Existence of positive solutions of fourth-order singular superlinear boundary value problems. (Q1411767)
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: Existence of positive solutions of fourth-order singular superlinear boundary value problems. |
scientific article; zbMATH DE number 1998903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of positive solutions of fourth-order singular superlinear boundary value problems. |
scientific article; zbMATH DE number 1998903 |
Statements
Existence of positive solutions of fourth-order singular superlinear boundary value problems. (English)
0 references
2003
0 references
Consider the boundary value problem \[ u^{(4)}(t) = f(t,u(t),u''(t)),\quad u(0)=u(1)=u''(0)=u''(1)=0, \] with \(f \) superlinear in the second variable. The authors derive necessary and sufficient conditions for the existence of positive solutions to this problem.
0 references
positive solution
0 references
