On stability and boundedness of solutions of a certain fourth-order delay differential equation
Using a Razumikhin - type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differential equation. The Lyapunov function constructed for an ordinary fourth-order differential equation is seen to w...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1989-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171289000724 |
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| _version_ | 1832558294074392576 |
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| author | Emmanuel O. Okoronkwo |
| author_facet | Emmanuel O. Okoronkwo |
| author_sort | Emmanuel O. Okoronkwo |
| collection | DOAJ |
| description | Using a Razumikhin - type theorem, we deduce sufficient conditions that
guarantee the uniform asymptotic stability and boundedness of solutions of a scalar
real fourth-order delay differential equation. The Lyapunov function constructed for
an ordinary fourth-order differential equation is seen to work for the delay system. |
| format | Article |
| id | doaj-art-163217805000447db6b87523bbd2fdd8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1989-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-163217805000447db6b87523bbd2fdd82025-02-03T01:32:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251989-01-0112358960210.1155/S0161171289000724On stability and boundedness of solutions of a certain fourth-order delay differential equationEmmanuel O. Okoronkwo0Department of Mathematical Sciences, Loyola University, New Orleans 70118, Louisiana, USAUsing a Razumikhin - type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differential equation. The Lyapunov function constructed for an ordinary fourth-order differential equation is seen to work for the delay system.http://dx.doi.org/10.1155/S0161171289000724 |
| spellingShingle | Emmanuel O. Okoronkwo On stability and boundedness of solutions of a certain fourth-order delay differential equation International Journal of Mathematics and Mathematical Sciences |
| title | On stability and boundedness of solutions of a certain
fourth-order delay differential equation |
| title_full | On stability and boundedness of solutions of a certain
fourth-order delay differential equation |
| title_fullStr | On stability and boundedness of solutions of a certain
fourth-order delay differential equation |
| title_full_unstemmed | On stability and boundedness of solutions of a certain
fourth-order delay differential equation |
| title_short | On stability and boundedness of solutions of a certain
fourth-order delay differential equation |
| title_sort | on stability and boundedness of solutions of a certain fourth order delay differential equation |
| url | http://dx.doi.org/10.1155/S0161171289000724 |
| work_keys_str_mv | AT emmanuelookoronkwo onstabilityandboundednessofsolutionsofacertainfourthorderdelaydifferentialequation |