Accession Number:

AD0612648

Title:

HEREDITARY DEPENDENCE IN THE THEORY OF DIFFERENTIAL EQUATIONS, PART II,

Personal Author(s):

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Report Date:

1965-03-01

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.

Supplementary Note:

See also AD-610 842.

Pages:

0048

Identifiers:

Contract Number:

Nonr59517

File Size:

0.00MB

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