Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides
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DOI: 10.1007/s10957-014-0539-1
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References listed on IDEAS
- NESTEROV, Yu., 2005. "Lexicographic differentiation of nonsmooth functions," LIDAM Reprints CORE 1817, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Joseph Scott & Paul Barton, 2013. "Improved relaxations for the parametric solutions of ODEs using differential inequalities," Journal of Global Optimization, Springer, vol. 57(1), pages 143-176, September.
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Cited by:
- George Baravdish & Gabriel Eilertsen & Rym Jaroudi & B. Tomas Johansson & Lukáš Malý & Jonas Unger, 2024. "A Hybrid Sobolev Gradient Method for Learning NODEs," SN Operations Research Forum, Springer, vol. 5(4), pages 1-39, December.
- Peter G. Stechlinski & Paul I. Barton, 2016. "Generalized Derivatives of Differential–Algebraic Equations," Journal of Optimization Theory and Applications, Springer, vol. 171(1), pages 1-26, October.
- Peter Stechlinski, 2020. "Optimization-Constrained Differential Equations with Active Set Changes," Journal of Optimization Theory and Applications, Springer, vol. 187(1), pages 266-293, October.
- Jose Alberto Gomez & Kai Höffner & Kamil A. Khan & Paul I. Barton, 2018. "Generalized Derivatives of Lexicographic Linear Programs," Journal of Optimization Theory and Applications, Springer, vol. 178(2), pages 477-501, August.
- Ackley, Matthew & Stechlinski, Peter, 2021. "Lexicographic derivatives of nonsmooth glucose-insulin kinetics under normal and artificial pancreatic responses," Applied Mathematics and Computation, Elsevier, vol. 395(C).
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Keywords
Generalized Jacobians; Sensitivity analysis; Nonsmooth analysis; Ordinary differential equations;All these keywords.
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