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Feb 19, 2018 · Definition 1.3 (Maximal solution). A solution is said to be maximal when it cannot be extended (in the sense of the previous definition). The ...
By definition, a solution is maximal if every other solution ˜x:[t0,t1)→R is contained in the maximal solution, i.e.. t1≤T (so the solution is not defined on ...
Feb 2, 2024 · I know vaguely it has something to do with domain, but I'm not exactly sure. An example displaying what it means would be helpful.
Here we study the maximum interval to which a solution may be extended.
We prove some new results on existence of solutions to first-order ordinary differential equations with deviated arguments. Delay differential equations are ...
The functions μ(P) are called profiles. We establish sufficient conditions—which when they apply are constructive—that there exist a μ 0 ϵ L ∞ (Ω) such that uμ ...
Abstract: In this section, we shall consider the question of existence of a maximal solution for the initial value problem : (9.1) together with.