On Briot-Bouquet Differential Equations and a Question of Einar Hille.
On BVPs in l∞(A).
We prove the existence of extremal solutions of Dirichlet boundary value problems for u''a + fa(t,u,u'a) = 0 in l∞(A) between a generalized pair of upper and lower functions with respect to the coordinatewise ordering, and for f quasimonotone increasing in its second variable.
On Calculating the Eigenvalues of the Finite Hill's Differential Equation
On Cauchy problem for first order nonlinear functional differential equations of non-Volterra’s type
On the segment consider the problem where is a continuous, in general nonlinear operator satisfying Carathéodory condition, and . The effective sufficient conditions guaranteeing the solvability and unique solvability of the considered problem are established. Examples verifying the optimality of obtained results are given, as well.
On Cauchy problemsfor fuzzydifferential equations.
On caustics associated with Rossby waves
Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.
On caustics associated with the linearized vorticity equation
The linearized vorticity equation serves to model a number of wave phenomena in geophysical fluid dynamics. One technique that has been applied to this equation is the geometrical optics, or multi-dimensional WKB technique. Near caustics, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to determine an asymptotic solution of the linearized vorticity equation and to study associated wave...
On centers of cubic systems
On centers of type A and B of polynomial systems
On centers of type of polynomial systems
On certain asymptotic properties of the solutions of the equation with a complex-valued function
On certain comparison theorems for half-linear dynamic equations on time scales.
On certain multipoint boundary valued problems
On certain properties of linear iterative equations
An expression for the coefficients of a linear iterative equation in terms of the parameters of the source equation is given both for equations in standard form and for equations in reduced normal form. The operator that generates an iterative equation of a general order in reduced normal form is also obtained and some other properties of iterative equations are established. An expression for the parameters of the source equation of the transformed equation under equivalence transformations is obtained,...
On Certain Properties of Soloutions of Second-Order Linear Differential Equations.
On certain properties of the solutions of a nonlinear differential equation of the second order
On certain singular third order eigenvalue problem
In this paper a singular third order eigenvalue problem is studied. The results of the paper complete the results given in the papers [3], [5].
On certain third order boundary value problems on infinite interval
On certain third order eigenvalue problem
On certain three-point regular boundary value problems for nonlinear second-order differential equations depending on the parameter