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Steady state in a biological system: global asymptotic stability

Maria Adelaide Sneider — 1988

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

A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron K , is globally asymptotically stable in K . The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.

Sul problema pluriarmonico in un campo sferico di 𝐂 n per n 3

Maria Adelaide Sneider — 1983

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

Let Σ be the boundary of the unit ball Ω of 𝐂 n . A set of second order linear partial differential operators, tangential to Σ , is explicitly given in such a way that, for n 3 , the corresponding PDE caractherize the trace of the solution of the pluriharmonic problem (either “in the large” or “local”), relative to Ω .

Steady state in a biological system: global asymptotic stability

Maria Adelaide Sneider — 1988

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

A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron K , is globally asymptotically stable in K . The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.

Sul problema pluriarmonico in un campo sferico di 𝐂 n per n 3

Maria Adelaide Sneider — 1983

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

Let Σ be the boundary of the unit ball Ω of 𝐂 n . A set of second order linear partial differential operators, tangential to Σ , is explicitly given in such a way that, for n 3 , the corresponding PDE caractherize the trace of the solution of the pluriharmonic problem (either “in the large” or “local”), relative to Ω .

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