Properties of solutions to a second order nonlinear differential equation
In this note, we show when all solutions to the nonlinear differential equation x″+c(t)f(x)g(x′)x′+a(t,x)=0 are bounded. Furthermore, the solutions are either oscillatory or monotonic and asymptotically stable.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171290001156 |
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| Summary: | In this note, we show when all solutions to the nonlinear differential equation x″+c(t)f(x)g(x′)x′+a(t,x)=0 are bounded. Furthermore, the solutions are either oscillatory or monotonic and asymptotically stable. |
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| ISSN: | 0161-1712 1687-0425 |