Uniqueness implies existence and uniqueness criterion for nonlocal boundary value problems for third order differential equations
By Stephen Clark, J. Henderson. 2006
47 citations recorded by the source corpus.
For the third order differential equation, y''' = f(x,y,y',y"), we consider uniqueness implies existence results for solutions satisfying the nonlocal 4-point boundary conditions, y(x 1 ) = y 1 , y(x 2 ) = y 2 , 9(x 3 ) - v(x 4 ) = v3. Uniqueness of solutions of such boundary value problems is intimately related to solutions of the third order equation satisfying certain nonlocal 3-point boundary conditions. These relationships are investigated as well.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/294e2ea76aba66a550b72ab2e9f858261d8c6f53
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Paolamaria Pietramala
- Gennaro Infante
- Christopher S. Goodrich
- J. R. L. Webb
- Arturas Stikonas
- Filomena Cianciaruso
- Lishan Liu
- Yonghong Wu
In Mathematical Physics
Citations in the corpus
- A third order boundary value problem subject to nonlinear boundary conditions (2010, background): “322 (2006), 735–748. zbl [4] S.Clark, J. Henderson: Uniqueness implies existence and uniqueness criterion for nonlocal boundary value problems for third order differential equations.”