Asymptotic relationships between two higher order ordinary differential equations
Some asymptotic relationships between the two ordinary differential equations (1) x(n)+p1(t)x(n−1)+…+pn(t)x=0, (2) y(n)+p1(t)y(n−1)+…+pn(t)y=f(t,y), are studied. Conditions are given that lead to an asymptotic equi...
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000514 |
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| _version_ | 1832545731578167296 |
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| author | Takasi Kusano |
| author_facet | Takasi Kusano |
| author_sort | Takasi Kusano |
| collection | DOAJ |
| description | Some asymptotic relationships between the two ordinary differential equations
(1) x(n)+p1(t)x(n−1)+…+pn(t)x=0,
(2) y(n)+p1(t)y(n−1)+…+pn(t)y=f(t,y),
are studied. Conditions are given that lead to an asymptotic equivalence between certain of the solutions of (1) and certain of the solutions of (2). The case where the perturbation f(t,y) depends on a functional argument is also discussed. |
| format | Article |
| id | doaj-art-a542da57c9cc4da592a3760d1fa7e640 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a542da57c9cc4da592a3760d1fa7e6402025-02-03T07:24:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016355956610.1155/S0161171283000514Asymptotic relationships between two higher order ordinary differential equationsTakasi Kusano0Department of Mathematics, Faculty of Science, Hiroshima University, Hiroshima, JapanSome asymptotic relationships between the two ordinary differential equations (1) x(n)+p1(t)x(n−1)+…+pn(t)x=0, (2) y(n)+p1(t)y(n−1)+…+pn(t)y=f(t,y), are studied. Conditions are given that lead to an asymptotic equivalence between certain of the solutions of (1) and certain of the solutions of (2). The case where the perturbation f(t,y) depends on a functional argument is also discussed.http://dx.doi.org/10.1155/S0161171283000514ordinary differential equationsaymptotic relationsfunctional differential equations. |
| spellingShingle | Takasi Kusano Asymptotic relationships between two higher order ordinary differential equations International Journal of Mathematics and Mathematical Sciences ordinary differential equations aymptotic relations functional differential equations. |
| title | Asymptotic relationships between two higher order ordinary differential equations |
| title_full | Asymptotic relationships between two higher order ordinary differential equations |
| title_fullStr | Asymptotic relationships between two higher order ordinary differential equations |
| title_full_unstemmed | Asymptotic relationships between two higher order ordinary differential equations |
| title_short | Asymptotic relationships between two higher order ordinary differential equations |
| title_sort | asymptotic relationships between two higher order ordinary differential equations |
| topic | ordinary differential equations aymptotic relations functional differential equations. |
| url | http://dx.doi.org/10.1155/S0161171283000514 |
| work_keys_str_mv | AT takasikusano asymptoticrelationshipsbetweentwohigherorderordinarydifferentialequations |