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Exact(9)

Let be the maximal solution for the impulsive Cauchy problem (2.4).

Let (u(t t_{0},u_{0})) be the maximal solution of the first equation of the couple of FrDE (6).

Let r ( x ) be the maximal solution of D β u = g ( x, u ), u 0 ≥ 0, existing on [ x 0, x 0 + η ].

Let (tilde {r}(t)=r(t t_{0},u_{0})) be the maximal solution of the scalar differential equation (u'=g t,u)) with initial condition (u(t_{0})=u_{0}geq0), existing on ([t_{0},T]).

Let (g:(0,+infty timesmathbb{R}rightarrowmathbb{R}) (t,u rightarrow g t,u) be continuous and satisfy inequality (2.3), and let η be the maximal solution of (2.2) existing for (tin 0,+infty)).

and a, b ∈ K, b ( u ) → ∞ as u → ∞ on the interval 0 ≤ u < ∞; Let r(t) = r t, τ 0, u 0) be the maximal solution of the fractional order differential equation.

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Similar(51)

This is the maximal solution.

where ω is the maximal solution to (25).

where r ( t ) is the maximal solution of (3.5).

where ω is the maximal solution of the Cauchy problem (25).

Moreover, (x,y) is the maximal solution to these equations by construction.

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