Abstract
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 , , satisfying , , where and with respect to each of the boundary data , , , , solve the associated variational equation with interesting boundary conditions. Of note is the second boundary condition, which is an average value condition.
Citation
Jeffrey Lyons. Samantha Major. Kaitlyn Seabrook. "Continuous dependence and differentiating solutions of a second order boundary value problem with average value condition." Involve 11 (1) 95 - 102, 2018. https://doi.org/10.2140/involve.2018.11.95
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