On a finite difference analogue of a singular boundary value problem.
On a finite difference analogue of forth order for boundary value problem.
On a Five-Diagonal Jacobi Matrices and Orthogonal Polynomials on Rays in the Complex Plane
∗ Partially supported by Grant MM-428/94 of MESC.Systems of orthogonal polynomials on the real line play an important role in the theory of special functions [1]. They find applications in numerous problems of mathematical physics and classical analysis. It is known, that classical polynomials have a number of properties, which uniquely define them.
On a fixed point index method for the analysis of the asymptotic behavior and boundary value problems of process and semidynamical systems
On a fixed point theorem and applications to a two point boundary value problem
On a fixed point theorem for weakly sequentially continuous mapping
Let E be a metrizable locally convex topological vector space x ∈ E, and let D be a closed convex subset of E such that x ∈ D. In this paper we prove that the weakly sequentially continuous mapping F: D ∪ D which satisfies V̅ = c̅o̅n̅v̅({x} ∪ F(V))⇒ V is relatively weakly compact, has a fixed point. Employing the above results we prove the existence theorem for the Cauchy problem x'(t) = f(t,x(t)), x(0) = x₀. As compared with the previous...
On a fourth order periodic boundary value problem
Existence and uniqueness of the solution to a fourth order nonlinear vector periodic boundary value problem is proved by using the estimates for derivatives of the Green function for the corresponding homogenous scalar problem
On a fourth-order finite difference method for nonlinear two-point boundary value problems.
On a Fučík problem
On a functional equation with derivative and symmetrization
We study existence, uniqueness and form of solutions to the equation where α, β, γ and f are given, and stands for the even part of a searched-for differentiable function g. This equation emerged naturally as a result of the analysis of the distribution of a certain random process modelling a population genetics phenomenon.
On a functional-differential equation related to Golomb's self-described sequence
The functional-differential equation is closely related to Golomb’s self-described sequence ,We describe the increasing solutions of this equation. We show that such a solution must have a nonnegative fixed point, and that for every number there is exactly one increasing solution with as a fixed point. We also show that in general an initial condition doesn’t determine a unique solution: indeed the graphs of two distinct increasing solutions cross each other infinitely many times. In fact...
On a fundamental central dispersion of the first kind and the Abel functional equation in strongly regular spaces of continuous functions
On a galoisian approach to the splitting of separatrices
On a general conception of duality in optimal control
On a general similarity boundary layer equation.
On a generalization of a theorem of S. Bernstein
On a Generalized Linear Boundary Value Problem
On a generalized time-varying SEIR epidemic model with mixed point and distributed time-varying delays and combined regular and impulsive vaccination controls.
On a geometrical study of population ecosystems.
On a higher-order evolution equation with a Stepanov-bounded solution.