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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 Serie 8 77 (1984), fasc. n.1-2, p. 13-20, (English)
Seguito di RLINA_1984_8_76_6_339_0 | pdf (873 Kb), djvu (905 Kb). | MR 0884372 | Zbl 0609.47072

Sunto

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.
Referenze Bibliografiche
[1] L. CESARI - (a) Functional analysis and periodic solutions of nonlinear differential equations. «Contributions to Differential Equations» 1, Wiley 1963, 149-187; | MR 151678 | Zbl 0132.07101
L. CESARI - (b) Functional Analysis and Galerkin's method. «Mich. Math. J.», 11, 1964, 335-414; | fulltext mini-dml | MR 173839 | Zbl 0192.23702
L. CESARI - (c) Nonlinear Analysis, «Lecture Notes», CIME, Bressanone 1972; Cremonese, Roma 1973, pp. 1-90; | MR 407672 | Zbl 0268.34001
L. CESARI - (d) Alternative method, finite elements, and analysis in the large. Proc. Uppsala Intern. Conference on Differential Equations, Uppsala 1977, 11-25; | MR 493557 | Zbl 0375.47035
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 487630 | Zbl 0343.47038
L. CESARI - (f) Nonlinear oscillations across a point of resonance for nonselfadjoint systems, «J. Diff. Equations», 28, 1978 43-59. | MR 477909 | Zbl 0395.34034
[2] L. CESARI and T.T. BOWMAN - Existence of solutions to nonself adjoint boundary value problems for ordinary differential equations. «Nonlinear Analysis». To appear. | fulltext (doi) | MR 813654 | Zbl 0534.34026
[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 333861 | Zbl 0278.47039
L. CESARI and R. KANNAN - (b) An abstract existence theorem at resonance, «Proc. Amer. Math. Soc.», 63, 1977, 221-225; | MR 448180 | Zbl 0361.47021
L. CESARI and R. KANNAN - (c) Solutions of nonlinear hyperbolic equations at resonance, "Nonlinear Analysis" , 6, 1982, 751-805. | fulltext (doi) | MR 671720 | Zbl 0495.35007
L. CESARI and R. KANNAN - (d) Periodic solutions of nonlinear wave equations, «Arch. Rat. Mech. Anal.», 82, 1983, 295-312. | fulltext (doi) | MR 695534 | Zbl 0521.35037
[4] L. CESARI and P. PUCCI - (a) Global periodic solutions of the nonlinear wave equation. «Arch. Rat. Mech. Anal.», to appear; | fulltext (doi) | MR 786546 | Zbl 0579.35056
L. CESARI and P. PUCCI - (b) Existence theorems for nonself adjoint semilinear elliptic boundary value problems. «Nonlinear Analysis», to appear. | fulltext (doi) | MR 813655 | Zbl 0535.35026
[5] A.G. DAS and B.K. LAHIRI - Dirichlet series solutions of differential equations, «Rend. Circ. Mat. Palermo», 33, 1984, no. 3. | fulltext (doi) | MR 779945 | Zbl 0557.34006
[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 247163 | Zbl 0227.34003
[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 267269 | Zbl 0193.39203
[9] J. LOCKER - (a) An existence analysis for nonlinear equations in Hilbert spaces, «Trans. Amer. Math. Soc.», 128, 1967, 403-413; | MR 215142 | Zbl 0156.15802
J. LOCKER - (b) An existence analysis for nonlinear boundary value problems, «SIAM J. Appl. Math.», 19, 1970, 199-207. | MR 265669 | Zbl 0203.14102
[10] H. SHAW - A non linear elliptic boundary value problem at resonance. «J. Diff. Equations», 26, 1977, 335-346. | Zbl 0341.35039
[11] S. WILLIAMS - (a) A connection between the Cesari and Leray-Schauder methods, «Mich. Math. J.», 15, 1968, 441-448; | fulltext mini-dml | MR 236791 | Zbl 0174.45601
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 267267 | Zbl 0209.13003

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