The study of nonlinear almost periodic differential equations without recourse to the H-classes of these equations
Journal Article
·
· Sbornik. Mathematics
- National University of Water Management and Nature Resources Use, Rivne (Ukraine)
The well-known theorems of Favard and Amerio on the existence of almost periodic solutions to linear and nonlinear almost periodic differential equations depend to a large extent on the H-classes and the requirement that the bounded solutions of these equations be separated. The present paper provides different conditions for the existence of almost periodic solutions. These conditions, which do not depend on the H-classes of the equations, are formulated in terms of a special functional on the set of bounded solutions of the equations under consideration. This functional is used, in particular, to test whether solutions are separated. Bibliography: 24 titles. (paper)
- OSTI ID:
- 22365114
- Journal Information:
- Sbornik. Mathematics, Vol. 205, Issue 6; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
Similar Records
Bounded and periodic solutions of nonlinear functional differential equations
Necessary and sufficient conditions for the existence and uniqueness of a bounded solution of the equation ((dx(t))/(dt))=f(x(t)+h{sub 1}(t))+h{sub 2}(t)
ALMOST PERIODICITY AND THE QUANTAL H THEOREM
Journal Article
·
Thu May 31 00:00:00 EDT 2012
· Sbornik. Mathematics
·
OSTI ID:22365114
Necessary and sufficient conditions for the existence and uniqueness of a bounded solution of the equation ((dx(t))/(dt))=f(x(t)+h{sub 1}(t))+h{sub 2}(t)
Journal Article
·
Wed Feb 01 00:00:00 EST 2017
· Sbornik. Mathematics
·
OSTI ID:22365114
ALMOST PERIODICITY AND THE QUANTAL H THEOREM
Journal Article
·
Wed Mar 01 00:00:00 EST 1961
· J. Math. Phys.
·
OSTI ID:22365114