On a spectral criterion for almost periodicity of solutions of periodic evolution equations.
On a structure of second order linear differential equations with periodic coefficients having the same discriminant
On a structure of the intersection of the set of dispersions of two second-order linear differential equations
On a theorem of Nehari and quasidiscs.
On a transformation of solutions of the differential equation with a complex coefficient of a real variable
On algebraic approach in quadratic systems.
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation
On algebraic solutions of algebraic Pfaff equations
We give a new proof of Jouanolou’s theorem about non-existence of algebraic solutions to the system . We also present some generalizations of the results of Darboux and Jouanolou about algebraic Pfaff forms with algebraic solutions.
On Almost-periodical Solutions of an Equation
On an algebraic structure of a group of phases
On an almost periodicity criterion of solutions for systems of nonhomogeneous linear differential equations with almost periodic coefficients
On an application of the generalized Floquet theory to the transformation of the equation into its associated equation
On an asymptotic behaviour of solutions of the differential equation of the fourth order
On an th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution.
On an oscillation criterion of Hartman, Wintner and Potter
On analytic and meromorphic functions satisfying nth order algebraic differential equations in regions of the plane.
On asymptotic behavior of solutions of -th order Emden-Fowler differential equations with advanced argument
We study oscillatory properties of solutions of the Emden-Fowler type differential equation where , , and for . Sufficient (necessary and sufficient) conditions of new type for oscillation of solutions of the above equation are established. Some results given in this paper generalize the results obtained in the paper by Kiguradze and Stavroulakis (1998).
On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations
For the equation existence of oscillatory solutions is proved, where is an arbitrary point and is a periodic non-constant function on . The result on existence of such solutions with a positive periodic non-constant function on is formulated for the equation
On asymptotic behaviour of central dispersions of linear differential equations of the second order
On asymptotic behaviour of oscillatory solutions for fourth order differential equations.