HEREDITARY DEPENDENCE IN THE THEORY OF DIFFERENTIAL EQUATIONS, PART II,
Abstract
A general class of differential equations with hereditary dependence is introduced which includes most equations of hereditary type encountered in applications, with the notable exception of equations of neutral type. Furthermore, the class introduced allows the development of a strong and tractable qualitative theory closely resembling that of ordinary differential equations. Much of the linear analysis and the stability theory as developed by J. K. Hale for a more restricted class of hereditary equations carries over directly. However, only results associated with existence and uniqueness of solutions and dependence on initial data and parameters are considered.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1965
- Accession Number
- AD0612648
Entities
People
- G. Stephen Jones
Organizations
- University of Maryland