On the Phalangia and Pedipalpi collected by Professor Orton in western South America : with the description of new African species.

Article XV

Les champignons (fungi, hyménomycètes) qui croissent en France. Description et iconographie propriétés utiles ou vénéneuses.

Pls. v.3

Les champignons (fungi, hyménomycètes) qui croissent en France. Description et iconographie propriétés utiles ou vénéneuses.

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Les champignons (fungi, hyménomycètes) qui croissent en France. Description et iconographie propriétés utiles ou vénéneuses.

Pls. v.1

Les champignons (fungi, hyménomycètes) qui croissent en France. Description et iconographie propriétés utiles ou vénéneuses.

Pls. v.4

Les champignons (fungi, hyménomycètes) qui croissent en France. Description et iconographie propriétés utiles ou vénéneuses.

Pls. v.2

Les champignons (fungi, hyménomycètes) qui croissent en France. Description et iconographie propriétés utiles ou vénéneuses.

Pls. v.5

Les champignons (fungi, hyménomycètes) qui croissent en France. Description et iconographie propriétés utiles ou vénéneuses.

Pls. v.6

Hortus Jamaicensis, or A botanical description (according to the Linnean system) and an account of the virtues, &c., of its indigenous plants hitherto known, as also of the most useful exotics. Compiled from the best authorities, and alphabetically arranged.

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Hortus Jamaicensis, or A botanical description (according to the Linnean system) and an account of the virtues, &c., of its indigenous plants hitherto known, as also of the most useful exotics. Compiled from the best authorities, and alphabetically arranged.

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Inverse Problems for multiple invariant curves

Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors or Darboux first integrals are of special interest. In the present paper we solve the inverse problem for invariant algebraic curves with a given multiplicity and for integrating factors, under generic assumptions regarding the (multiple) invariant algebraic curves involved. In particular we prove, in this generic scenario, that the existence of a Darboux integrating factor implies Darboux integrability. Furthermore we construct examples where the genericity assumption does not hold and indicate that the situation is different for these.