Results on linear and nonlinear hyperbolic boundary value problems at resonance

Michael W. Smiley

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1980)

  • Volume: 69, Issue: 6, page 327-332
  • ISSN: 0392-7881

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Smiley, Michael W.. "Results on linear and nonlinear hyperbolic boundary value problems at resonance." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 69.6 (1980): 327-332. <http://eudml.org/doc/288862>.

@article{Smiley1980,
author = {Smiley, Michael W.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {327-332},
publisher = {Accademia Nazionale dei Lincei},
title = {Results on linear and nonlinear hyperbolic boundary value problems at resonance},
url = {http://eudml.org/doc/288862},
volume = {69},
year = {1980},
}

TY - JOUR
AU - Smiley, Michael W.
TI - Results on linear and nonlinear hyperbolic boundary value problems at resonance
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1980/12//
PB - Accademia Nazionale dei Lincei
VL - 69
IS - 6
SP - 327
EP - 332
LA - eng
UR - http://eudml.org/doc/288862
ER -

References

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  1. Cesari, L. (1976) - Functional analysis, nonlinear differential equations, and the alternative method, in «Functional Analysis and Nonlinear Differential Equations» (L. Cesari, R. Kannan, J.D. Schuur, editors), Dekker, New York, pp. 1-197. MR477808
  2. Dunford, N. and Schwartz, J. (1963) - Linear Operators, Vol. I, Interscience Publishers, New York. Zbl0128.34803MR188745
  3. Hale, J. (1969) - Ordinary Differential Equations, «Wiley-Interscience», New York. MR419901
  4. Hale, J. (1967) - Periodic solutions of a class of hyperbolic equations containing a small parameter, «Archive Rational Mech. Anal.», 23, 380-398. Zbl0152.10002MR206503DOI10.1007/BF00276781
  5. Hall, W.S. (1970) - On the existence of periodic solutions for the equation D u ⁢ u + ( - 1 ) p ⁢ D x 2 ⁢ p ⁢ u = ϵ ⁢ f ⁢ ( ⋅ , ⋅ , u ) , «J. Differential Equations», 7, 509-626. MR265738DOI10.1016/0022-0396(70)90098-7
  6. Hall, W.S. (1970) - Periodic solutions of a class of weakly nonlinear evolution equations, «Archive Rational Mech. Anal.», 39, 294-322. Zbl0211.12704MR274914DOI10.1007/BF00281367
  7. Lions, J.L. (1961) - Equations Differentialles Opérationnelles et Problems Aux Limites, Springer-Verlag, Berlin. MR153974
  8. Lions, J.L. and Magenes, E. (1972) - Non-Homogeneous Boundary Value Problems and Applications, Vol. I, Springer-Verlag, New York. MR350178
  9. Rabinowitz, P. (1967) - Periodic solutions of nonlinear hyperbolic partial differential equations, «Comm. Pure, Appl. Math.», 20, 145-205. MR206507DOI10.1002/cpa.3160200105
  10. Rabinowitz, P. (1968) - Periodic solutions of nonlinear hyperbolic partial differential equations. II, «Comm. Pure Appl. Math.», 22, 15-39. MR236504DOI10.1002/cpa.3160220103
  11. Schwartz, L. (1957) - Théorie des distributions à valeurs vectorielles, I, «Annales de L'Institute Fourier», 7, 1-141. MR107812
  12. Vejvoda, O. (1964) - Periodic solutions of a linear and weakly nonlinear wave equation in one dimension. I, «Czech. Math. J.», 14, 341-382. Zbl0178.45302MR174872

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