0380541 - MÚ 2013 RIV CZ eng J - Journal Article
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
Institutional research plan: CEZ:AV0Z10190503
Keywords : abstract differential equations * semigroups of operators * rational approximations
Subject RIV: BA - General Mathematics
Impact factor: 0.222, year: 2012 ; AIS: 0.4, rok: 2012
Result website:
http://www.springerlink.com/content/r41kh7q3m374631j/DOI: https://doi.org/10.1007/s10492-012-0003-1

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).
Permanent Link: http://hdl.handle.net/11104/0211223