In this paper we use Groebner's method to solve Cauchy problems for evolution equations, linear or not, which have a controller, i.e. a numerical function or a differential operator. In the former case we improve a well known result for linear problems; in the second case, the solution will be worked out through the integration of a Volterra integral equation having a Lagrange series as operator kernel.
Lie and Lagrange Series in Nonlinear Equations with Controlled Evolution
DI BARTOLOMEO, Antonio;QUARTIERI, Joseph;
2003
Abstract
In this paper we use Groebner's method to solve Cauchy problems for evolution equations, linear or not, which have a controller, i.e. a numerical function or a differential operator. In the former case we improve a well known result for linear problems; in the second case, the solution will be worked out through the integration of a Volterra integral equation having a Lagrange series as operator kernel.File in questo prodotto:
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