Integral equations, Volterra equations, and the remarkable resolvent: contractions
This paper concerns several variants of an integral equation $$ x(t)=a(t)-\int^t_0 C(t,s) x(s)ds,$$ a resolvent $$ R(t,s),$$ and a variation-of-parameters formula $$ x(t)=a(t)-\int^t_0 R(t,s) a(s)ds $$ with special accent on the case in which $a(t)$ is unbounded. We use contraction mappings to estab...
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| Format: | Article |
| Language: | English |
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University of Szeged
2006-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=238 |