Monotonically Iterative Method for the Cantilever Beam Equations
In this paper, we consider the existence of extremal solutions for the nonlinear fourth-order differential equation. By use of a new comparison result, some sufficient conditions for the existence of extremal solutions are established by combining the monotone iterative technique and the methods of...
| Príomhchruthaitheoirí: | , , |
|---|---|
| Formáid: | Alt |
| Teanga: | English |
| Foilsithe / Cruthaithe: |
MDPI AG
2023-02-01
|
| Sraith: | Axioms |
| Ábhair: | |
| Rochtain ar líne: | https://www.mdpi.com/2075-1680/12/2/178 |
| Achoimre: | In this paper, we consider the existence of extremal solutions for the nonlinear fourth-order differential equation. By use of a new comparison result, some sufficient conditions for the existence of extremal solutions are established by combining the monotone iterative technique and the methods of lower and upper solutions. Finally, an example is given to illustrate the validity of our main results. |
|---|---|
| ISSN: | 2075-1680 |