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Structural discontinuities to approximate some optimization problems with a nonmonotone impulsive character

Aldo Bressan, Monica Motta (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In some preceding works we consider a class O P of Boltz optimization problems for Lagrangian mechanical systems, where it is relevant a line l = l γ ( ) , regarded as determined by its (variable) curvature function γ ( ) of domain s 0 , s 1 . Assume that the problem P ~ O P is regular but has an impulsive monotone character in the sense that near each of some points δ 1 to δ ν γ ( ) is monotone and | γ ( ) | is very large. In [10] we propose a procedure belonging to the theory of impulsive controls, in order to simplify P ~ into a structurally...

Structures symplectiques singulières génériques

Spyros N. Pnevmatikos (1984)

Annales de l'institut Fourier

Soit M une variété différentiable de dimension paire munie d’une 2-forme différentielle fermée générique Ω . L’apparition éventuelle d’un lieu de dégénérescence Σ ( Ω ) du rang de Ω est l’obstacle à ce que ( M , Ω ) soit une structure symplectique. Nous étudions les propriétés géométriques de Σ ( Ω ) et nous caractérisons l’algèbre des hamiltoniennes admissibles de ( M , Ω ) i.e. les fonctions différentiables h qui possèdent un champ hamiltonien X h sur M .

Sui moti polinomiali

Franco De Franchis (1970)

Rendiconti del Seminario Matematico della Università di Padova

Sul collasso di un ammasso di materia disgregata. Nota I

Dionigi Galletto, Bruno Barberis (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Starting from the considerations developed in [4], it is shown that the only forces at a distance exerted among the elements of an isolated spherical cluster of incoherent matter which, preserving homogeneity, is collapsing are those expressed by Newton's law of gravitation and those of the elastic type. Furthermore the reverse is shown, that is if the forces at a distance are of these two types during the collapse the homogeneity is preserved.

Sul collasso di un ammasso di materia disgregata. Nota II

Dionigi Galletto (1985)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

With reference to Nota I, the hypothesis that the cluster 𝒰 is spherical is substituted by the hypothesis that it has an isotropic behaviour with respect to a given frame of reference O with origin in an element O internal to 𝒰 . The kinematical behaviour of 𝒰 during the collapse with respect to the frames of reference with origin in the elements of 𝒰 and in translatory motion with respect to O is studied. This behaviour is the same with respect to each of such frames, which are in translatory motion...

Sul problema del rimbalzo in un insieme convesso

Marco Degiovanni (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In the present paper we seek the bounce trajectories in a convex set which assume assigned positions in two fixed time instants. We find sufficient conditions in order to obtain the existence of infinitely many bounce trajectories.

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