Note on the range of differential operator \(\left(\frac{d^2}{dt^2}\right)+F(\cdot)\) (Q2778304)
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scientific article; zbMATH DE number 1719615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on the range of differential operator \(\left(\frac{d^2}{dt^2}\right)+F(\cdot)\) |
scientific article; zbMATH DE number 1719615 |
Statements
13 March 2002
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periodic solutions
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second-order equation in a Hilbert space
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existence
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Note on the range of differential operator \(\left(\frac{d^2}{dt^2}\right)+F(\cdot)\) (English)
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The existence of periodic solutions is investigated for a rather general class of nonlinear second-order differential equations in Hilbert spaces. The nonlinearity in the right-hand side is assumed to be compact in a space variable. A degree argument is applied jointly with integral inequalities for the proofs.
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