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Existence theorems across a point of resonance
Author:
Lamberto Cesari
Journal:
Bull. Amer. Math. Soc. 82 (1976), 903-906
MSC (1970):
Primary 47H15, 34B15, 34C15, 35G30, 35J40
MathSciNet review:
0425693
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Lamberto
Cesari, Functional analysis and periodic solutions of nonlinear
differential equations, Contributions to Differential Equations
1 (1963), 149–187. MR 0151678
(27 #1662)
- 2.
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
(55 #3889)
- 3.
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
(57 #7279)
- 4.
Lamberto
Cesari, Nonlinear oscillations across a point of resonance for
nonselfadjoint systems, J. Differential Equations 28
(1978), no. 1, 43–59. MR 0477909
(57 #17409)
- 5.
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
(80a:47095)
- 6.
L.
Cesari and R.
Kannan, An abstract existence theorem at
resonance, Proc. Amer. Math. Soc.
63 (1977), no. 2,
221–225. MR 0448180
(56 #6489), http://dx.doi.org/10.1090/S0002-9939-1977-0448180-3
- 7.
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),
Springer, Berlin, 1975, pp. 144–165. Lecture Notes in Math.,
Vol. 446. MR
0437924 (55 #10845)
- 8.
R. Kannan and P. J. McKenna, An existence theorem by alternative methods for semilinear abstract equations, Boll. Un. Mat. Ital. (to appear).
- 9.
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
(42 #2171)
- 10.
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
0249731 (40 #2972)
- 11.
Jindřich
Nečas, The range of nonlinear operators with linear
asymptotes which are not invertible, Comment. Math. Univ. Carolinae
14 (1973), 63–72. MR 0318995
(47 #7541)
- 12.
H. C. Shaw, Nonlinear elliptic boundary value problems at resonance, J. Differential Equations (to appear).
- 13.
S.
A. Williams, A sharp sufficient condition for solution of a
nonlinear elliptic boundary value problem, J. Differential Equations
8 (1970), 580–586. MR 0267267
(42 #2169)
- 1.
- L. Cesari, Functional analysis and periodic solutions of nonlinear differential equations, Contributions to Differential Equations 1 (1963), 149-187. MR 27 #1662. MR 151678
- 2.
- L. Cesari, Alternative methods in nonlinear analysis, Proc. Internat. Conf. Differential Equations (Univ. of Southern California, Los Angeles, 1974), Academic Press, New York, 1975, pp. 95-148. MR 430884
- 3.
- L. Cesari, An abstract existence theorem across a point of resonance, Proc. Internat. Sympos. Dynamical Systems (Univ. of Florida, Gainesville, March 1976), Academic Press, New York (to appear). MR 467420
- 4.
- L. Cesari, Nonlinear oscillations across a point of resonance for nonselfadjoint systems, J. Differential Equations (to appear). MR 477909
- 5.
- L. Cesari, Nonlinear problems across a point of resonance for nonselfadjoint systems, Nonlinear Analysis, Academic Press (to appear). MR 499091
- 6.
- L. Cesari and R. Kannan, An abstract existence theorem at resonance, Proc. Amer. Math. Soc. (to appear). MR 448180
- 7.
- D. G. de Figueiredo, The Dirichlet problem for nonlinear elliptic equations, a Hilbert space approach, Lectures Notes in Math., vol. 446, Springer-Verlag, Berlin and New York, 1975, pp. 1s44-165. MR 437924
- 8.
- R. Kannan and P. J. McKenna, An existence theorem by alternative methods for semilinear abstract equations, Boll. Un. Mat. Ital. (to appear).
- 9.
- E. M. Landesman and A. C. Lazer, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1969/70), 609-623. MR 42 #2171. MR 267269
- 10.
- 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 40 #2972. MR 249731
- 11.
- J. Nečas, The range of nonlinear operators with linear asymptotes which are not invertible, Comment. Math. Univ. Carolinae 14 (1973), 63-72. MR 47 #7541. MR 318995
- 12.
- H. C. Shaw, Nonlinear elliptic boundary value problems at resonance, J. Differential Equations (to appear).
- 13.
- S. A. Williams, A sharp sufficient condition for solution of a nonlinear elliptic boundary value problem, J Differential Equations 8 (1970), 580-586. MR 42 #2169. MR 267267
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1976-14205-X
PII:
S 0002-9904(1976)14205-X
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