Nonlinear analysis. New arguments and results. II.

Lamberto Cesari

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

  • Volume: 77, Issue: 1-2, page 13-20
  • ISSN: 0392-7881

Abstract

top
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

top

Cesari, Lamberto. "Nonlinear analysis. New arguments and results. II.." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 77.1-2 (1984): 13-20. <http://eudml.org/doc/289216>.

@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},
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/289216},
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
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
UR - http://eudml.org/doc/289216
ER -

References

top
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.