Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions
Smooth and discrete systems -- algebraic, analytic, and geometrical representations.
Smooth dependence on parameters for some functional-differential equations.
Smooth factorizations of matrix valued functions and their derivatives.
Smooth Gevrey normal forms of vector fields near a fixed point
We study germs of smooth vector fields in a neighborhood of a fixed point having an hyperbolic linear part at this point. It is well known that the “small divisors” are invisible either for the smooth linearization or normal form problem. We prove that this is completely different in the smooth Gevrey category. We prove that a germ of smooth -Gevrey vector field with an hyperbolic linear part admits a smooth -Gevrey transformation to a smooth -Gevrey normal form. The Gevrey order depends on...
Smooth linearization of centres
Smoothers and their applications in autonomous system theory.
Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data
The purpose of this paper is to derive the error estimates for discretization in time of a semilinear parabolic equation in a Banach space. The estimates are given in the norm of the space for when the initial condition is not regular.
Smoothness as an invariant property of coefficients of linear differential equations
Smoothness of solutions of conjugate boundary-value problems on a measure chain.
Smoothness of the attractor of almost all solutions of a delay differential equation [Book]
Smoothness of unordered curves in two-dimensional strongly competitive systems
It is known that in two-dimensional systems of ODEs of the form with (strongly competitive systems), boundaries of the basins of repulsion of equilibria consist of invariant Lipschitz curves, unordered with respect to the coordinatewise (partial) order. We prove that such curves are in fact of class .
Smoothness Properties of Solutions of Caputo-Type Fractional Differential Equations
Mathematics Subject Classification: 26A33, 34A25, 45D05, 45E10We consider ordinary fractional differential equations with Caputo-type differential operators with smooth right-hand sides. In various places in the literature one can find the statement that such equations cannot have smooth solutions. We prove that this is wrong, and we give a full characterization of the situations where smooth solutions exist. The results can be extended to a class of weakly singular Volterra integral equations.
Smoothness property for bifurcation diagrams.
Strata of bifurcation sets related to the nature of the singular points or to connections between hyperbolic saddles in smooth families of planar vector fields, are smoothly equivalent to subanalytic sets. But it is no longer true when the bifurcation is related to transition near singular points, for instance for a line of double limit cycles in a generic 2-parameter family at its end point which is a codimension 2 saddle connection bifurcation point. This line has a flat contact with the line...
Sobolev gradients for differential algebraic equations.
Sobre la aplicación del teoerma de Picard a una ecuación diferencial de orden n.
Sobre La Cohomologia Asociada A Un Operador Lineal Diferencial Complejo.
Sobre la ecuación matricial d/dt X(t) = A{t)X(t) + X(t)B(t) + C(t) con coeficientes periódicos.
Software for the algorithmic work with orthogonal polynomials and special functions.
Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorpition: Travelling weaves.