Geodesic
Nonlinear analysis. New arguments and results. II.
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 77 (1984) no. 1-2, pp. 13-20

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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. 
Cesari, Lamberto. Nonlinear analysis. New arguments and results. II.. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 77 (1984) no. 1-2, pp. 13-20. http://geodesic.mathdoc.fr/item/RLINA_1984_8_77_1-2_a1/
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[1] L. Cesari - (a) Functional analysis and periodic solutions of nonlinear differential equations. «Contributions to Differential Equations» 1, Wiley 1963, 149-187; | MR | Zbl

L. Cesari - (b) Functional Analysis and Galerkin's method. «Mich. Math. J.», 11, 1964, 335-414; | fulltext mini-dml | MR | Zbl

L. Cesari - (c) Nonlinear Analysis, «Lecture Notes», CIME, Bressanone 1972; Cremonese, Roma 1973, pp. 1-90; | MR | Zbl

L. Cesari - (d) Alternative method, finite elements, and analysis in the large. Proc. Uppsala Intern. Conference on Differential Equations, Uppsala 1977, 11-25; | MR | Zbl

L. Cesari - (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; | MR | Zbl

L. Cesari - (f) Nonlinear oscillations across a point of resonance for nonselfadjoint systems, «J. Diff. Equations», 28, 1978 43-59. | MR | Zbl

[2] L. Cesari and T.T. Bowman - Existence of solutions to nonself adjoint boundary value problems for ordinary differential equations. «Nonlinear Analysis». To appear. | DOI | MR | Zbl

[3] L. Cesari and R. Kannan - (a) Functional analysis and nonlinear differential equations. «Bull. Amer. Math. Soc.», 79, 1973, 1216-1219; | fulltext mini-dml | MR | Zbl

L. Cesari and R. Kannan - (b) An abstract existence theorem at resonance, «Proc. Amer. Math. Soc.», 63, 1977, 221-225; | MR | Zbl

L. Cesari and R. Kannan - (c) Solutions of nonlinear hyperbolic equations at resonance, "Nonlinear Analysis" , 6, 1982, 751-805. | DOI | MR | Zbl

L. Cesari and R. Kannan - (d) Periodic solutions of nonlinear wave equations, «Arch. Rat. Mech. Anal.», 82, 1983, 295-312. | DOI | MR | Zbl

[4] L. Cesari and P. Pucci - (a) Global periodic solutions of the nonlinear wave equation. «Arch. Rat. Mech. Anal.», to appear; | DOI | MR | Zbl

L. Cesari and P. Pucci - (b) Existence theorems for nonself adjoint semilinear elliptic boundary value problems. «Nonlinear Analysis», to appear. | DOI | MR | Zbl

[5] A.G. Das and B.K. Lahiri - Dirichlet series solutions of differential equations, «Rend. Circ. Mat. Palermo», 33, 1984, no. 3. | DOI | MR | Zbl

[6] J.K. Hale, Applications of Alternative Problems. «Lecture Notes, Brown Univ.», 1971.

[7] W.A. Harris, Y. Sibuya and L. Weinberg - Holomorphic solutions of linear differential systems at singular points. «Arch. Rat. Mech. Anal.», 35, 1969, 245-248. | MR | Zbl

[8] E.M. Landesman and A.C. Lazer - Nonlinear perturbations of linear elliptic boundary value problems at resonance. «J. Math. Mech.», 19, 1970, 609-623. | MR | Zbl

[9] J. Locker - (a) An existence analysis for nonlinear equations in Hilbert spaces, «Trans. Amer. Math. Soc.», 128, 1967, 403-413; | MR | Zbl

J. Locker - (b) An existence analysis for nonlinear boundary value problems, «SIAM J. Appl. Math.», 19, 1970, 199-207. | MR | Zbl

[10] H. Shaw - A non linear elliptic boundary value problem at resonance. «J. Diff. Equations», 26, 1977, 335-346. | Zbl

[11] S. Williams - (a) A connection between the Cesari and Leray-Schauder methods, «Mich. Math. J.», 15, 1968, 441-448; | fulltext mini-dml | MR | Zbl

S. Williams - (b) A sharp sufficient condition for solutions of a non linear elliptic boundary value problem. «J. Diff. Equations», 8, 1970, 580-586. | MR | Zbl