@article{RSMUP_1985__74__175_0, author = {Bresquar, Anna Maria}, title = {Sulla risoluzione asintotica dell{\textquoteright}equazione $y^{\prime }=A(t) y$, con $A(t)$ matrice $2 \times 2$, nel caso oscillante}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {175--204}, publisher = {Seminario Matematico of the University of Padua}, volume = {74}, year = {1985}, mrnumber = {818726}, zbl = {0579.34024}, language = {it}, url = {http://www.numdam.org/item/RSMUP_1985__74__175_0/} }
TY - JOUR AU - Bresquar, Anna Maria TI - Sulla risoluzione asintotica dell’equazione $y^{\prime }=A(t) y$, con $A(t)$ matrice $2 \times 2$, nel caso oscillante JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1985 SP - 175 EP - 204 VL - 74 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_1985__74__175_0/ LA - it ID - RSMUP_1985__74__175_0 ER -
%0 Journal Article %A Bresquar, Anna Maria %T Sulla risoluzione asintotica dell’equazione $y^{\prime }=A(t) y$, con $A(t)$ matrice $2 \times 2$, nel caso oscillante %J Rendiconti del Seminario Matematico della Università di Padova %D 1985 %P 175-204 %V 74 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_1985__74__175_0/ %G it %F RSMUP_1985__74__175_0
Bresquar, Anna Maria. Sulla risoluzione asintotica dell’equazione $y^{\prime }=A(t) y$, con $A(t)$ matrice $2 \times 2$, nel caso oscillante. Rendiconti del Seminario Matematico della Università di Padova, Volume 74 (1985), pp. 175-204. http://www.numdam.org/item/RSMUP_1985__74__175_0/
[1] L. KOTIN, Autonomous families of differential systems, J. Math. Anal. Appl., 55 (1976), no. 2, pp. 466-475. | MR | Zbl
-[2] Asymptotically equivalent linear differential systems, Differentsial'nye Uravneniya, 1 (1965), pp. 707-716. | MR | Zbl
,[3] Asymptotic equivalence and asymptotic behaviour of linear systems, Michigan Math. J., 9 (1962), pp. 33-43. | MR | Zbl
,[4] On asymptotic behavior of perturbed linear systems, J. Differential Equations, 6 (1969), pp. 142-153. | MR | Zbl
- ,[5] On the asymptotic relationships between solutions of two systems of ordinary differential equations, J. Differential Equations, 6 (1969), pp. 527-543. | MR | Zbl
- ,[6] Asymptotic behavior and stability problems in ordinary differential equations, Springer, Berlin, 1963. | Zbl
,[7] Sulla stabilità dei sistemi di equazioni differenziali lineari, Riv. Mat. Univ. Parma, 6 (1955), pp. 3-35. | MR | Zbl
,[8] Equazioni differenziali lineari asintoticamente equivalenti a x = 0, Riv. Mat. Univ. Parma, (4) 5 (1979), pp. 847-853.
,[9] Stability and asymptotic behavior of differential equations, Heath, Boston, 1965. | MR | Zbl
,[10] Linearization and asymptotic behavior, Math. Systems Theory, 9 (1975), no. 1, pp. 18-29. | MR | Zbl
,[11] Error estimation for perturbed systems, J. Reine Angew. Math., 288 (1976), pp. 202-206. | MR | Zbl
,[12] The asymptotic behavior of a system of linear differential equations, Amer. J. Math., 68 (1946), pp. 1-6. | MR | Zbl
,[13] Sufficient conditions for the stability of solutions of a linear differential system of second order, English translation Ukrainian Math. J., 32 (1980), pp. 268-273 (1981). | MR | Zbl
',[14] Asymptotically equivalent two dimensional linear differential systems, English translation Diff. Eq., 17 (1981), no. 2, pp. 149-153. | MR | Zbl
,[15] Construction of asymptotically equivalent differential systems with piecewise constant matrices, Dokl. Akad. Nauk BSSR, 25 (1981), no. 5, pp. 399-401. | MR | Zbl
,[16] Equazioni differenziali ordinarie in Rn, Liguori, Napoli, 1978.
- - ,[17] Propriétés asymptotiques des solutions d'un système de deux équations différentielles linéaires homogènes du premier ordre, Demonstratio Math., 11 (1978), no. 1, pp. 83-103. | MR | Zbl
,[18] Sturmian theory for ordinary differential equations, Springer, New York, 1980. | MR | Zbl
,[19] Linear variation of constants, Amer. J. Math., 68 (1946), pp. 185-213. | MR | Zbl
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