Nonlinear analysis. New arguments and results. II.

Lamberto Cesari

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1984)

  • Volume: 77, Issue: 1-2, page 13-20
  • ISSN: 1120-6330

Abstract

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We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.

How to cite

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Cesari, Lamberto. "Nonlinear analysis. New arguments and results. II.." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 77.1-2 (1984): 13-20. <http://eudml.org/doc/287430>.

@article{Cesari1984,
abstract = {We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.},
author = {Cesari, Lamberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {sufficient conditions for the existence of a solution to nonselfadjoint problems},
language = {eng},
month = {7},
number = {1-2},
pages = {13-20},
publisher = {Accademia Nazionale dei Lincei},
title = {Nonlinear analysis. New arguments and results. II.},
url = {http://eudml.org/doc/287430},
volume = {77},
year = {1984},
}

TY - JOUR
AU - Cesari, Lamberto
TI - Nonlinear analysis. New arguments and results. II.
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1984/7//
PB - Accademia Nazionale dei Lincei
VL - 77
IS - 1-2
SP - 13
EP - 20
AB - We continue here the discussion in part I, and we state and prove further sufficient conditions for the existence of a solution to nonselfadjoint problems.
LA - eng
KW - sufficient conditions for the existence of a solution to nonselfadjoint problems
UR - http://eudml.org/doc/287430
ER -

References

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  1. CESARI, L. - (a) Functional analysis and periodic solutions of nonlinear differential equations. «Contributions to Differential Equations» 1, Wiley1963, 149-187; Zbl0132.07101MR151678
  2. CESARI, L. - (b) Functional Analysis and Galerkin's method. «Mich. Math. J.», 11, 1964, 335-414; Zbl0192.23702MR173839
  3. CESARI, L. - (c) Nonlinear Analysis, «Lecture Notes», CIME, Bressanone 1972; Cremonese, Roma1973, pp. 1-90; Zbl0268.34001MR407672
  4. CESARI, L. - (d) Alternative method, finite elements, and analysis in the large. Proc. Uppsala Intern. Conference on Differential Equations, Uppsala1977, 11-25; Zbl0375.47035MR493557
  5. CESARI, L. - (e) Functional analysis, nonlinear differential equations, and the alternative method. «Nonlinear Functional Analysis, and Differential Equations». ( Cesari, Kannan, and Schuur, eds.) Dekker, New York, 1976, pp. 1-197; Zbl0343.47038MR487630
  6. CESARI, L. - (f) Nonlinear oscillations across a point of resonance for nonselfadjoint systems, «J. Diff. Equations», 28, 197843-59. Zbl0395.34034MR477909
  7. CESARI, L. and BOWMAN, T.T. - Existence of solutions to nonself adjoint boundary value problems for ordinary differential equations. «Nonlinear Analysis». To appear. Zbl0534.34026MR813654DOI10.1016/0362-546X(85)90031-8
  8. CESARI, L. and KANNAN, R. - (a) Functional analysis and nonlinear differential equations. «Bull. Amer. Math. Soc.», 79, 1973, 1216-1219; Zbl0278.47039MR333861
  9. CESARI, L. and KANNAN, R. - (b) An abstract existence theorem at resonance, «Proc. Amer. Math. Soc.», 63, 1977, 221-225; Zbl0361.47021MR448180
  10. CESARI, L. and KANNAN, R. - (c) Solutions of nonlinear hyperbolic equations at resonance, "Nonlinear Analysis" , 6, 1982, 751-805. Zbl0495.35007MR671720DOI10.1016/0362-546X(82)90063-3
  11. CESARI, L. and KANNAN, R. - (d) Periodic solutions of nonlinear wave equations, «Arch. Rat. Mech. Anal.», 82, 1983, 295-312. Zbl0521.35037MR695534DOI10.1007/BF00250554
  12. CESARI, L. and PUCCI, P. - (a) Global periodic solutions of the nonlinear wave equation. «Arch. Rat. Mech. Anal.», to appear; Zbl0579.35056MR786546DOI10.1007/BF00276871
  13. CESARI, L. and PUCCI, P. - (b) Existence theorems for nonself adjoint semilinear elliptic boundary value problems. «Nonlinear Analysis», to appear. Zbl0535.35026MR813655DOI10.1016/0362-546X(85)90032-X
  14. DAS, A.G. and LAHIRI, B.K. - Dirichlet series solutions of differential equations, «Rend. Circ. Mat. Palermo», 33, 1984, no. 3. Zbl0557.34006MR779945DOI10.1007/BF02844504
  15. HALE, J.K., Applications of Alternative Problems. «Lecture Notes, Brown Univ.», 1971. 
  16. HARRIS, W.A., SIBUYA, Y. and WEINBERG, L. - Holomorphic solutions of linear differential systems at singular points. «Arch. Rat. Mech. Anal.», 35, 1969, 245-248. Zbl0227.34003MR247163
  17. LANDESMAN, E.M. and LAZER, A.C. - Nonlinear perturbations of linear elliptic boundary value problems at resonance. «J. Math. Mech.», 19, 1970, 609-623. Zbl0193.39203MR267269
  18. LOCKER, J. - (a) An existence analysis for nonlinear equations in Hilbert spaces, «Trans. Amer. Math. Soc.», 128, 1967, 403-413; Zbl0156.15802MR215142
  19. LOCKER, J.(b) An existence analysis for nonlinear boundary value problems, «SIAM J. Appl. Math.», 19, 1970, 199-207. Zbl0203.14102MR265669
  20. SHAW, H. - A non linear elliptic boundary value problem at resonance. «J. Diff. Equations», 26, 1977, 335-346. Zbl0341.35039
  21. WILLIAMS, S. - (a) A connection between the Cesari and Leray-Schauder methods, «Mich. Math. J.», 15, 1968, 441-448; Zbl0174.45601MR236791
  22. WILLIAMS, S. - (b) A sharp sufficient condition for solutions of a non linear elliptic boundary value problem. «J. Diff. Equations», 8, 1970, 580-586. Zbl0209.13003MR267267

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