Title of Project

Continuous Dependence and Differentiating Solutions of a Second Order Boundary Value Problem with an Average Value Condition

Researcher Information

Samantha Major
Kaitlyn Seabrook

Project Type

Event

Start Date

7-4-2017 12:00 AM

End Date

7-4-2017 12:00 AM

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Apr 7th, 12:00 AM Apr 7th, 12:00 AM

Continuous Dependence and Differentiating Solutions of a Second Order Boundary Value Problem with an Average Value Condition

Using a few conditions, continuous dependence, and a result regarding smoothness of initial conditions, we show that derivatives of solutions to the second order boundary value problem y’’

=f(x,y,y’),a

each of the boundary data π‘₯1, 𝑦1, 𝑦2, c, d solve the associated variational equation with interesting boundary conditions. Of note is the second boundary condition with an average value condition.