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.File in questo prodotto:
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