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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |