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has the unique solution.
has the unique solution (2.7).
which has the unique solution (3.12).
Hence boundary value problem (1 - 2) has the unique solution.
has the unique solution u ( t ) = ∑ k = 0 n − 1 u ( k ) ( 0 ) k ! t k.
Then problem (21) has the unique solution (v x,t)) whenever (0 < gamma<1).
By Theorem 4.3, equation (6.13) has the unique solution X t)=e_{A}(t).
Since m is strict, the equation (phi(x)=x) has the unique solution (x=1).
has the unique solution u = T ∗ f for any f ∈ H, where T ∗ is adjoint operator.
Thus, according to Theorem 2.7 for each, (3.47) with the initial condition has the unique solution.
Proposition 2.2 The subsystem (8) has the unique solution Z k q = 0 q, 1. (12).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com