Multiplicity Result for Semilinear Dissipative Hyperbolic Equations

Journal of Mathematical Analysis and Applications

Volumn 231, Issue 1, 1999, Pages 34-46

  Kim, Wan Se ^a  

^a Hanyang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038489731     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6207     Document Type: Article

References (12)

1. Ambrosetti A., Prodi G. On the inversion of some differentiable mappings with singularities between Banach space. Ann. Mat. Pura Appl. 93:1972;231-247.
2. Brezis H., Nirenberg L. Characterization of range of some nonlinear operators and applications to boundary value problems. Ann Scu. Norm. Sup. Pisa Cl. Sci. 4:1978;225-323.
3. Chiappinelli R., Mawhin J., Nugari R. Generalized Ambrosetti-Prodi conditions for nonlinear two-point boundary value problems. J. Differential Equation. 69:1987;422-434.
4. Ding S. H., Mawhin J. A multiplicity result for periodic solutions of higher order ordinary differential equations. Differential Integral Equations. 1:1988;31-40.
5. Fabry C., Mawhin J., Nkashama M. A multiplicity result for periodic solutions of forced nonlinear second order ordinary differential equations. Bull. London Math. Soc. 18:1986;173-180.
6. Hirano N., Kim W. S. Multiplicity and stability result for semilinear parabolic equations. Discrete Continuous Dynamical Syst. 2:1996;271-280.
7. Hirano N., Kim W. S. Existence of stable and unstable solutions for semilinear parabolic problems with a jumping nonlinearity. Nonlinear Anal. 26:1996;1143-1160.
8. Hirano N., Kim W. S. Multiple existence of periodic solutions for Lienard system. Differential Integral Equations. 8:1985;1805-1811.
9. Kim W. S. Existence of periodic solution for nonlinear Lienard systems. Internat. J. Math. 18:1995;265-272.
10. Kim W. S. Multiplicity results for doubly periodic solutions of nonlinear dissipative hyperbolic equations. J. Math. Anal. Appl. 197:1996;735-748.
11. Lazer A. C., Mckenna P. J. Multiplicity results for a class of semi-linear elliptic and parabolic boundary value problems. J. Math. Anal. 107:1985;371-395.
12. M. N. Nkashama, M. Willem, Time Periodic Solutions of Boundary Value Problems for Nonlinear Heat, Telegraph and Beam Equations, Seminaire de mathematique, Université Catholique de Louvain, 54, 1984.