New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations
Copyright policy )New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations
We present some generalized Lipschitz conditions which imply uniqueness of solutions for scalar ODEs. We illustrate the applicability of our results with examples not covered by earlier Lipschitz–type uniqueness tests
1202.19 Ecuaciones Diferenciales Ordinarias, uniqueness, Kamke-Osgood functions, Uniqueness, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Nonlinear ordinary differential equations and systems, ordinary differential equation, Lipschitz condition, Ordinary differential equation, Osgood condition
1202.19 Ecuaciones Diferenciales Ordinarias, uniqueness, Kamke-Osgood functions, Uniqueness, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Nonlinear ordinary differential equations and systems, ordinary differential equation, Lipschitz condition, Ordinary differential equation, Osgood condition
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