• Aucun résultat trouvé

Qualitative theory of differential equations in the plane and in thr space, with emphasis on the center-focus problem and on the Lotka-Volterra systems

N/A
N/A
Protected

Academic year: 2022

Partager "Qualitative theory of differential equations in the plane and in thr space, with emphasis on the center-focus problem and on the Lotka-Volterra systems"

Copied!
168
0
0

Texte intégral

(1)

ADVERTIMENT. Lʼaccés als continguts dʼaquesta tesi queda condicionat a lʼacceptació de les condicions dʼús establertes per la següent llicència Creative Commons: http://cat.creativecommons.org/?page_id=184 ADVERTENCIA.El acceso a los contenidos de esta tesis queda condicionado a la aceptación de las condiciones de uso establecidas por la siguiente licencia Creative Commons: http://es.creativecommons.org/blog/licencias/

WARNING.The access to the contents of this doctoral thesis it is limited to the acceptance of the use conditions set by the following Creative Commons license: https://creativecommons.org/licenses/?lang=en

Qualitative theory of differential equations in the plane and in thr space, with emphasis on the center-focus problem and on the Lotka-Volterra systems

Valentín Ramírez Sadovski

(2)
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11)
(12)
(13)
(14)
(15)
(16)
(17)
(18)
(19)
(20)
(21)
(22)
(23)
(24)
(25)
(26)
(27)
(28)
(29)
(30)
(31)
(32)
(33)
(34)
(35)
(36)
(37)
(38)
(39)
(40)
(41)
(42)
(43)
(44)
(45)
(46)
(47)
(48)
(49)
(50)
(51)
(52)
(53)
(54)
(55)
(56)
(57)
(58)
(59)
(60)
(61)
(62)
(63)
(64)
(65)
(66)
(67)
(68)
(69)
(70)
(71)
(72)
(73)
(74)
(75)
(76)
(77)
(78)
(79)
(80)
(81)
(82)
(83)
(84)
(85)
(86)
(87)
(88)
(89)
(90)
(91)
(92)
(93)
(94)
(95)
(96)
(97)
(98)
(99)
(100)
(101)
(102)
(103)
(104)
(105)
(106)
(107)
(108)
(109)
(110)
(111)
(112)
(113)
(114)
(115)
(116)
(117)
(118)
(119)
(120)
(121)
(122)
(123)
(124)
(125)
(126)
(127)
(128)
(129)
(130)
(131)
(132)
(133)
(134)
(135)
(136)
(137)
(138)
(139)
(140)
(141)
(142)
(143)
(144)
(145)
(146)
(147)
(148)
(149)
(150)
(151)
(152)
(153)
(154)
(155)
(156)
(157)
(158)
(159)
(160)
(161)
(162)
(163)
(164)
(165)
(166)
(167)
(168)

Références

Documents relatifs

Our purpose here is to describe more accurately the range of parameters leading to these regimes, and the support of the invariant probability measure in case of persistence..

For scalar parabolic equations, uniqueness and stability results in the inverse problem of coefficient determination are generally obtained using the method of Carleman estimates [8,

In the first part the problem is studied for special kernels and we get an optimal control of feedback type involving also the past history of

reference in (T)), which relates to the particular case when the roots of the characteristic equation are distinct. This necessitated use of asymptotic methods.

- This article discusses a conjectural description of the Lie algebra of the differential Galois group attached to a linear differential equation as being the smallest algebraic

(This is the case overlooked in the text.) Then there exists a unique line L c M®C (X) which is ^-stable, and this line is killed by ^. As in case 2 in the text, this L must

In this section, under suitable conditions involving function b , we are going to prove that any optimal control can be expressed in terms of a solution of a certain system,

The Influence of Poincaré's Work on Lyapunov's Memoir When Lyapunov publishes his fondamental memoir [Lyapunov 1892], Poincaré has worked in the qualitative theory of differential