Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients

Journal of Differential Equations

Volumn 132, Issue 2, 1996, Pages 319-337

  Barbu, V ^a   Pavel, N H ^b  

^a ALEXANDRU IOAN CUZA UNIVERSITY OF IASI   (Romania)

^b OHIO UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030579554     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0182     Document Type: Article

References (9)

1. A. Bamberger, G. Chavent, and P. Lailly, About the stability of the inverse problem in the one-dimensional wave equations: Applications to the interpretation of seismic profiles, Appl. Math. Optim. 5 (1979), 1-47.
2. V. Barbu and N. H. Pavel, Optimal control problems with two point boundary conditions, J. Optim. Theory Appl. 77 (1993), 51-57.
3. V. Barbu and N. H. Pavel, An inverse problem for the one-dimensional wave equation, SIAM. J. Control Optim., in press.
4. V. Barbu and N. H. Pavel, Periodic optimal control in Hilbert space, Appl. Math. Optim. 33 (1996), 169-188.
5. V. Barbu and N. H. Pavel, Periodic solutions to nonlinear one-dimensional wave equation with x-dependent coefficients, Trans. Amer. Math. Soc., to appear.
6. H. Brezis, Periodic solutions of nonlinear vibrating strings and duality principles, Bull. Amer. Math. Soc. 8 (1983), 409-426.
7. G. Chavent and A. Bamberger, Sur le problème inverse en seismique, Ann. Sci. Math. Quebec 1 (1977), 153-174.
8. N. H. Pavel, Periodic solutions to nonlinear 2 - D wave equations, in "Theory and Applications of Nonlinear Operators to Accretive and Monotone Type," Lecture Notes in Pure and Appl. Math., Vol. 178, Dekker, New York, 1996.
9. P. Rabinowitz, Periodic solutions of nonlinear hyperbolic partial differential equations, Comm. Pure Appl. Math. 20 (1967), 145-205.