Sunto
In guesta nota si esaminano la completa continuità e il rango dell'operatore integrale associate al sistema x − A(t)x=f(t, x Tx=r al variare del tipo di stabilità della parte lineare.
Article PDF
References
C. Avramescu:Sur l'existence des solutions convergentes des systèmes d'equations différentielles non linéares, Ann. di Mat. pura e appl.,4 (1969), pp. 147–168.
R. Bellman,Stability theory of differential equations, Mc Graw-Hill, New York (1953).
M.Cecchi - M.Marini - P. L.Zezza,Linear boundary value problems for systems of ordinary differential equations on non-compact intervals, to appear on Ann. di Mat. pura e appl.
M.Cecchi - M.Marini - P. L.Zezza,Un metodo astratto per problemi ai limiti non lineari su intervalli non compatti, Equadiff 78, Firenze (1978), eds. R. Conti-G. Sestini-G. Villari.
R. Conti,Linear differential equations and control, Institutiones Mathematicae, Vol. I, Academic Press, London (1976).
W. A.Coppel,Stability and asymptotic behaviour of differential equations, Heat Math. Monogr., Boston (1965).
C. Corduneanu,Integral equations and stability of feedback systems, Math. Science and Engin., Acad. Press, New York (1973).
Ph. Hartmann,Ordinary differential equations, Wiley, New York (1964).
A. G. Kartsatos -G. J. Michaelides,Existence of convergent solutions to quasi-linear systems and asymptotic equivalence, J.D.E.,13 (1973), pp. 481–489.
J. Mawhin,Equivalence theorems for non-linear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces, J.D.E.,12 (1972), pp. 610–636.
P. L. Zezza,An equivalence theorem for non linear 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 noncompact intervals. Annali di Matematica pura ed applicata 124, 367–379 (1980). https://doi.org/10.1007/BF01795401
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01795401