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The aim of this paper is to show a geometrical connection between elementary mechanical work, Newton law and Euler-Lagrange ODEs or PDEs. The single-time case is wellknown, but the multitime case is… (More)

- Constantin Udriste, Ionel Tevy
- J. Global Optimization
- 2011

This paper introduces a new type of dynamic programming PDE for optimal control problems with performance criteria involving multiple integrals. The main novel feature of the multitime dynamic… (More)

- Constantin Udriste, Cristian Ghiu, Ionel Tevy
- 2012

Looking for the geometrical structures that transform the solutions of a second order ODE into auto-parallel graphs, we need an Identity Theorem for ODEs. It is well-known that a similar theorem… (More)

The purpose of this paper is fourfold: (1) to introduce and study a second order PDE, determined accidentally by a Riemann wave, reflecting the connection between oriented parallelograms area and… (More)

This paper introduces and proves a stochastic variant of ChowRashewski global connectivity theorem for the Grushin distribution. Given two points A and B, in the Grushin distribution of step 2, then… (More)

- Constantin Udriste, Simona Dinu, Ionel Tevy
- 2013

In this paper, the multitime optimal control problem consists in devising a control such as to transfer a completely integrable linear PDE system from some given initial state to a specified target… (More)

The theory of smallest area surfaces evolving with unit areal speed is a particular case of the theory of surfaces of minimum area subject to various constraints. Based on our recent results, such… (More)

Recent years have seen intensive scientific activities of describing diffusion processes with Brownian covariance given by a Riemannian metric on a manifold. In our paper the dynamics is specified… (More)

- Cristian Ghiu, Raluca Tuligă, Constantin Udriste, Ionel Tevy
- 2015

Our original results refer to multivariate recurrences: discrete multitime diagonal recurrence, bivariate recurrence, trivariate recurrence, solutions tailored to particular situations, second order… (More)

- Manuela Iliuţă, Constantin Udriste, Ionel Tevy
- 2013

The paper presents a two-time motor control strategies for skilled movements. There are found movements which are optimum with various ”costs”, given by double integrals and different PDEs… (More)