On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0
In this paper, we discuss under what conditions the solutions to (m(t)x′)′+a(t)b(x)=0 are bounded, oscillatory, and stable. Furthermore, some applications of these results are given during the discussion and proofs of the theorems.
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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117128700005X |
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| _version_ | 1832564981535604736 |
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| author | Allan J. Kroopnick |
| author_facet | Allan J. Kroopnick |
| author_sort | Allan J. Kroopnick |
| collection | DOAJ |
| description | In this paper, we discuss under what conditions the solutions to (m(t)x′)′+a(t)b(x)=0 are bounded, oscillatory, and stable. Furthermore, some applications of these results are given during the discussion and proofs of the theorems. |
| format | Article |
| id | doaj-art-a5b41c7ad8914fee98d3f9a9903e280c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a5b41c7ad8914fee98d3f9a9903e280c2025-02-03T01:09:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-01101475010.1155/S016117128700005XOn the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0Allan J. Kroopnick0Division of Retirement and Survivor Studies, 1-B-10 Annex, Social Security Administration, 6401 Security Boulevard, Baltimore, Maryland 21235, USAIn this paper, we discuss under what conditions the solutions to (m(t)x′)′+a(t)b(x)=0 are bounded, oscillatory, and stable. Furthermore, some applications of these results are given during the discussion and proofs of the theorems.http://dx.doi.org/10.1155/S016117128700005Xboundedoscillatorystableperiodicmonotonic. |
| spellingShingle | Allan J. Kroopnick On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0 International Journal of Mathematics and Mathematical Sciences bounded oscillatory stable periodic monotonic. |
| title | On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0 |
| title_full | On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0 |
| title_fullStr | On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0 |
| title_full_unstemmed | On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0 |
| title_short | On the boundedness and oscillation of solutions to (m(t)x′)′+a(t)b(x)=0 |
| title_sort | on the boundedness and oscillation of solutions to m t x a t b x 0 |
| topic | bounded oscillatory stable periodic monotonic. |
| url | http://dx.doi.org/10.1155/S016117128700005X |
| work_keys_str_mv | AT allanjkroopnick ontheboundednessandoscillationofsolutionstomtxatbx0 |