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20022011
most citedCritical phenomena in complex networks

2.3k citations

Showing 2008 · math.OCShow all

6 papers · 2 filters

math.OC200861 cited

Isoperimetric problems on time scales with nabla derivatives

Ricardo Almeida, Delfim F. M. Torres

We prove a necessary optimality condition for isoperimetric problems under nabla-differentiable curves. As a consequence, the recent results of [M.R. Caputo, A unified view of oste…

math.OC200842 cited

The isoperimetric problem for Holderian curves

Ricardo Almeida, Delfim F. M. Torres

We prove a necessary stationary condition for non-differentiable isoperimetric variational problems with scale derivatives, defined on the class of Hölder continuous functions.

math.OC2008101 cited

Calculus of Variations on Time Scales with Nabla Derivatives

Natalia Martins, Delfim F. M. Torres

We prove a necessary optimality condition of Euler-Lagrange type for variational problems on time scales involving nabla derivatives of higher-order. The proof is done using a new…

math.OC2008

The problem of the body of revolution of minimal resistance

Alexander Plakhov, Alena Aleksenko

Newton's problem of the body of minimal aerodynamic resistance is traditionally stated in the class of {\it convex} axially symmetric bodies with fixed length and width. We state a…

math.OC20081 cited

Necessary Optimality Condition for a Discrete Dead Oil Isotherm Optimal Control Problem

Moulay Rchid Sidi Ammi, Delfim F. M. Torres

We obtain necessary optimality conditions for a semi-discretized optimal control problem for the classical system of nonlinear partial differential equations modelling the water-oi…

math.OC200825 cited

Necessary and sufficient conditions for local Pareto optimality on time scales

Agnieszka B. Malinowska, Delfim F. M. Torres

We study a multiobjective variational problem on time scales. For this problem, necessary and sufficient conditions for weak local Pareto optimality are given. We also prove a nece…