Necessary and Sufficient Conditions Forglobal-in-time Existence of Solutions Ofordinary, Stochastic, and Parabolicdifferential Equations
نویسنده
چکیده
We derive necessary and sufficient conditions for global-in-time existence of solutions of ordinary differential, stochastic differential, and parabolic equations. The conditions are formulated in terms of complete Riemannian metrics on extended phase spaces (conditions with two-sided estimates) or in terms of derivatives of proper functions on extended phase spaces (conditions with one-sided estimates).
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