Approximate solution of an inhomogeneous abstract differential equation

0380541 - MÚ 2013 RIV CZ eng J - Článek v odborném periodiku
Vitásek, Emil
Approximate solution of an inhomogeneous abstract differential equation.
Applications of Mathematics. Roč. 57, č. 1 (2012), s. 31-41. ISSN 0862-7940. E-ISSN 1572-9109
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: abstract differential equations * semigroups of operators * rational approximations
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.222, rok: 2012
http://www.springerlink.com/content/r41kh7q3m374631j/

Recently, we have developed the necessary and sufficient conditions under which a rational function F(hA) approximates the semigroup of operators exp(tA) generated by an infinitesimal operator A. The present paper extends these results to an inhomogeneous equation u'(t) = Au(t) + f(t).
Trvalý link: http://hdl.handle.net/11104/0211223