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SUMMARY:Volterra Integral Equations of the First Kind with Jump Discontinu
 ous Kernels - Sidorov\, D (Russian Academy of Sciences)
DTSTART:20140214T110000Z
DTEND:20140214T114500Z
UID:TALK50884@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Sufficient conditions are derived for existence and uniqueness
  for the continuous solutions of the Volterra operator integral equations 
 of the first kind with jump discontinuous kernels. Method of steps which i
 s the well-known principle in the theory of functional equations is employ
 ed in combination with the method of successive approximations. We also ad
 dress the case when the solution is not unique and prove the existence of 
 parametric families of solutions and construct them as power-logarithmic a
 symptotic expansions. The proposed theory is demonstrated for the scalar V
 olterra equations of the 1st kind with jump discontinuous kernels with app
 lications in evolving dynamical systems modeling. \n\nRelated Links: http:
 //studia.complexica.net/index.php?option=com_content&view=article&id=209%3
 Avolterra-equations-of-the-first-kind-with-discontinuous-kernels-in-the-th
 eory-of-evolving-systems-control-pp-135-146&catid=58%3Anumber-3&Itemid=103
 &lang=fr - Related paper in Studia Informatica Universalis \n
LOCATION:Seminar Room 1\, Newton Institute
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