On the existence of solutions of differential equations of retarded type in a Banach space
On the existence of solutions of operator-differential equations
On the existence of solutions of the -th order non-linear differential equation with delay
On the existence of solutions of the singular Cauchy problem for systems of differential equations not solved with respect to the derivatives.
On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations
On the existence of steady flow in a channel with one porous wall or two accelerating walls.
On the existence of viable solutions for a class of second order differential inclusions
We prove the existence of viable solutions to the Cauchy problem x” ∈ F(x,x’), x(0) = x₀, x’(0) = y₀, where F is a set-valued map defined on a locally compact set , contained in the Fréchet subdifferential of a ϕ-convex function of order two.
On the existence of -minimal viable solutions for a class of differential inclusions
On the Expansion Theorem for a Certain Boundary Value Problem for a Functional Differential Equation
On the explicit solution of a linear first order Cauchy problem with distributional coefficients.
On the exponential stability of a certain Lurie system
On the Factorization of the Poincaré Polynomial: A Survey
2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30.Factorization is an important and very difficult problem in mathematics. Finding prime factors of a given positive integer n, or finding the roots of the polynomials in the complex plane are some of the important problems not only in algorithmic mathematics but also in cryptography.
On the floating body problem
On the Floquet theory of differential equations with a complex coefficient of the real variable
On the focal points of solutions of a certain fourth order differential equation
On the formulation of the traction problem for the flow theory of plasticity
On the “freezing” method for nonlinear nonautonomous systems with delay.
On the functional integrability and asymptotic behaviours of a certain differential equation with delay
On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory
A general theorem on the GBDT version of the Bäcklund-Darboux transformation for systems depending rationally on the spectral parameter is treated and its applications to nonlinear equations are given. Explicit solutions of direct and inverse problems for Dirac-type systems, including systems with singularities, and for the system auxiliary to the N-wave equation are reviewed. New results on explicit construction of the wave functions for radial...
On the generalized boundary value problem
In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.