Inhomogeneous linear differential equations in Banach spaces
Input-output systems in Biology and Chemistry and a class of mathematical models describing them
Our aim is to show a class of mathematical models in application to some problems of cell biology. Typically, our models are described via classical chemical networks. This property is visualized by a conservation law. Mathematically, this conservation law guarantees most of the mathematical properties of the models such as global existence and uniqueness of solutions as well as positivity of the solutions for positive data. These properties are consequences of the fact that the infinitesimal generators...
Integral conditions of oscillation of a linear differential equation
Integral criteria of oscillation for a third order linear differential equation
Integral properties of coefficients of the 2 order linear differential equations having the same distribution of zeros of solutions
Integrale von einigen linearen Differentialgleichungen.
Integration der linearen Differentialgleichung ..................... in welcher n eine ganze positive Zahl und A, B, C constante Zahlen bezeichnen, mittelst bestimmter Integrale
Integration einiger linearen Differentialgleichungen.
Intégration, sous forme finie, d'une quatrième espèce d'équations différentielles linéaires, à coefficients variables
Interval criteria for oscillation of second order self-adjoint matrix differential systems
By employing the matrix Riccati technique and the integral averaging technique, new interval oscillation criteria are established for second-order matrix differential systems of the form [P(t)Y']' + Q(t)Y = 0.
Interval oscillation criteria for second order self-adjoint matrix differential systems with damping
By using the generalized Riccati technique and the averaging technique, we establish new oscillation criteria for the second order self-adjoint matrix differential system with damping (P(t)Y'(t))' + r(t)P(t)Y'(t) + Q(t)Y(t) = 0, t ≥ t₀. The criteria are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t₀,∞), rather than on the whole half-line. In particular, our results complement a number of...
Involutions and iterates of central dispersions