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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Volterra Integral Equations of the First Kind with
Jump Discontinuous Kernels - Sidorov\, D (Russian
Academy of Sciences)
DTSTART;TZID=Europe/London:20140214T110000
DTEND;TZID=Europe/London:20140214T114500
UID:TALK50884AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/50884
DESCRIPTION:Sufficient conditions are derived for existence an
d uniqueness for the continuous solutions of the V
olterra operator integral equations of the first k
ind with jump discontinuous kernels. Method of ste
ps which is the well-known principle in the theory
of functional equations is employed in combinatio
n with the method of successive approximations. We
also address the case when the solution is not un
ique and prove the existence of parametric familie
s of solutions and construct them as power-logarit
hmic asymptotic expansions. The proposed theory is
demonstrated for the scalar Volterra equations of
the 1st kind with jump discontinuous kernels with
applications in evolving dynamical systems modeli
ng. \n\nRelated Links: http://studia.complexica.ne
t/index.php?option=com_content&view=article&id=209
%3Avolterra-equations-of-the-first-kind-with-disco
ntinuous-kernels-in-the-theory-of-evolving-systems
-control-pp-135-146&catid=58%3Anumber-3&Itemid=103
&lang=fr - Related paper in Studia Informatica Uni
versalis \n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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