A (...)-stable approximations of abstract Cauchy problems.
A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices.
A Stepsize Control for Continuation Methods and its Special Application to Multiple Shooting Techniques.
A stochastic min-driven coalescence process and its hydrodynamical limit
A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalized version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models.
A stochastic scheme of approximation for ordinary differential equations.
A stochastic two-point boundary value problem.
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. I.
A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. II.
A strong relaxation theorem for maximal monotone differential inclusions with memory
We consider maximal monotone differential inclusions with memory. We establish the existence of extremal strong and then we show that they are dense in the solution set of the original equation. As an application, we derive a “bang-bang” principle for nonlinear control systems monitored by maximal monotone differential equations.
A study of an operator arising in the theory of circular plates
The operator , , , is shown to be essentially self-adjoint, positive definite with a compact resolvent. The conditions on (in fact, on a general symmetric operator) are given so as to justify the application of the Fourier method for solving the problems of the types and , respectively.
A study of second order differential inclusions with four-point integral boundary conditions
In this paper, we discuss the existence of solutions for a four-point integral boundary value problem of second order differential inclusions involving convex and non-convex multivalued maps. The existence results are obtained by applying the nonlinear alternative of Leray Schauder type and some suitable theorems of fixed point theory.
A Sturm separation theorem for a linear -th order self-adjoint differential equation.
A Sturm-Liouville problem with spectral and large parameters in boundary conditions and the associated Cauchy problem
We study a Sturm-Liouville problem containing a spectral parameter in the boundary conditions. We associate to this problem a self-adjoint operator in a Pontryagin space Π₁. Using this operator-theoretic formulation and analytic methods, we study the asymptotic behavior of the eigenvalues under the variation of a large physical parameter in the boundary conditions. The spectral analysis is applied to investigate the well-posedness and stability of the wave equation of a string.
A subshift of finite type in the Takens-Bogdanov bifurcation with symmetry.
A sufficient condition for a polynomial centre to be global
A sufficient condition is given in order that a centre of a polynomial planar autonomous system be a global centre.
A sufficient condition for a system of ordinary differential equations to be technically contractively stable.
A sufficient condition for GPN-stability for delay differential equations.
A sufficient condition for the existence of multiple periodic solutions of differential inclusions
A Sufficient Disconjugacy Condition for the Third Order Differential Equation
A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog.