On the basic central dispersion of the differential equation with an almost periodic coefficient
On the basic second kind central dispersion of with an almost periodic coefficient
On the basis properties of a spectral problem with a spectral parameter in a boundary condition.
On the basis property of the root functions of differential operators with matrix coefficients
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then using these asymptotic formulas, we find necessary and sufficient conditions on the coefficients for which the system of eigenfunctions and associated functions of the operator under consideration forms a Riesz basis.
On the Bautin bifurcation for systems of delay differential equations.
On the behavior of the solutions to autonomous linear difference equations with continuous variable
Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.
On the behaviour of solutions of the differential equations
On the behaviour of the generalized solution of the biharmonic equation in two dimensions near singular point of the boundary
On the behaviour of the solutions and their first derivatives of the -th order differential equations with periodic coefficients
On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces.
On the boundary conditions associated with second-order linear homogeneous differential equations
The ideas of the present paper have originated from the observation that all solutions of the linear homogeneous differential equation (DE) satisfy the non-trivial linear homogeneous boundary conditions (BCs) , . Such a BC is referred to as a natural BC (NBC) with respect to the given DE, considered on the interval . This observation suggests the following queries : (i) Will each second-order linear homogeneous DE possess a natural BC ? (ii) How many linearly independent natural BCs can a...
On the boundedness and oscillation of solutions to .
On the boundedness and periodicity of solutions of second-order functional differential equations with a parameter
On the boundedness and the stability results for the solutions of certain third order non-linear differential equations
On the boundedness of a solution of a system of non-linear differential equations
On the boundedness of solutions of a certain fourth-order nonlinear differential equation
On the boundedness of solutions of higher order differential equations
On the boundedness of solutions of nonlinear second-order differential equations with parameter
On the boundedness of the solutions of the continuous Riccati equation.
On the branching of solutions and Signorini's perturbation procedure in elasticity