A Massera-type criterion for almost periodic solutions of higher-order delay or advance abstract functional differential equations.
A mathematical model describing the thyroid-pituitary axis with time delays in hormone transportation
In the present paper, a mathematical model, originally proposed by Danziger and Elmergreen and describing the thyroid-pituitary homeostatic mechanism, is modified and analyzed for its physiological and clinical significance. The influence of different system parameters on the stability behavior of the system is discussed. The transportation delays of different hormones in the bloodstream, both in the discrete and distributed forms, are considered. Delayed models are analyzed regarding the stability...
A mathematical model for the dynamics of Hepatitis C.
A mean value property for pairs of integrals.
A method for determining constants in the linear combination of exponentials
Shifting a numerically given function we obtain a fundamental matrix of the linear differential system with a constant matrix . Using the fundamental matrix we calculate , calculating the eigenvalues of we obtain and using the least square method we determine .
A method for finding the step size of integration of a system of ordinary differential equations
A method in diophantine approximation V
A method in diophantine approximation (VI)
A method of discretization for the Lagerström-Cole model equation.
A method of solving .
A method to solve an equation with left and right fractional derivatives
A methodology for the numerical computation of normal forms, centre manifolds and first integrals of Hamiltonian systems.
A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems.
A min-max theorem and its applications to nonconservative systems.
A model for gene activation.
A model for phenomena of instability
A model of competition
A competition model is described by a nonlinear first-order differential equation (of Riccati type). Its solution is then used to construct a functional equation in two variables (admitting essentially the same solution) and several iterative functional equations; their continuous solutions are presented in various forms (closed form, power series, integral representation, asymptotic expansion, continued fraction). A constant C = 0.917... (inherent in the model) is shown to be a transcendental number....
A model of frontal polymerization using complex initiation.
A modification and comparison of Filippov and Viktorovskij generalized solutions
A modification of the Sturm's theorem on separating zeros of solutions of a linear differential equation of the 2nd order