Limit-point criteria for superlinear differential equations (Q1772535)
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: Limit-point criteria for superlinear differential equations |
scientific article; zbMATH DE number 2157936
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit-point criteria for superlinear differential equations |
scientific article; zbMATH DE number 2157936 |
Statements
Limit-point criteria for superlinear differential equations (English)
0 references
18 April 2005
0 references
The authors obtain two limit-point criteria for the nonlinear differential equation \(x''+a(t)f(x)=0\) by establishing results which guarantee the nonexistence of nontrivial bounded \(L^2\)-solutions. The restriction on \(f(x)\) here is just a growth assumption, while that on \(a(t)\) is weaker than previously employed.
0 references
nonlinear differential equations
0 references
second-order
0 references
square integrable solutions
0 references
bounded solutions
0 references
asymptotic behavior
0 references
limit-point/limit-circle classification
0 references
