Self similar solutions of generalized Burgers equation.
Semilinear evolution equations of the parabolic type
This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.
Set differential equations with causal operators.
Set-valued fractional order differential equations in the space of summable functions
In this paper, we study the existence of integrable solutions for the set-valued differential equation of fractional type , a.e. on (0,1), , αₙ ∈ (0,1), where F(t,·) is lower semicontinuous from ℝ into ℝ and F(·,·) is measurable. The corresponding single-valued problem will be considered first.
Singularity diferenciální rovnice
Singularity diferenciální rovnice. II
Sobre la aplicación del teoerma de Picard a una ecuación diferencial de orden n.
Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.
Solution dependence on problem parameters for initial-value problems associated with the Stieltjes Sturm-Liouville equations.
Solutions of initial value problems for a pair of linear first order ordinary differential systems with interface-spatial conditions.
Solving of Volterra's linear integral equations
Some analytical properties of solutions of differential equations of noninteger order.
Some compactness methods in the theory of nonlinear evolution equations with applications to P.D.E.
Some observations on a Conti's result
An extension of a result of R. Conti is given from which some integro-differential inequalities of the Gronwall-Bellman-Bihari type and a criterion for the continuation of solutions of a system of ordinary differential equations are deduced.
Some properties of solutions to polynomial systems of differential equations.
Some remarks on comparison functions
We answer some questions concerning Perron and Kamke comparison functions satisfying the Carathéodory condition. In particular, we show that a Perron function multiplied by a constant may not be a Perron function, and that not every comparison function is bounded by a comparison function with separated variables. Moreover, we investigate when a sum of Perron functions is a Perron function. We also present a criterion for comparison functions with separated variables.
Some remarks on Nagumo's theorem
We provide a simpler proof for a recent generalization of Nagumo’s uniqueness theorem by A. Constantin: On Nagumo’s theorem. Proc. Japan Acad., Ser. A 86 (2010), 41–44, for the differential equation , and we show that not only is the solution unique but the Picard successive approximations converge to the unique solution. The proof is based on an approach that was developed in Z. S. Athanassov: Uniqueness and convergence of successive approximations for ordinary differential equations. Math....
Stability of solutions of a nonstandard ordinary differential system by Lyapunov's second method.
Stabilization of functions and its application.
Structure of the sets of weak solutions of an ordinary differential equation in a Banach space