mapping, study its properties, as well as relations to some second-order contingent epiderivatives, and sufficient conditions for its existence. Then, using these epiderivatives, we investigate set-valued optimization problems with generalized inequality ...
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The existence of contingent epiderivatives for set-valued maps
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Jahn, J., Khan, A.A.
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Constructing and exploring wells of energy landscapes
Landscape paradigm is ubiquitous in physics and other natural sciences, but it has to be supplemented with both quantitative and qualitatively meaningful tools for analyzing the topography of a given landscape.
Annick Lesne +12 more
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Existence of three positive solutions to some p-Laplacian boundary value problems [PDF]
We obtain, by using the Leggett-Williams fixed point theorem, sufficient conditions that ensure the existence of at least three positive solutions to some p-Laplacian boundary value problems on time scales. © 2013 Moulay Rchid Sidi Ammi and Delfim F.
Delfim +3 more
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