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Displaying 41 – 60 of 128

Compartmental Models of Migratory Dynamics

J. Knisley, T. Schmickl, I. Karsai (2011)

Mathematical Modelling of Natural Phenomena

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

Urszula Foryś, Norbert Żołek (2000)

Applicationes Mathematicae

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

Lubomír Bakule, José Rodellar, Josep M. Rossell (2003)

Kybernetika

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.

Francisco Javier Erice Rodríguez (1974)

Gaceta Matemática

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

A. Kapcia (1971)

Publications de l'Institut Mathématique

Compléments aux traités de Kamke et de Murphy. III. Quelques critères suffisantes de l'intégrabilité effective de léquation de Riccati avec deux coefficients arbitraires.

A. Kapcia (1977)

Publications de l'Institut Mathématique [Elektronische Ressource]

Complements aux Traites de Kamke et de Murphy IV.

Andrzej Kapcia (1984)

Publications de l'Institut Mathématique

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

Andrzej Kapcia (1979)

Publications de l'Institut Mathématique

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.

A. Kapcia (1979)

Publications de l'Institut Mathématique [Elektronische Ressource]

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

A. Kapcia (1983)

Matematički Vesnik

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.

Kapcia, Andrzej (1984)

Publications de l'Institut Mathématique. Nouvelle Série

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

A. Kapcia (1983)

Matematički Vesnik

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.

A. Kapcia (1971)

Publications de l'Institut Mathématique [Elektronische Ressource]

Completely monotone families of solutions of $n$ -th order linear differential equations and infinitely divisible distributions

Philip Hartman (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Computable error bounds for collocation methods.

Ahmed, A.H. (1995)

International Journal of Mathematics and Mathematical Sciences

Computing generalized inverse systems using matrix pencil methods

Andras Varga (2001)

International Journal of Applied Mathematics and Computer Science

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

Klaus Böhmer, Drahoslava Janovská, Vladimír Janovský (2003)

Applications of Mathematics

Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism $Φ$ linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential $D Φ (0)$ 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 $D Φ (0)$ . Singularity classes containing bifurcation points with $c o d i m \leq 3$ , $c o r a n k = 1$ are considered.

Computing the Galois group of a linear differential equation

Ehud Hrushovski (2002)

Banach Center Publications

Concours d'admission à l'École normale supérieure

(1873)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Conditional differential equations

Celina Rom (2016)

Applicationes Mathematicae

We introduce and study conditional differential equations, a kind of random differential equations. We give necessary and sufficient conditions for the existence of a solution of such an equation. We apply our main result to a Malthus type model.

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