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The case when the nonlinear boundary function is a nondecreasing one with respect to its second argument is studied.
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A set of Chebyshev polynomials multiplied by a boundary function is adopted as the admissible functions of the displacement components in each direction.
A set of triplicate Chebyshev polynomials multiplied by a boundary function is developed as the trial functions of each displacement components.
Further, a solution of the Dirichlet problem in a half-plane for a fast growing continuous boundary function is constructed by the generalized Dirichlet integral with this boundary function.
To save computational time, an implicit boundary function is often used.
A solution of the Poisson integral for any continuous boundary function is also given explicitly by the Poisson integral with the generalized Poisson kernel depending on this boundary function.
We show that our approach allows accurate treatment of singular cases which arise when the boundary function is discontinuous or incompatible with the differential equation.
In the case of the weak degeneracy ((alpha<1)), the solution of Problem D1 is continuous on the line of degeneracy if only the boundary function is equal to zero at the points (P_{0}) and (P_{H}). .
These results indicated that the boundary function is restored in H1299 cancer cell.
However, Fab-7 appears unusual in that its constitutive boundary function is generated by sub-elements whose activity is developmentally restricted.
The boundary function is dependent on TFIIIC and this transcription factor does cluster together in foci at the nuclear membrane (Noma et al. 2006).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com