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The drift and diffusion terms satisfy lower-triangular or upper-triangular homogeneous growth conditions.
Suppose that the leading coefficients and lower terms satisfy the structural assumptions H1 and H3.
The reaction terms satisfy the following partial quasi-monotonicity conditions (PQM), different from [15, 18, 19].
We also establish the uniqueness of the solution if the reaction terms satisfy the Lipschitz condition.
At last, we establish the uniqueness results when the reaction terms satisfy the Lipschitz condition.
Moreover, we derive a sufficient asymptotic synchronization condition for the neural networks with reaction-diffusion terms if reaction-diffusion terms satisfy a weaker condition.
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His terms satisfied neither the Confederate leaders nor the Radical Republicans, and so no peace was possible until the final defeat of the Confederacy.
Finally, a formally second-order extension based on limited reconstructed values on both sides of each interface and on an enriched interpretation of the source terms satisfies the same properties and gives a noticeable accuracy improvement.
The principal root of a positive real number b with a rational exponent u/v in lowest terms satisfies :b^\frac{u}{v} = \left(b^u\right)^\frac{1}{v} = \sqrt[v]{b^u} where u is an integer and v is a positive integer.
It is also presumed that the error term satisfies the usual classical assumptions (Gujarati 2011).
We suppose that the convection term satisfies (b_{i}(cdot, x,t)=0) when (xinpartialOmega).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com