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Fu and Mei [9] investigated the approximate controllability of semilinear neutral functions differential systems with finite delay.
Mostly, researchers consider the case of implicit functions, so by keeping this in mind we consider neutral functions where the nonlinear function f not only depends on (x_{t}) but also depends on the fractional derivative (D_{0^^{delta}x_{t} ) of the delayed term of the unknown function.
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Domain C exhibited a preference for a positive charge over a neutral function, with the space this functional group occupies contributing to affinity.
h If the null hypothesis H0 : δ m = 0 is not rejected, the model can be substantially described by the neutral function model explained by (3) and originally proposed by Battese and Coelli (1995).
Consider the neutral function differential system described by the following state equation: x ˙ ( t ) − J x ˙ ( t − d ) = A x ( t ) + A 1 x ( t − d ) + f ( t, x ( t ), x ( t − d ) ), (20).
Consider an uncertain neutral function differential system described by the following state equation: x ˙ ( t ) − J x ˙ ( t − d ) = ( A + Δ A ( t ) ) x ( t ) + ( A d + Δ A d ( t ) ) x ( t − d ) + f ( t, x ( t ), x ( t − d ) ), x ( t ) = φ ( t ), t ∈ [ − d, 0 ], (27).
In view of the extreme conservation of the H4 amino acid sequence across metazoans, also preserved in the other 5 O. dioica H4.1 genes, a neutral function of these mutations is questionable.
Since they are based on solution-neutral functions, they also offer multiple potential solutions at once.
Note also in this connection the papers [28 31], where results on nonoscillation and positivity of Green's functions for neutral functional differential equations were obtained.
Note also in this connection the papers in [12 15], where results on nonoscillation and positivity of Green's functions for neutral functional differential equations were obtained.
In the neo-f and iad models, one paralog evolves under positive selection (ω > 1) as it is recruited for a new function or a previously neutral minor function, while the other paralog evolves under selective constraint (ω < 1) to preserve the ancestral function.
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