A singular ODE related to quasilinear elliptic equations.
A singular perturbation method for saddle connections and subharmonics of certain nonlinear differential equations with fixed saddle points.
Saddle connections and subharmonics are investigated for a class of forced second order differential equations which have a fixed saddle point. In these equations, which have linear damping and a nonlinear restoring term, the amplitude of the forcing term depends on displacement in the system. Saddle connections are significant in nonlinear systems since their appearance signals a homoclinic bifurcation. The approach uses a singular perturbation method which has a fairly broad application to saddle...
A singular perturbation problem in integrodifferential equations.
A singular spectral identity and inequality involving the Dirichlet integral of an ordinary differential expression
A singular Sturm-Liouville problem treated by non-standard analysis.
A singular third-order 3-point boundary-value problem with nonpositive Green's function.
A singular version of Leighton's comparison theorem for forced quasilinear second order differential equations
We extend the classical Leighton comparison theorem to a class of quasilinear forced second order differential equations where the endpoints , of the interval are allowed to be singular. Some applications of this statement in the oscillation theory of (*) are suggested.
A smooth Lyapunov function from a class- estimate involving two positive semidefinite functions
A smooth Lyapunov function from a class- estimate involving two positive semidefinite functions
We consider differential inclusions where a positive semidefinite function of the solutions satisfies a class- estimate in terms of time and a second positive semidefinite function of the initial condition. We show that a smooth converse Lyapunov function, i.e., one whose derivative along solutions can be used to establish the class- estimate, exists if and only if the class- estimate is robust, i.e., it holds for a larger, perturbed differential inclusion. It remains an open question whether...
A software package for the numerical integration of ODEs by means of high-order Taylor methods.
A solution of the Cauchy problem in the class of absolutely continuous distribution-valued functions.
A solution of the continuous Lyapunov equation by means of power series
A solution to the bidimensional global asymptotic stability conjecture
A spectral Galerkin approximation of the Orr-Sommerfeld eigenvalue problem in a semi-finite domain.
A spectral mapping theorem for semigroups solving PDEs with nonautonomous past.
A spectral regularization method for a Cauchy problem of the modified Helmholtz equation.
-stability and numerical solution of abstract differential equations
A stability criterion for periodic systems with first integrals
A stability theory for perturbed differential equations.
-stabilní metody libovolně vysokého řádu