Differentiation of solutions of nonlocal boundary value problems with respect to boundary data | Zendy

Jeffrey W. Lyons | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Differentiation of solutions of nonlocal boundary value problems with respect to boundary data

Author(s) -

Jeffrey W. Lyons

Publication year - 2011

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2011.1.51

Subject(s) - mathematics , boundary value problem , boundary (topology) , value (mathematics) , mathematical analysis , boundary values , mixed boundary condition , statistics

In this paper, we investigate boundary data smoothness for solutions of the nonlocal boundary X p=1 ripy( ip) = yik: Essentially, we show under certain conditions that partial derivatives of the solution to the problem above exist with respect to boundary conditions and solve the associated variational equation. Lastly, we provide a corollary and nontrivial example.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research