The Integral Equation, Corresponding to the Ordinary Differential Equation

Igor Petrovich Dobrovolsky

doi:10.4236/oalib.1101058

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Open Access Library Journal > Vol.1 No.7, October 2014

The Integral Equation, Corresponding to the Ordinary Differential Equation ()

Igor Petrovich Dobrovolsky

Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia.

DOI: 10.4236/oalib.1101058 PDF 1,077 Downloads 1,478 Views Citations

Abstract

The differential operator of the ordinary differential equation (ODE) is represented as the sum of two operators: basic and supplementing operators. The order of the higher derivatives of a basic operator and ODE operator should coincide. If the basic operator has explicit system of fundamental solutions it is possible to make integral equation Volterra of II kind. For linear equations the approximate solutions of the integral equation are system of the approximate fundamental solutions of the initial ODE.

Keywords

Fundamental Solutions

Share and Cite:

Dobrovolsky, I. (2014) The Integral Equation, Corresponding to the Ordinary Differential Equation. Open Access Library Journal, 1, 1-5. doi: 10.4236/oalib.1101058.

Conflicts of Interest

The authors declare no conflicts of interest.

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