On the transfer of conditions as applied to solving two-dimensional boundary value problems
On the transformation theory of ordinary second-order linear symmetric differential expressions
On the transformation theory of ordinary second-order linear symmetric differential equations
On the two-point boundary value problem for quadratic second-order differential equations and inclusions on manifolds.
On the two-point boundary-value problem for the Riccati matrix differential equation
Constructive sufficient conditions for univalent resolvability of a two-point boundary value problem for nonlinear Riccati equation are obtained. An illustrative example is given.
On the uniform exponential stability of linear time-delay systems.
On the unique solvability of the Runge-Kutta equations.
On the uniqueness of positive solutions for two-point boundary value problems of Emden-Fowler differential equations
The two-point boundary value problem is considered, where , and for . The existence of positive solutions is well-known. Several sufficient conditions have been obtained for the uniqueness of positive solutions. On the other hand, a non-uniqueness example was given by Moore and Nehari in 1959. In this paper, new uniqueness results are presented.
On the uniqueness of solutions of functional differential equations with nonincreasing right-hand sides
It is proved that nonincreasing and satisfying the Volterra condition right-hand side of a functional differential equation does not guarantee the uniqueness of solutions.
On the uniqueness of solutions to the weighted initial value problem for higher-order evolution singular functional-differential equations.
On the Vallée-Poussin problem for singular differential equations with deviating arguments
For the differential equation where the vector function has nonintegrable singularities with respect to the first argument, sufficient conditions for existence and uniqueness of the Vallée–Poussin problem are established.
On the Value Distribution Theory of Elliptic Functions.
On the weakly almost periodic solutions of certain abstract differential equations
On the Weierstrass functions, Sigma, Zeta, Pe, and their functional and differential equations.
On the Weierstrass functions, Sigma, Zeta, Pe, and their functional and differential equations. (Short Communication).
On the worst scenario method: a modified convergence theorem and its application to an uncertain differential equation
We propose a theoretical framework for solving a class of worst scenario problems. The existence of the worst scenario is proved through the convergence of a sequence of approximate worst scenarios. The main convergence theorem modifies and corrects the relevant results already published in literature. The theoretical framework is applied to a particular problem with an uncertain boundary value problem for a nonlinear ordinary differential equation with an uncertain coefficient.
On the worst scenario method: Application to uncertain nonlinear differential equations with numerical examples
On the Zero Stability of the Variable Order Variable Stepsize BDF-Formulas.
On the zeros and hyper-order of meromorphic solutions of linear differential equations.
On the zeros of a function related to Bessel functions