Free Access
Volume 4, 1999
Page(s) 57 - 81
Published online 15 August 2002
  1. F. Ali Mehmeti, A characterisation of generalized C notion on nets. Int. Eq. and Operator Theory 9 (1986) 753-766. [CrossRef]
  2. F. Ali Mehmeti, Regular solutions of transmission and interaction problems for wave equations. Math. Meth. Appl. Sci. 11 (1989) 665-685. [CrossRef]
  3. J.M. Ball and M. Slemrod, Nonharmonic Fourier series and the stabilization of distributed semi-linear control systems. Comm. Pure Appl. Math. 32 (1979) 555-587. [CrossRef] [MathSciNet]
  4. J. von Below, A characteristic equation associated to an eigenvalue problem on c2-networks. Linear Alg. Appl. 71 (1985) 309-325. [CrossRef]
  5. J. von Below, Classical solvability of linear parabolic equations on networks. J. Diff. Eq. 72 (1988) 316-337. [CrossRef]
  6. J. von Below, Sturm-Liouville eigenvalue problems on networks. Math. Meth. Appl. Sci. 10 (1988) 383-395. [CrossRef]
  7. J. von Below, Parabolic Network Equations. Habilitation Thesis, Eberhard-Karls-Universität Tübingen (1993).
  8. J. von Below and S. Nicaise, Dynamical interface transition with diffusion in ramified media. Comm. Partial Diff. Eq. 21 (1996) 255-279. [CrossRef]
  9. A. Borovskikh, R. Mustafokulov, K. Lazarev and Yu. Pokornyi, A class of fourth-order differential equations on a spatial net. Doklady Math. 52 (1995) 433-435.
  10. G. Chen, M. Delfour, A. Krall and G. Payre, Modelling, stabilization and control of serially connected beams. SIAM J. Control and Opt. 25 (1987) 526-546. [CrossRef] [MathSciNet]
  11. G. Chen, S. Krantz, D. Russell, C. Wayne, H. West and M. Coleman, Analysis, design, and behavior of dissipative joints for coupled beams. SIAM J. Appl. Math. 49 (1989) 1665-1693. [CrossRef] [MathSciNet]
  12. G. Chen and J. Zhou, The wave propagation method for the analysis of boudary stabilization in vibrating structures. SIAM J. Appl. Math. 50 (1990) 1254-1283. [CrossRef] [MathSciNet]
  13. P.G. Ciarlet, H. Le Dret and R. Nzengwa, Junctions between three-dimension and two-dimensional linearly elastic structures. J. Math. Pures Appl. 68 (1989) 261-295. [MathSciNet]
  14. F. Conrad, Stabilization of vibrating beams by a specific feedback, A.V. Balakrishnan and J.P. Zolésio Eds., Stabilization of flexible structures, Opt. Software Inc. (1988) 36-51.
  15. B. Dekoninck and S. Nicaise, The eigenvalue problem for networks of beams. Preprint LIMAV 96-9, University of Valenciennes, Linear Alg. Appl. (submitted).
  16. P. Grisvard, Elliptic problems in nonsmooth domains. Monographs and Studies in Mathematics 21 (Pitman, Boston, 1985).
  17. P. Grisvard, Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. J. Math. Pures Appl. 68 (1989) 215-259. [MathSciNet]
  18. A.E. Ingham, Some trigonometrical inequalities with applications in the theory of series. Math. Z. 41 (1936) 367-369. [CrossRef] [MathSciNet]
  19. V. Komornik, Exact controllability and stabilization. The multiplier method. RMA 36 Masson, Paris (1994).
  20. J.E. Lagnese, Modeling and controllability of plate-beam systems. J. Math. Systems, Estimation and Control. 5 (1995) 141-187.
  21. J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Modeling of dynamic networks of thin thermoelastic beams. Math. Meth. Appl. Sci. 16 (1993) 327-358. [CrossRef]
  22. J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Control of planar networks of Timoshenko beams. SIAM J. Cont. Opt. 31 (1993) 780-811. [CrossRef]
  23. J.E. Lagnese, G. Leugering and E.J.P.G. Schmidt, Modeling, analysis and control of dynamic elastic multi-link structures, Birkhäuser, Boston (1994).
  24. H. Le Dret, Problèmes variationnels dans les multi-domaines. Modélisation des jonctions et applications. RMA 19, Masson, Paris (1991).
  25. G. Leugering and E.J.P.G. Schmidt, On the control of networks of vibrating strings and beams, in Proc. of the 28th IEEE Conference on Decision and Control, Vol. 3, IEEE (1989) 2287-2290.
  26. J.-L. Lions, Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués. Tome 1, RMA 8, Masson, Paris (1988).
  27. S. Nicaise, Exact controllability of a pluridimensional coupled problem. Rev. Math. Univ. Complutense Madrid 5 (1992) 91-135.
  28. S. Nicaise, About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation II: Exact controllability. Ann. Scuola Normale Sup. Pisa, Series IV 20 (1993) 163-191.
  29. S. Nicaise, Boundary exact controllability of interface problems with singularities I: Addition of the coefficients of singularities. SIAM J. Contr. Opt. 34 (1996) 1512-1533. [CrossRef]
  30. S. Nicaise, Boundary exact controllability of interface problems with singularities II: Addition of internal controls. SIAM J. Contr. Opt. 35 (1997) 585-603. [CrossRef]
  31. J.P. Puel and E. Zuazua, Exact controllability for a model of multidimensional flexible structure. Proc. Royal Soc. Edinburgh 123 A (1993) 323-344.
  32. E.J.P.G. Schmidt, On the modelling and exact controllability of networks of vibrating strings. SIAM J. Contr. Opt. 30 (1992) 229-245. [CrossRef]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.