In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. © 2004 Elsevier Ltd. All rights reserved
We consider a perturbed Hill’s equation of the form φ̈+(p0(t) + εp1(t))φ = 0, where p0 is real analy...
AbstractUnder some nondegeneracy conditions we give asymptotic formulae for the stability parameter ...
The Hill's equations-even in the linear original version are a describer of phenomenon having chaoti...
WOS: 000189226600014In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and...
AbstractIn this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiper...
In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associat...
We research the asymptotic formula for the lengths of the instability intervals of the Hill’s equati...
In this paper, some estimates are derived explicitly for periodic and semiperiodic eigenvalues of Hi...
AbstractWe revisit the old problem of finding the stability and instability intervals of a second-or...
We research the asymptotic formula for the lengths of the instability intervals of the Hill's equati...
We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently dif...
This work concerns the existence of almost periodic solutions for certain differential equations w...
This paper deals with large scale aspects of Hill's equation (sic) + (a + bp(t)) x = 0, where p is p...
AbstractHill's equation is studied for a particular class of periodic functions, which covers a broa...
A simple example is considered of Hill's equation x" + (a^2 + bp(t))x = 0, where the forcing term p,...
We consider a perturbed Hill’s equation of the form φ̈+(p0(t) + εp1(t))φ = 0, where p0 is real analy...
AbstractUnder some nondegeneracy conditions we give asymptotic formulae for the stability parameter ...
The Hill's equations-even in the linear original version are a describer of phenomenon having chaoti...
WOS: 000189226600014In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and...
AbstractIn this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiper...
In this paper the eigenvalues of the periodic and the semi-periodic boundary value problems associat...
We research the asymptotic formula for the lengths of the instability intervals of the Hill’s equati...
In this paper, some estimates are derived explicitly for periodic and semiperiodic eigenvalues of Hi...
AbstractWe revisit the old problem of finding the stability and instability intervals of a second-or...
We research the asymptotic formula for the lengths of the instability intervals of the Hill's equati...
We estimate the small periodic and semiperiodic eigenvalues of Hill's operator with sufficiently dif...
This work concerns the existence of almost periodic solutions for certain differential equations w...
This paper deals with large scale aspects of Hill's equation (sic) + (a + bp(t)) x = 0, where p is p...
AbstractHill's equation is studied for a particular class of periodic functions, which covers a broa...
A simple example is considered of Hill's equation x" + (a^2 + bp(t))x = 0, where the forcing term p,...
We consider a perturbed Hill’s equation of the form φ̈+(p0(t) + εp1(t))φ = 0, where p0 is real analy...
AbstractUnder some nondegeneracy conditions we give asymptotic formulae for the stability parameter ...
The Hill's equations-even in the linear original version are a describer of phenomenon having chaoti...