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2007, 2007(Special): 28-34. doi: 10.3934/proc.2007.2007.28

Solvability of some volterra type integral equations in hilbert space

Onur Alp İlhan 1,

1. 

Erciyes University, Faculty of Education, 38039-Melikgazi, Kayseri, Turkey

Received  September 2006 Revised  December 2006 Published  September 2007

We consider an integral equation of Fredholm and Volterra type with spectral parameter depending on time. Conditions of solvability are established when the initial value of the parameter coincides with an eigenvalue of Fredholm operator.
Keywords: spectral theory, Volterra operator, Integral equation.
Mathematics Subject Classification: Primary:45A05.
Citation: Onur Alp İlhan. Solvability of some volterra type integral equations in hilbert space. Conference Publications, 2007, 2007 (Special) : 28-34. doi: 10.3934/proc.2007.2007.28
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