Existence of Solutions Across Resonance in the Large for Semilinear Problems

P.J. McKenna

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1978)

  • Volume: 65, Issue: 6, page 247-251
  • ISSN: 0392-7881

How to cite

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McKenna, P.J.. "Existence of Solutions Across Resonance in the Large for Semilinear Problems." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 65.6 (1978): 247-251. <http://eudml.org/doc/290130>.

@article{McKenna1978,
author = {McKenna, P.J.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {12},
number = {6},
pages = {247-251},
publisher = {Accademia Nazionale dei Lincei},
title = {Existence of Solutions Across Resonance in the Large for Semilinear Problems},
url = {http://eudml.org/doc/290130},
volume = {65},
year = {1978},
}

TY - JOUR
AU - McKenna, P.J.
TI - Existence of Solutions Across Resonance in the Large for Semilinear Problems
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1978/12//
PB - Accademia Nazionale dei Lincei
VL - 65
IS - 6
SP - 247
EP - 251
LA - eng
UR - http://eudml.org/doc/290130
ER -

References

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  1. CESARI, L. - (a) Teoremi di esistenza al passaggio attraverso valori critici, «Rend. Accad. Naz. Lincei». To appear, (b) An abstract existence theorem across a point of resonance, Intern. Symposium on Dynamical Systems, Gainesville, Fla., 1976. To appear, (c) Nonlinear oscillations cross a point of resonance for nonselfadjoint systems, «Journ. Diff. Equations». To appear. MR467420
  2. CESARI, L. - Nonlinear Analysis. A Volume in Honor of E. H. Rothe, Academic Press (to appear). MR499103
  3. CESARI, L. (1976) - Functional Analysis and Nonlinear Differential Equations, in a volume of the same title ( Cesari, Karman, Schuur, eds.), Dekkar. MR487630
  4. LANDESMAN, E.M. and LAZER, A. C. (1970) - Nonlinear perturbations of elliptic boundary value problems at resonance, «J. Math. Mech.» (19), 609-623. Zbl0193.39203MR267269
  5. LAZER, A. C. and LEACH, D. E. (1969) - Bounded perturbations of forced nonlinear oscillations at resonance, «Ann. di Mat. pura applic.», 72, 49-68. Zbl0194.12003MR249731DOI10.1007/BF02410787
  6. MCKENNA, P. J. (1976) - Nonselfadjoint Semilinear Equations in the Alternative Method, Ph. D. thesis, University of Michigan. 
  7. MCKENNA, P. J. - Discontinuous Perturbations of Elliptic Boundary Value Problems at Resonance (to appear). MR502553
  8. SHAW, H. - A nonlinear elliptic boundary value problem at resonance, «Trans. Amer. Math. Soc.» (to appear). MR463687DOI10.1016/0022-0396(77)90084-5
  9. SHAW, H. - Nonlinear Elliptic Boundary Value Problems at Resonance, Ph. D. Thesis, University of Michigan. Zbl0341.35039
  10. WILLIAMS, S. (1970) - A sharp sufficient condition for solutions of a nonlinear elliptic boundary value problem, «J. Diff. Equations», 8, 580-586. Zbl0209.13003MR267267DOI10.1016/0022-0396(70)90031-8

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