Research On The Configuration Method Of A Class Of Index 1 Delayed Integral Algebraic Equations

In this paper,we mainly focus on collocation methods for a class of index-1delay integral-algebraic equations.The specific models of equations are diffusely used in many fields,such as physics,chemistry and biology.So it has important theoretical value and practical significance.In this paper,we first review the research status of Volterra integral equations and integral-algebraic equations.Next,resort to the resolvent representation of the solution,the existence,uniqueness and regularity are proved by the induction argument.Finally,the collocation scheme for delay integral-algebraic equations of index 1 is given,and the convergence of the collocation method is analyzed thoroughly.