On the Order Conditions of Runge-Kutta Methods with Higher Derivatives.
On the oscillation of a class of linear homogeneous third order differential equations
In this paper we have considered completely the equation where , , and such that , and . It has been shown that the set of all oscillatory solutions of (*) forms a two-dimensional subspace of the solution space of (*) provided that (*) has an oscillatory solution. This answers a question raised by S. Ahmad and A. C. Lazer earlier.
On the oscillation of a class of nonlinear differential systems with deviating arguments
On the oscillation of a linear differential equation of second order
On the oscillation of nonlinear differential systems with retarded arguments
On the oscillation of solutions of a class of linear fourth order differential equations
On the oscillation of ty" + p(t)y = 0 with ʃ p almost periodic
On the oscillations of the solutions of the equation
On the Poincaré-Lyapunov constants and the Poincare series
For an arbitrary analytic system which has a linear center at the origin we compute recursively all its Poincare-Lyapunov constants in terms of the coefficients of the system, giving an answer to the classical center problem. We also compute the coefficients of the Poincare series in terms of the same coefficients. The algorithm for these computations has an easy implementation. Our method does not need the computation of any definite or indefinite integral. We apply the algorithm to some polynomial...
On the ``Poincaré-Lyapunov”-like systems of three differential equations
On the position of nodes of associated equations to the differential equation
On the properties of central dispersions of linear second order differential equations being of finite type-special
On the properties of solutions to the Goursat--Darboux problem with boundary and distributed controls.
On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type
In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.
On the question of enclosing solutions of linear functional-differential systems.
On the question of generalized solution to algebro-differential systems.
On the reduction method versus the stability of ordinary linear differential equations with unknown coefficients.
On the regular Sturm-Liouville transform.
On the Relation Between Algebraic Stability and B-Convergence for Runge-Kutta Methods.
On the relation of solutions and coefficients of linear differential equation