Abstract
It is known that nonlinear processes with distributed parameters present a great diversity and complexity, both phenomenologically and under the aspect of mathematical formalism [33–70]. The present chapter refers to a main approach, to those categories of nonlinear processes with distributed parameters for which mathematical formalism can be exemplified through PDE of the type ( 4.1, …,4.8). Within this frame, besides the constant coefficients (a …), there needs to exist at least one non-constant coefficient like a…(t, p), a…(t, p, q) or a(t, p, q, r). The continuity conditions remain of course valid in the Cauchy sense, for a (…) as well as for the right member φ (…).
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© 2013 Springer International Publishing Switzerland
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Colosi, T., Abrudean, MI., Unguresan, ML., Muresan, V. (2013). Nonlinear Processes with Distributed Parameters. In: Numerical Simulation of Distributed Parameter Processes. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00014-5_5
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DOI: https://doi.org/10.1007/978-3-319-00014-5_5
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Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00013-8
Online ISBN: 978-3-319-00014-5
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