Eigenvalue Approach to Even Order System Periodic Boundary Value Problems
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 102-115
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We study an even order system boundary value problem with periodic boundary conditions. By establishing the existence of a positive eigenvalue of an associated linear system Sturm-Liouville problem, we obtain new conditions for the boundary value problem to have a positive solution. Our major tools are the Krein-Rutman theorem for linear spectra and the fixed point index theory for compact operators.
Mots-clés :
34B18, 34B24, Green's function, high order system boundary value problems, positive solutions, Sturm-Liouville problem.
Kong, Qingkai; Wang, Min. Eigenvalue Approach to Even Order System Periodic Boundary Value Problems. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 102-115. doi: 10.4153/CMB-2011-138-3
@article{10_4153_CMB_2011_138_3,
author = {Kong, Qingkai and Wang, Min},
title = {Eigenvalue {Approach} to {Even} {Order} {System} {Periodic} {Boundary} {Value} {Problems}},
journal = {Canadian mathematical bulletin},
pages = {102--115},
year = {2013},
volume = {56},
number = {1},
doi = {10.4153/CMB-2011-138-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-138-3/}
}
TY - JOUR AU - Kong, Qingkai AU - Wang, Min TI - Eigenvalue Approach to Even Order System Periodic Boundary Value Problems JO - Canadian mathematical bulletin PY - 2013 SP - 102 EP - 115 VL - 56 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-138-3/ DO - 10.4153/CMB-2011-138-3 ID - 10_4153_CMB_2011_138_3 ER -
%0 Journal Article %A Kong, Qingkai %A Wang, Min %T Eigenvalue Approach to Even Order System Periodic Boundary Value Problems %J Canadian mathematical bulletin %D 2013 %P 102-115 %V 56 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-138-3/ %R 10.4153/CMB-2011-138-3 %F 10_4153_CMB_2011_138_3
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