On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission.
On stability and boundedness of solutions of a certain fourth-order delay differential equation.
On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order
On stability for time-periodic perturbations of harmonic oscillators
On stability of solutions to linear systems with periodic coefficients.
On strongly monotone flows
M. Hirsch's famous theorem on strongly monotone flows generated by autonomous systems u'(t) = f(u(t)) is generalized to the case where f depends also on t, satisfies Carathéodory hypotheses and is only locally Lipschitz continuous in u. The main result is a corresponding Comparison Theorem, where f(t,u) is quasimonotone increasing in u; it describes precisely for which components equality or strict inequality holds.
On structure of solutions of a system of four differential inequalities.
On Sumudu transform and system of differential equations.
On systems governed by two alternating vector fields
We investigate the nonautonomous periodic system of ODE’s of the form , where is a -periodic function defined by for , for and the vector fields and are related by an involutive diffeomorphism.
On the almost periodic solutions of differential equations on Hilbert spaces.
On the approximation of the limit cycles function.
On the asymptotic behavior at infinity of solutions to quasi-linear differential equations
Sufficient conditions are formulated for existence of non-oscillatory solutions to the equation with , real (not necessarily natural) , and continuous functions and defined in a neighborhood of . For this equation with positive potential a criterion is formulated for existence of non-oscillatory solutions with non-zero limit at infinity. In the case of even order, a criterion is obtained for all solutions of this equation at infinity to be oscillatory. Sufficient conditions are obtained...
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 asymptotic behavior of solutions of certain third-order nonlinear differential equations.
On the asymptotic behavior of solutions of nonlinear ordinary differential equations
On the asymptotic behavior of solutions of the equation y" + p(x)y = 0
On the asymptotic behavior of the pantograph equations.
On the asymptotic classes of solutions of a superlinear differential equation
On the asymptotic nature of a class of second order nonlinear systems.
On the Asymptotic Relationship at Infinity between the solutions of two Differential Systems