General boundedness theorems to some second order nonlinear differential equation with integrable forcing term
In this note we present a boundedness theorem to the equation x″+c(t,x,x′)+a(t)b(x)=e(t) where e(t) is a continuous absolutely integrable function over the nonnegative real line. We then extend the result to the equation x″+c(t,x,x′)+a(t,x)=e(t). The first theorem provides the motivation for the sec...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295001050 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562683991293952 |
|---|---|
| author | Allan Kroopnick |
| author_facet | Allan Kroopnick |
| author_sort | Allan Kroopnick |
| collection | DOAJ |
| description | In this note we present a boundedness theorem to the equation
x″+c(t,x,x′)+a(t)b(x)=e(t) where e(t) is a continuous absolutely integrable function over the
nonnegative real line. We then extend the result to the equation x″+c(t,x,x′)+a(t,x)=e(t). The
first theorem provides the motivation for the second theorem. Also, an example illustrating the theory is
then given. |
| format | Article |
| id | doaj-art-9436bedbf3ef4461bf9a47218db0e6a6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9436bedbf3ef4461bf9a47218db0e6a62025-02-03T01:22:09ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118482382410.1155/S0161171295001050General boundedness theorems to some second order nonlinear differential equation with integrable forcing termAllan Kroopnick0Office of Retirement & Survivors Insurance, Social Security Administration, 3-D-21 Operations Building, 6401 Security Boulevard, Baltimore 21235, MD, USAIn this note we present a boundedness theorem to the equation x″+c(t,x,x′)+a(t)b(x)=e(t) where e(t) is a continuous absolutely integrable function over the nonnegative real line. We then extend the result to the equation x″+c(t,x,x′)+a(t,x)=e(t). The first theorem provides the motivation for the second theorem. Also, an example illustrating the theory is then given.http://dx.doi.org/10.1155/S0161171295001050integrable forcing termboundednonlinear differential equation. |
| spellingShingle | Allan Kroopnick General boundedness theorems to some second order nonlinear differential equation with integrable forcing term International Journal of Mathematics and Mathematical Sciences integrable forcing term bounded nonlinear differential equation. |
| title | General boundedness theorems to some second order nonlinear differential equation with integrable forcing term |
| title_full | General boundedness theorems to some second order nonlinear differential equation with integrable forcing term |
| title_fullStr | General boundedness theorems to some second order nonlinear differential equation with integrable forcing term |
| title_full_unstemmed | General boundedness theorems to some second order nonlinear differential equation with integrable forcing term |
| title_short | General boundedness theorems to some second order nonlinear differential equation with integrable forcing term |
| title_sort | general boundedness theorems to some second order nonlinear differential equation with integrable forcing term |
| topic | integrable forcing term bounded nonlinear differential equation. |
| url | http://dx.doi.org/10.1155/S0161171295001050 |
| work_keys_str_mv | AT allankroopnick generalboundednesstheoremstosomesecondordernonlineardifferentialequationwithintegrableforcingterm |