To Theory One Class Linear Model Noclassical Volterra Type Integral Equation with Left Boundary Singular Point

• 作者: Nusrat Rajabov
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NEOCLASSICAL VOLTERRA Type Integral Equation LEFT BOUNDARY SINGULAR Point BOUNDARY Value Problems
• 年，卷（期）: 2013,（9）
• 页码范围: 1301-1312
• 页数: 12页
• 分类号: O1

摘要

In this work, we investigate one class of Volterra type integral equation, in model case, when kernels have first order fixed singularity and logarithmic singularity. In detail study the case, when n = 3. In depend of the signs parameters solution to this integral equation can contain three arbitrary constants, two arbitrary constants, one constant and may have unique solution. In the case when general solution of integral equation contains arbitrary constants, we stand and investigate different boundary value problems, when conditions are given in singular point. Besides for considered integral equation, the solution found cane represented in generalized power series. Some results obtained in the general model case.