Boundedness of solutions to fourth-order differential equation with oscillatory restoring and forcing terms
This paper concerns the fourth order differential equation $$ x''''+ax'''+f(x'')+g(x')+h(x)=p(t). $$ Using the Cauchy formula for the particular solution of non-homogeneous linear differential equations with constant coefficients, we prove that...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/104/abstr.html |
| Summary: | This paper concerns the fourth order differential equation $$ x''''+ax'''+f(x'')+g(x')+h(x)=p(t). $$ Using the Cauchy formula for the particular solution of non-homogeneous linear differential equations with constant coefficients, we prove that the solution and its derivatives up to order three are bounded. |
|---|---|
| ISSN: | 1072-6691 |