EXISTENCE AND APPROXIMATION THEOREMS FOR ORDINARY DIFFERENTIAL EQUATIONS AND THEIR SYSTEMS PART I,
Abstract
An existence theorem for y' =f(x, y) is established by assuming only the continuity of f(x, y) and by using a class of recurrence relations instead of Euler's formula used in Peano's theorem. This theorem is extended to the system of ordinary differential equations. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1963
- Accession Number
- AD0420342
Entities
People
- Diran Sarafyan
Organizations
- University of Wisconsin–Madison