Summary
Si stabiliscono teoremi di esistenza per problemi ai limiti lineari su intervalli aperti a destra in caso di risonanza.
Article PDF
Similar content being viewed by others
References
C. Avramescu,Sur l'existence des solutions convergentes des systèmes d'équations différentielles non linéaires, Ann. Mat. Pura Appl.,81 (1969), pp. 147–168.
C. Avramescu,Sur un problème aux limites non-linéaire, Rend. Acc. Naz. Lincei, (8),44 (1968), pp. 179–182.
M.Cecchi - M.Marini - P. L.Zezza,Un metodo astratto per problemi ai limiti non lineari su intervalli non compatti, Equadiff 78, Firenze 24–30 maggio (R.Conti, G.Sestini, G.Villari eds.).
L. Cesari,Functional Analysis and differential equations, SIAM Studies in Applied Mathematics,5 (1969), pp. 143–155.
L. Cesari,Functional Analysis and boundary value problems, in Analitic theory of differential equations, Springer Verlag Lectures Notes183, Berlin (1971), pp. 178–194.
L. Cesari,Functional Analysis, nonlinear differential equations and the alternative method, Non linear Functional Analysis and differential equations (L. Cesari,R. Kannan,J. D. Schuur, eds), M. Dekker, New York (1976), pp. 1–197.
R. Conti,Recent trends in the theory of boundary value problems for ordinary differential equations, Boll. U.M.I.,22 (1967), pp. 135–178.
W. A. Coppel,Dichotomies in stability theory, Lectures Notes in Math.no. 629, Springer, Berlin, 1978.
W. A.Coppel,Stability and asymptotic behaviour of differential equations, Heath Math. Monographs, Boston, 1965.
C. Corduneanu,Problèmes aux limites non-linéaires sur un demi-axe, Buletinul Institutului Polithehnic, Iasi,11 (1965), pp. 29–34.
C. Corduneanu,Admissibility with respect to an integral operator and applications, SIAM Studies in Appl. Math.,5 (1969), pp. 55–63.
N. Dunford -J. T. Schwartz,Linear Operators, Interscience Publishers, New York, part I (1957), part II (1963).
R. E. Gaines -J. Mawhin,Coincidence degree and nonlinear differential equations, Lectures Notes in Math. no. 568, Springer, Berlin, 1977.
Ph. Hartman,Ordinary differential equations, John Wiley Sons, New York, 1964.
A. G. Kartsatos,The Leray-Schauder theorem and the existence of solutions to boundary value problems on infinite intervals, Indiana Un. Math. J.,23, 11 (1974), pp. 1021–1029.
A. G. Kartsatos,A stability property of the solutions to a boundary value problem on an infite interval, Math. Jap.,19 (1974), pp. 187–194.
A. G. Kartsatos,A boundary value problem on an infinite interval, Proc. Edin. Math. Soc., (2),19 (1974–75), pp. 245–252.
A. G. Kartsatos,The Hildebrandt-Graves Theorem and the existence of solutions of boundary value problems on infinite intervals, Math. Nachr.,67 (1975), pp. 91–100.
M. A.Krasnoselskii,The operator of translation along trajectories of ordinary differential equations, Amer. Math. Soc. Transl.,18 (1968).
J. L. Massera -J. J. Schäffer,Linear differential equations and function spaces, Academic Press, New York, 1966.
J. Mawhin,Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces, J. Diff. Eq.,12 (1972), pp. 610–636.
G. Sansone,Sulla soluzione di Emden dell'equazione di Fowler, Univ. Roma, Ist. Naz. Alta Mat. Rend. Mat. Appl. (5),1 (1940), pp. 163–176.
G. Sansone,Equazioni differenziali nel campo reale, Zanichelli, Bologna, 1948.
G. Villari,Sul comportamento asintotico degli integrali di una classe di equazioni differenziali non lineari, Riv. mat. Univ. Parma,5 (1954), pp. 83–98.
P. L. Zezza,An equivalence theorem for nonlinear operator equations and an extension of Leray-Schauder continuation theorem, Boll. U.M.I., (5),15-A (1978), pp. 545–551.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cecchi, M., Marini, M. & Zezza, P.L. Linear boundary value problems for systems of ordinary differential equations on non compact intervals. Annali di Matematica pura ed applicata 123, 267–285 (1980). https://doi.org/10.1007/BF01796548
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01796548