Polynomial spline collocation methods for second-order Volterra integrodifferential equations.
Population dynamics of Bithynia tentaculata
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or phenotypes. Motivated by the theory of mutation-selection in adaptive evolution, we propose a model based on a continuous variable that represents the expression level of a resistance gene (or genes, yielding a phenotype) influencing in healthy and tumor cells birth/death...
Positive almost automorphic solutions for some nonlinear delay integral equations.
Positive solutions for a system of fractional boundary value problems
We investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with nonnegative nonlinearities which can be nonsingular or singular functions, subject to multi-point boundary conditions that contain fractional derivatives.
Positive solutions of a renewal equation
An existence theorem is proved for the scalar convolution type integral equation .
Positive solutions of integrodifferential equations.
Positive solutions of nonlinear delay integral equations modelling epidemics and population growth.
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient.
Positive solutions of Volterra integro-differential equations.
Positivity and Regularity of Hyperbolic Volterra Equations in Banach Spaces.
Predictor-corrector methods for nonlinear Volterra integral equations of the second kind
Principal matrix solutions and variation of parameters for a Volterra integro-differential equation and its adjoint.
Principe d'extremum relatif aux solutions de l'équation intégro-différentielle du processus stochastique markovien mixte
Probability distribution solutions of a general linear equation of infinite order
Let (Ω,,P) be a probability space and let τ: ℝ × Ω → ℝ be strictly increasing and continuous with respect to the first variable, and -measurable with respect to the second variable. We obtain a partial characterization and a uniqueness-type result for solutions of the general linear equation in the class of probability distribution functions.
Problem of optimal control with one-sided mixed restrictions for controlled objects described by integral equations with measure.
Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville
Démonstration d’un théorème d’existence de la solution du problème de Cauchy pour les équations intégro-différentielles de la dynamique d’un gaz relativiste soumis à son propre champ de gravitation : les inégalités énergétiques des sytèmes hyperboliques et un théorème de point fixe sont utilisés. Les résultats sont obtenus dans des espaces de Sobolev pour le champ de gravitation et pour le produit par de la fonction de distribution (, vecteur temporel).
Problème de Cauchy pour l'équation de Boltzmann en relativité générale
Problème de Dirichlet intégro-différentiel et semi-groupe de Feller sur un ouvert borné de
Problèmes concernant différentes classes d'équations intégro-différentielles non linéaires aux opérateurs polyvibrants