Statistical mechanics of nonlinear wave equations
Steady state in a biological system: global asymptotic stability
A suitable Liapunov function is constructed for proving that the unique critical point of a non-linear system of ordinary differential equations, considered in a well determined polyhedron , is globally asymptotically stable in . The analytic problem arises from an investigation concerning a steady state in a particular macromolecular system: the visual system represented by the pigment rhodopsin in the presence of light.
Steady state response of a nonlinear system.
Steepest descent method on a Riemannian manifold: the convex case.
Stejnoměrná stabilita a stejnoměrná asymptotická stabilita množin vzhledem k spojitému toku
Stepanov-like almost automorphic solutions for nonautonomous evolution equations.
Stepanov-like square-mean pseudo almost automorphic solutions to partial neutral stochastic functional differential equations
We obtain the existence and uniqueness of square-mean pseudo almost automorphic mild solutions to first-order partial neutral stochastic functional differential equations with Stepanov-like almost automorphic coefficients in a real separable Hilbert space.
Stetige Abhängigkeit von einem Parameter für ein Differentialgleichungssystem mit Impulsen
Stieltjes differential problems with general boundary value conditions. Existence and bounds of solutions
We are concerned with first order set-valued problems with very general boundary value conditions involving the Stieltjes derivative with respect to a left-continuous nondecreasing function , a Carathéodory multifunction and a continuous . Using appropriate notions of lower and upper solutions, we prove the existence of solutions via a fixed point result for condensing mappings. In the periodic single-valued case, combining an existence theory for the linear case with a recent result involving...
Stochastic differential equation driven by a pure-birth process
A generalization of the Poisson driven stochastic differential equation is considered. A sufficient condition for asymptotic stability of a discrete time-nonhomogeneous Markov process is proved.
Stochastic differential equations in Hilbert spaces
Stochastic differential equations with boundary conditions driven by a Poisson noise.
Stochastic differential inclusions
The definition and some existence theorems for stochastic differential inclusions depending only on selections theorems are given.
Stochastic differential inclusions
The definition and some existence theorems for stochastic differential inclusion dZₜ ∈ F(Zₜ)dXₜ, where F and X are set valued stochastic processes, are given.
Stochastic flow for SDEs with jumps and irregular drift term
We consider non-degenerate SDEs with a β-Hölder continuous and bounded drift term and driven by a Lévy noise L which is of α-stable type. If β > 1 - α/2 and α ∈ [1,2), we show pathwise uniqueness and existence of a stochastic flow. We follow the approach of [Priola, Osaka J. Math. 2012] improving the assumptions on the noise L. In our previous paper L was assumed to be non-degenerate, α-stable and symmetric. Here we can also recover relativistic and truncated stable processes and some classes...
Stochastic stability of Cohen-Grossberg neural networks with unbounded distributed delays.
Stochastically perturbed allelopathic phytoplankton model.
Stokes matrices of hypergeometric integrals
In this work we compute the Stokes matrices of the ordinary differential equation satisfied by the hypergeometric integrals associated to an arrangement of hyperplanes in generic position. This generalizes the computation done by J.-P. Ramis for confluent hypergeometric functions, which correspond to the arrangement of two points on the line. The proof is based on an explicit description of a base of canonical solutions as integrals on the cones of the arrangement, and combinatorial relations between...
Stokes multipliers for subdominant solutions of second order differential equations with polynomial coefficients.
Stokes phenomenon, multisummability and differential Galois groups
We precise the cohomological analysis of the Stokes phenomenon for linear differential systems due to Malgrange and Sibuya by making a rigid natural choice of a unique cocycle (called a Stokes cocyle) in every cohomological class. And we detail an algebraic algorithm to reduce any cocycle to its cohomologous Stokes form. This gives rise to an almost algebraic definition of sums for formal solutions of systems which we compare to the most usual ones. We also use this construction to the Stokes cocycle...