Necessary and sufficient conditions for existence and uniqueness of bounded and almost-periodic solutions of nonlinear differential equations

Authors
Slyusarchuk, VE
Citation
Ve. Slyusarchuk, Necessary and sufficient conditions for existence and uniqueness of bounded and almost-periodic solutions of nonlinear differential equations, ACT APPL MA, 65(1-3), 2001, pp. 333-341
Citations number
12
Categorie Soggetti
Mathematics
Journal title
ACTA APPLICANDAE MATHEMATICAE
ISSN journal
01678019 → ACNP
Volume
65
Issue
1-3
Year of publication
2001
Pages
333 - 341
Database
ISI
SICI code
0167-8019(200101)65:1-3<333:NASCFE>2.0.ZU;2-0
Abstract
Necessary and sufficient conditions of the existence and uniqueness of boun ded and almost-periodic solutions of nonlinear dif ferential equation dx/dt + f(x) = h(t), t is an element of R, are obtained. Here f: R --> R is cont inuous, h: R --> R is continuous and bounded.