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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Existence theorems across a point of resonance
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Bull. Amer. Math. Soc. 82 (1976), 903-906
References
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  • Lamberto Cesari, Alternative methods in nonlinear analysis, International Conference on Differential Equations (Proc., Univ. Southern California, Los Angeles, Calif., 1974) Academic Press, New York, 1975, pp. 95–148. MR 0430884
  • Lamberto Cesari, An abstract existence theorem across a point of resonance, Dynamical systems (Proc. Internat. Sympos., Univ. Florida, Gainesville, Fla., 1976) Academic Press, New York, 1977, pp. 11–26. MR 0467420
  • Lamberto Cesari, Nonlinear oscillations across a point of resonance for nonselfadjoint systems, J. Differential Equations 28 (1978), no. 1, 43–59. MR 477909, DOI 10.1016/0022-0396(78)90079-7
  • Lamberto Cesari, Nonlinear problems across a point of resonance for nonselfadjoint systems, Nonlinear analysis (collection of papers in honor of Erich H. Rothe), Academic Press, New York, 1978, pp. 43–67. MR 499091
  • L. Cesari and R. Kannan, An abstract existence theorem at resonance, Proc. Amer. Math. Soc. 63 (1977), no. 2, 221–225. MR 448180, DOI 10.1090/S0002-9939-1977-0448180-3
  • Djairo Guedes de Figueiredo, The Dirichlet problem for nonlinear elliptic equations: a Hilbert space approach, Partial differential equations and related topics (Program, Tulane Univ., New Orlenas, La., 1974) Lecture Notes in Math., Vol. 446, Springer, Berlin, 1975, pp. 144–165. MR 0437924
    • 8. R. Kannan and P. J. McKenna, An existence theorem by alternative methods for semilinear abstract equations, Boll. Un. Mat. Ital. (to appear).
  • E. M. Landesman and A. C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1969/1970), 609–623. MR 0267269
  • A. C. Lazer and D. E. Leach, Bounded perturbations of forced harmonic oscillators at resonance, Ann. Mat. Pura Appl. (4) 82 (1969), 49–68. MR 249731, DOI 10.1007/BF02410787
  • Jindřich Nečas, The range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14 (1973), 63–72. MR 318995
    • 12. H. C. Shaw, Nonlinear elliptic boundary value problems at resonance, J. Differential Equations (to appear).
  • S. A. Williams, A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem, J. Differential Equations 8 (1970), 580–586. MR 267267, DOI 10.1016/0022-0396(70)90031-8
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 82 (1976), 903-906
  • MSC (1970): Primary 47H15, 34B15, 34C15, 35G30, 35J40
  • DOI: https://doi.org/10.1090/S0002-9904-1976-14205-X
  • MathSciNet review: 0425693