On uniqueness of an initial-value problem for ODE with hysteresis (Q1363130)
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scientific article; zbMATH DE number 1048835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On uniqueness of an initial-value problem for ODE with hysteresis |
scientific article; zbMATH DE number 1048835 |
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On uniqueness of an initial-value problem for ODE with hysteresis (English)
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12 March 1998
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The equation with a play nonlinearity \[ x'= -\sqrt\xi+ g(t),\quad \xi'=\begin{cases} x' &\text{for }x'>0,\;\xi= x\\ 0 &\text{otherwise}\end{cases} \] with initial conditions \(x(0)=0\), \(\xi(0)= 0\) is considered. For functions \(g\) of special types the existence of a continuous set of solutions is proved.
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initial-value problem for ODE
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hysteresis
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