Comparison theorems for nonlinear ODE's
Compartmental Models of Migratory Dynamics
Compartmentalization is a general principle in biological systems which is observable on all size scales, ranging from organelles inside of cells, cells in histology, and up to the level of groups, herds, swarms, meta-populations, and populations. Compartmental models are often used to model such phenomena, but such models can be both highly nonlinear and difficult to work with.Fortunately, there are many significant biological systems that are amenable to linear compartmental models which are often...
Complementary analysis of the initial value problem for a system of o.d.e. modelling the immune system after vaccinations
Complementary analysis of a model of the human immune system after a series of vaccinations, proposed in [7] and studied in [6], is presented. It is shown that all coordinates of every solution have at most two extremal values. The theoretical results are compared with experimental data.
Complementary matrices in the inclusion principle for dynamic controllers
A generalized structure of complementary matrices involved in the input-state- output Inclusion Principle for linear time-invariant systems (LTI) including contractibility conditions for static state feedback controllers is well known. In this paper, it is shown how to further extend this structure in a systematic way when considering contractibility of dynamic controllers. Necessary and sufficient conditions for contractibility are proved in terms of both unstructured and block structured complementary...
Complementos al "Differentialgleichungen" de E. Kamke.
Compléments Aux Traités De Kamke Et De Murphy I. Une Généralisation Des Équations Différentielles De Clairaut Et De D'Alembert Transformeé Aux Équations Différentielles Des Types Connus
Compléments aux traités de Kamke et de Murphy. III. Quelques critères suffisantes de l'intégrabilité effective de léquation de Riccati avec deux coefficients arbitraires.
Complements aux Traites de Kamke et de Murphy IV.
Compléments Aux Traités De Kamke Et De Murphy. V. Queloques Classes De L'Équation De Riccati Effectivement Intégrables Avec Deux Coefficients Arbitraires Et Le Troisième Dépendant De Ces Deux Et D'Une Fonction Arbitraire
Compléments aux traités de Kamke et de Murphy. V. Quelques classes de l'équation de Riccati effectivement intégrables avec deux arbitraires et le troisième dépendant de ces deux et d'une fonction arbitraire.
Compléments aux traités de Kamke et de Murphy. VI. Sur certaine méthode de construction des critères et des classes de l'équation différentielle linéaire et homogène du second ordre effectivment intégrables, II partie
Compléments aux traités de Kamke et de Murphy. VII: Une méthode de l'obtention des classes de l'équation différentielle linéaire et homogène du second ordre effectivement intégrables.
Complements aux traités de Kamke et du Murphy. VI. Sur certaine méthode de construction des critères et de classes de l'équation différentielle linéaire et homogène du second ordre effectivement intégrables, I partie
Compléments aux traités de Kramke et de Murphy. I. Une généralisation des équations différentielles de Clairaut et de d'Alembert transformée aux équations différentielles des types connus.
Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions
Computable error bounds for collocation methods.
Computing generalized inverse systems using matrix pencil methods
We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system matrix pencil...
Computing the differential of an unfolded contact diffeomorphism
Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of . Singularity classes containing bifurcation points with , are considered.
Computing the Galois group of a linear differential equation
Concours d'admission à l'École normale supérieure