On Lakshmikantham's comparison method for Gronwall inequalities
On Max Muller's existence-comparison theorem for infinite systems of ordinary differential equations
On Nonlinear Equations of Evolution in Banach Spaces
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 Peano's theorem in locally convex spaces
On positive solutions of a class of second order nonlinear differential equations on the halfline
The differential equation of the form , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.
On quasimonotone increasing systems of ordinary differential equations.
On relation between stability and correctness of linear systems of generalized ordinary differential equations.
On semilinear evolution equations in Banach spaces.
On singular boundary value problems for two-dimensional differential systems
On singular functional differential inequalities.
On Some Classes Of Differential Equations
On some classes of differential equations.
On some properties of the solution of the differential equation
In the paper it is shown that each solution ot the initial value problem (2), (3) has a finite limit for , and an asymptotic formula for the nontrivial solution tending to 0 is given. Further, the existence of such a solutions is established by examining the number of zeros of two different solutions , .
On successive approximation for solving the Cauchy problem for a system of linear generalized ordinary differential equations.
On the asymptotic behavior for a damped oscillator under a sublinear friction.
Mostramos la existencia de dos curvas de datos iniciales (x0, v0) para las cuales las soluciones x(t) correspondientes del problema de Cauchy asociado a la ecuación xtt + |xt|α-1 xt + x = 0, supuesto α ∈ (0,1), se anulan idénticamente después de un tiempo finito. Mediante métodos asintóticos y argumentos de comparación mostramos que para muchos otros datos iniciales las soluciones decaen a 0, en un tiempo infinito, como t-α / (1-α).
On the boundedness of solutions of higher order differential equations
On the continuability of solutions of bidimensional systems.
On the correctness of the Cauchy problem for a linear differential system on an infinite interval.
On the dependence of solutions upon the right hand side of an ordinary differential equation.