We consider a semi-linear operator equation of the form $Lu=N(u)$ in a Hilbert space $H$, where $L$ is a self-adjoint linear operator and $N$ is a weak Gateaux differentiable gradient. For such an equation, under suitable assumptions on $L$ and $N$, we give an existence result and, by strengthening the hypotheses on $N$, two existence and uniqueness results.

On periodic solutions of non-conservative systems / L. Amaral; M.P. Pera. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 6:(1982), pp. 733-743.

On periodic solutions of non-conservative systems

PERA, MARIA PATRIZIA
1982

Abstract

We consider a semi-linear operator equation of the form $Lu=N(u)$ in a Hilbert space $H$, where $L$ is a self-adjoint linear operator and $N$ is a weak Gateaux differentiable gradient. For such an equation, under suitable assumptions on $L$ and $N$, we give an existence result and, by strengthening the hypotheses on $N$, two existence and uniqueness results.
1982
6
733
743
L. Amaral; M.P. Pera
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/675395
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