Generalized Solution to the Volterra Equations with Piecewise Continuous Kernels
Статья в журнале
Sidorov D.N.
Bulletin of the Malaysian Mathematical Sciences Society
Bulletin of the Malaysian Mathematical Sciences Society. Vol.37. No.3. P.757-768.
2014
Sufficient conditions for existence and uniqueness of the solution of the Volterra integral equations of the first kind with piecewise continuous kernels are derived in framework of Sobolev-Schwartz distribution theory. The asymptotic approximation of the parametric family of generalized solutions is constructed. The method for the solution's regular part refinement is proposed using the successive approximations method.
Библиографическая ссылка
Sidorov D.N. Generalized Solution to the Volterra Equations with Piecewise Continuous Kernels // Bulletin of the Malaysian Mathematical Sciences Society. Vol.37. No.3. 2014. P.757-768.
