On non-point invertible transformations of difference and differential-difference equations.
On nonresonance impulsive functional differential equations with periodic boundary conditions.
On nonresonance impulsive functional nonconvex valued differential inclusions
In this paper a fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used to investigate the existence of solutions for first and second order nonresonance impulsive functional differential inclusions in Banach spaces.
On nonresonance problems of second-order difference systems.
On nonstationary motion of a fixed mass of a viscous compressible barotropic fluid bounded by a free boundary
On nth-order differential operators with Bohr-Neugebauer type property.
On numerical solution of a mildly nonlinear turning point problem
On numerical solution of multiparameter Sturm-Liouville spectral problems
The method proposed here has been devised for solution of the spectral problem for the Lamé wave equation (see [2]), but extended lately to more general problems. This method is based on the phase function concept or the Prüfer angle determined by the Prüfer transformation cotθ(x) = y'(x)/y(x), where y(x) is a solution of a second order self-adjoint o.d.e. The Prüfer angle θ(x) has some useful properties very often being referred to in theoretical research concerning both single- and multi-parameter...
On numerical solution of ordinary differential equations with discontinuities
The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be .
On Oleck-Opial-Beesack-Troy integro-differential inequalities.
On one class of solvable boundary value problems for ordinary differential equation of -th order
On one class of solvable boundary value problems for ordinary differential equation of -th order
New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of -th order with certain functional boundary conditions are constructed by the method of a priori estimates.
On one problem of Smale.
On one system of nonlinear equations
On one-sided estimates for row-finite systems of ordinary differential equations
We prove an existence and uniqueness theorem for row-finite initial value problems. The right-hand side of the differential equation is supposed to satisfy a one-sided matrix Lipschitz condition with a quasimonotone row-finite matrix which has an at most countable spectrum.
On optimal regularity in evolution equations
Using interpolation techniques we prove an optimal regularity theorem for the convolution , where is a strongly continuous semigroup in general Banach space. In the case of abstract parabolic problems – that is, when is an analytic semigroup – it lets us recover in a unified way previous regularity results. It may be applied also to some non analytic semigroups, such as the realization of the Ornstein-Uhlenbeck semigroup in , , in which case it yields new optimal regularity results in fractional...
On order 5 symplectic explicit Runge-Kutta Nyström methods.
On ordinary linear differential equations of high order
On ordinary linear -adic differential equations with algebraic function coefficients
On Orthogonal Series Solution For Boundary Layer Problems