Cauchy atlas on the manifold of all maximal solutions of an ODE system.
Cauchy problem for derivors in finite dimension.
Cauchy Problem for Differential Equation with Caputo Derivative
The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate solution...
Cauchy's problem for systems of linear differential equations with distributional coefficients
Closed form solutions of coupled algebraic and differential matrix equations
Common general practical method for solving ordinary and partial differential equations
Compactness and existence results for ordinary differential equations in Banach spaces.
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.
Conditional differential equations
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.
Continuability and estimates of solutions of (a(t)ψ(x)x')' + c(t)f(x) = 0
Continuous dependence of boundary value for semiinfinite interval ordinary differential equations.
Continuous dependence of inverse fundamental matrices of generalized linear ordinary differential equations on a parameter
The problem of continuous dependence for inverses of fundamental matrices in the case when uniform convergence is violated is presented here.
Continuous dependence of solutions of generalized linear ordinary differential equations on a parameter
We present here the problem of continuous dependence for generalized linear ordinary differential equations in the case when uniform convergence is violated. This work continues research of M. Ashordia (1993) and M. Tvrdý (2002).
Continuous dependence on a parameter of solutions of generalized differential equations
Degenerating Cahn-Hilliard systems coupled with mechanical effects and complete damage processes
This paper addresses analytical investigations of degenerating PDE systems for phase separation and damage processes considered on nonsmooth time-dependent domains with mixed boundary conditions for the displacement field. The evolution of the system is described by a degenerating Cahn-Hilliard equation for the concentration, a doubly nonlinear differential inclusion for the damage variable and a quasi-static balance equation for the displacement field. The analysis is performed on a time-dependent...
Dependence of a weak solution of the first order differential equation on a parameter.
Die Anwendung der Quasilinearisation auf gewisse Probleme aus der Theorie der gewöhnlichen Differentialgleichungen 3. Ordnung
Diferenciální rovnice v ČSR v letech 1945-1985
Differential Equations in Operator Algebras. I. Invariance of the Siegel Disk.
Distribution differential equations. Regularization and bending of a rod.