<p>Constructive conditions for regularizing a linear Noetherian integro-differential boundary value problem for a Fredholm-type equation with a degenerate kernel unsolved with respect to the derivative and a scheme for finding its solutions have been found. The generating system for such an equation is a differential-algebraic system with a rectangular matrix at the derivative, the solution of which depends on an arbitrary continuous vector function.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

ON REGULARIZATION OF AN INTEGRO-DIFFERENTIAL BOUNDARY VALUE PROBLEM UNSOLVED WITH RESPECT TO THE DERIVATIVE, BY PERTURBING THE BOUNDARY CONDITION

  • Sergiy M. Chuiko,
  • Olga V. Nesmelova,
  • Vlada O. Kuzmina

摘要

Constructive conditions for regularizing a linear Noetherian integro-differential boundary value problem for a Fredholm-type equation with a degenerate kernel unsolved with respect to the derivative and a scheme for finding its solutions have been found. The generating system for such an equation is a differential-algebraic system with a rectangular matrix at the derivative, the solution of which depends on an arbitrary continuous vector function.