Boundedness and convergence of solutions of a second-order nonlinear differential system (Q5933405)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Boundedness and convergence of solutions of a second-order nonlinear differential system |
scientific article; zbMATH DE number 1598963
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness and convergence of solutions of a second-order nonlinear differential system |
scientific article; zbMATH DE number 1598963 |
Statements
Boundedness and convergence of solutions of a second-order nonlinear differential system (English)
0 references
10 April 2002
0 references
system of differential equations
0 references
0 references
0 references
0 references
0 references
0 references
0 references
The author considers the second-order nonlinear differential system NEWLINE\[NEWLINE\dot{x}= \frac{1}{a(x)}[h(y)-F(x)],\qquad \dot{y}= -a(x)[g(x)-e(t)].NEWLINE\]NEWLINE Sufficient and necessary conditions for all solutions to be bounded and to converge to zero are presented. The obtained results are applied to the differential equation NEWLINE\[NEWLINE \ddot{x}+f_1(x)\dot{x}+f_2(x)\dot{x}^2+g(x)=e(t).NEWLINE\]
0 references
