Volume 28 • Number 2 • 2006   • Generalized Solutions of Volterra Integral Equations of the First Kind N.A. Sidorov, M.V. Falaleev and D.N. Sidorov Abstract. Volterra integral equations of the first kind are studied in terms of generalized functions. The solutions consist of singular and regular components which can be constructed separately. The singular component is constructed as solution of the special linear algebraic system. The regular component is constructed as solution of the special Volterra integral equation of the third kind. 2000 Mathematics Subject Classification: 45D05, 46F99. Full text: PDF