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High Quality Content by WIKIPEDIA articles! In mathematics, the Volterra integral equations are a special type of integral equations. They are divided into two groups referred to as the first and the second kind. The function K in the integral is often called the kernel. Such equations can be analysed and solved by means of Laplace transform techniques.The Volterra integral equations were introduced by Vito Volterra and then studied by Traian Lalescu in his 1908 thesis, Sur les équations de Volterra, written under the direction of Émile Picard. In 1911, Lalescu wrote the first book ever on integral equations.