Neumann boundary value problems across resonance
Ginés López; Juan-Aurelio Montero-Sánchez
ESAIM: Control, Optimisation and Calculus of Variations (2006)
- Volume: 12, Issue: 3, page 398-408
- ISSN: 1292-8119
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topLópez, Ginés, and Montero-Sánchez, Juan-Aurelio. "Neumann boundary value problems across resonance." ESAIM: Control, Optimisation and Calculus of Variations 12.3 (2006): 398-408. <http://eudml.org/doc/249678>.
@article{López2006,
abstract = {
We obtain an existence-uniqueness result for
a second order Neumann boundary value problem including cases
where the nonlinearity possibly crosses several points of
resonance. Optimal and Schauder fixed points methods are used to
prove this kind of results.
},
author = {López, Ginés, Montero-Sánchez, Juan-Aurelio},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Second order Newmann boundary condition; resonance; Pontryagin's maximum principle.; Second order Neumann boundary condition; Pontryagin's maximum principle},
language = {eng},
month = {6},
number = {3},
pages = {398-408},
publisher = {EDP Sciences},
title = {Neumann boundary value problems across resonance},
url = {http://eudml.org/doc/249678},
volume = {12},
year = {2006},
}
TY - JOUR
AU - López, Ginés
AU - Montero-Sánchez, Juan-Aurelio
TI - Neumann boundary value problems across resonance
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2006/6//
PB - EDP Sciences
VL - 12
IS - 3
SP - 398
EP - 408
AB -
We obtain an existence-uniqueness result for
a second order Neumann boundary value problem including cases
where the nonlinearity possibly crosses several points of
resonance. Optimal and Schauder fixed points methods are used to
prove this kind of results.
LA - eng
KW - Second order Newmann boundary condition; resonance; Pontryagin's maximum principle.; Second order Neumann boundary condition; Pontryagin's maximum principle
UR - http://eudml.org/doc/249678
ER -
References
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- Y. Li and H. Wang, Neumann boundary value problems for second order ordinary differential equations across resonance. SIAM J. Control Optim.33 (1995) 1312–11325.
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- E.R. Pinch, Optimal Control and the Calculus of Variations. Oxford University Press, New York (1993).
- W. Walter, Ordinary differential equations. Springer-Verlag, New York, Graduate Texts in Math.182 (1998).
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