New Lipschitz-type conditions for uniqueness of solutions of ordinary differential equations (Q2147840)
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| Language | Label | Description | Also known as |
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| English | New Lipschitz-type conditions for uniqueness of solutions of ordinary differential equations |
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New Lipschitz-type conditions for uniqueness of solutions of ordinary differential equations (English)
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20 June 2022
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The paper under review deals with local uniqueness of solutions of initial value problem \[ x^{\prime}(t)=f(t,x(t)), \] \[ x(t_0)=x_0 \] under Montel-Tonelli's condition. As a main result, some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs are given. Also the results are illustrated with examples not covered by earlier Lipschitz-type uniqueness tests.
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uniqueness
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ordinary differential equation
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Lipschitz condition
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Osgood condition
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Kamke-Osgood functions
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