This discovery was the subject of several applications both in linear and nonlinear analysis (integral equations with singular kernels, differential equations defined on unbounded domains, neutral differential equations, differential operators having non-empty essential spectra, boundary value problems in Banach spaces and others).
A model for the dry-casting process for polymeric membrane formation is generalized to include a broader spectrum of boundary conditions.
We applied this approach to generate a series of permeability type curves under the full spectrum of boundary conditions spanning prescribed stresses through constrained displacement.
A novel solution method is presented which leads to an analytical model for the advective-dispersive transport in a semi-infinite domain involving a wide spectrum of boundary inputs, initial distributions, and zero-order productions.
This formulation allows a wide spectrum of boundary conditions and coupling conditions between the shell and the plate, an issue the importance of which is clearly shown by a literature review.
We benchmarked the solutions generated by using the permeability models with three common assumptions against our "accurate" solutions by using permeability models without these assumptions for the full spectrum of boundary conditions, and concluded that these common assumptions could produce unacceptable errors.
This deep experimental investigation involving a variety of material and environmental variables under a wide spectrum of boundary conditions will help in better understanding and will open several significant future prospects of research in the modeling of corrosion under limited oxygen availability.
The differential quadrature (DQ) methodology introduced by the authors [see, Comput. Methods Appl. Mech. Engng. 191 (2002a) 3509; Int. J. Solids Struct. 39 (19 2002b2b) 4927; Int. J. Numer. Methods Engng. 54 (3) (2003a) 847; J. Sound Vibrat. 263 (2003b003b) 415] is employed for out-of-plane static analysis of circular arches under a wide spectrum of boundary conditions.
The epidemic started precisely when aggressive drug company marketing succeeded in "educating" and sensitizing doctors, parents, and teachers to spot ADD in kids previously considered to be on the normal side of the spectrum's boundary.
We note that for recovering (Q x)) on the whole interval ([0,1]) it is necessary to specify two spectra of boundary value problems with different boundary conditions (see [15]).
