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This fixed point solves equation (1) and tends to zero.
The function (x t)) given in (4.7) solves equation (4.6).
By construction, the function (u^{mathfrak {d}_{p}} t,z,epsilon)) solves equation (72).
for all n, where u n ( x, t ) solves equation (1.1) with u n ( x, 0 ) = ψ n.
It is easy to verify that equation (1.1) has a solution ((u,v) ) if and only if ((u,v)) solves equation (3.1).
It is easy to see that a minimizer of the functional F as defined in(3.18) in (Y_{mathit {MR}_{0}}^{alpha}) solves equation (3.17).
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It solves equations, plots graphs, creates models and analyses data.
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Further solving Equation 3 provided an equation for t. (4).
Equation (12) is called the solving equation of CT.
Then the equilibrium states are determined by solving equation (1.1).
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