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In this paper we prove a comparison result between semicontinuous viscosity subsolutions and supersolutions to Hamilton-Jacobi equations of the form $u_{t} + H (x, D u) = 0$ in $I R^{n} \times (0, T)$ where the Hamiltonian H may be noncoercive in the gradient Du. As a consequence of the comparison result and the Perron's method we get the existence of a continuous solution of this equation.

Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.

M.A. Olshanetsky, A.M. perelomov (1976)

Inventiones mathematicae

Completely integrable systems associated with classical root systems.

Oshima, Toshio (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques

Didier Robert, Bernard Helffer (1981)

Annales de l'institut Fourier

Dans cet article nous généralisons les résultats obtenus par J. Chazarain sur le spectre d’opérateurs de Schrödinger $P (h) = \frac{h^{2}}{2} Δ + V$ lorsque $h \to 0$ . Nous étendons ses résultats aux opérateurs pseudo-différentiels globalement elliptiques d’ordre $m > 0$ .

Composite control of the $n$ -link chained mechanical systems

Jiří Zikmund (2008)

Kybernetika

In this paper, a new control concept for a class of underactuated mechanical system is introduced. Namely, the class of $n$ -link chains, composed of rigid links, non actuated at the pivot point is considered. Underactuated mechanical systems are those having less actuators than degrees of freedom and thereby requiring more sophisticated nonlinear control methods. This class of systems includes among others frequently used for the modeling of walking planar structures. This paper presents the stabilization...

Conservation Criteria, Canonical Transformations, and Integral Invariants in the Field Theory of Carathéodory for Multiple Integral Variational Problems. (Short Communication).

Hanno Rund (1975)

Aequationes mathematicae

Conservation criteria, canonical transformations, and integral invariants in the field theory of Carathéodory for multiple integral variational problems.

Hanno Rund (1975)

Aequationes mathematicae

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Closed form approximation solutions for the restricted circular three body problem.

Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural hamiltonian systems

Closed orbits of fixed energy for a class of N-body problems

Collision and stable regions around bodies with simple geometric shape.

Comment by the editors on the paper : “The hamiltonian formalism in higher order variational problems”

Comments on the dynamics of the Pais-Uhlenbeck oscillator.

Comparative vibration analysis of a parametrically nonlinear excited oscillator using HPM and numerical method.

Comparison and existence results for evolutive non-coercive first-order Hamilton-Jacobi equations

Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.

Completely integrable systems associated with classical root systems.

Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques

Composite control of the $n$ -link chained mechanical systems

Computations for a vibrating system diagonalize the variance.

Conjugate and cut loci of a two-sphere of revolution with application to optimal control

Connecting fast-slow systems and Conley index theory via transversality.

Connection space approach to ambiguities of gauge theories.

Connections and regularity on the tangent and cotangent bundle.

Connections between symmetries and conservation laws.

Conservation Criteria, Canonical Transformations, and Integral Invariants in the Field Theory of Carathéodory for Multiple Integral Variational Problems. (Short Communication).

Conservation criteria, canonical transformations, and integral invariants in the field theory of Carathéodory for multiple integral variational problems.

Currently displaying 21 – 40 of 68