Erratum to “Mittag-Leffler stability theorem for fractional nonlinear systems with delay”.
Erratum to my paper: On the “Poincaré-Lyapunov”-like systems of three differential equations
Erratum to: “Remarks on bounded solutions for some nonautonomous ODE”.
Error analysis of Adomian series solution to a class of nonlinear differential equations.
Error analysis of splitting methods for semilinear evolution equations
We consider a Strang-type splitting method for an abstract semilinear evolution equation Roughly speaking, the splitting method is a time-discretization approximation based on the decomposition of the operators and Particularly, the Strang method is a popular splitting method and is known to be convergent at a second order rate for some particular ODEs and PDEs. Moreover, such estimates usually address the case of splitting the operator into two parts. In this paper, we consider the splitting...
Error controlled regularization by projection.
Error estimates and step-size control for the approximate solution of a first order evolution equation
Error estimates for asymptotic solutions of dynamic equations on time scales.
Error estimates for external approximation of ordinary differential equations and the superconvergence property
A pointwise error estimate and an estimate in norm are obtained for a class of external methods approximating boundary value problems. Dependence of a superconvergence phenomenon on the external approximation method is studied. In this general framework, superconvergence at the knot points for piecewise polynomial external methods is established.
Error estimates of a numerical method for a class of nonlinear evolution equations
Error estimation for perturbed systems.
Erweiterung des Abel'schen Satzes von der Form der algebraisch-logarithmisch ausdrückbaren Integrale algebraischer Functionen
Erweiterung des -Stabilitätsbegriffes auf die Klasse der linearen Mehrschrittblockverfahren.
In der vorliegenden Arbeit wird der -Stabilitätsbegriff von Dahlquist, der die Grundlage für Stabilitätsuntersuchungen bei linearen Mehrschrittverfahren zur Lösung nichtlinearet Anfangswertaufgaben bildet, auf die Klasse der linearen Mehrschrittblockverfahren übertragen. Es wird nachgewiesen, das Blockverfahren, die in diesem Sinne stabil sind, höchstens die Konsistenzordnung 2 haben können.
Essential self-adjointness of symmetric linear relations associated to first order systems
The purpose of this note is to present several criteria for essential self-adjointness. The method is based on ideas due to Shubin. This note is divided into two parts. The first part deals with symmetric first order systems on the line in the most general setting. Such a symmetric first order system of differential equations gives rise naturally to a symmetric linear relation in a Hilbert space. In this case even regularity is nontrivial. We will announce a regularity result and discuss criteria...
Essential singular points of solutions of an algebraic differential equation.
estabilidad de órbitas relativistas
Estimate for the Number of Zeros of Abelian Integrals on Elliptic Curves
2000 Mathematics Subject Classification: Primary 34C07, secondary 34C08.We obtain an upper bound for the number of zeros of the Abelian integral.The work was partially supported by contract No 15/09.05.2002 with the Shoumen University “K. Preslavski”, Shoumen, Bulgaria.
Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonself-adjoint Sturm-Liouville Operator With Discontinuous Coefficients (III)
Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonselfadjoint Sturm-Liouville Operator With Discontinuous Coefficients (II)
Estimates for Principal Lyapunov Exponents: A Survey
This is a survey of known results on estimating the principal Lyapunov exponent of a timedependent linear differential equation possessing some monotonicity properties. Equations considered are mainly strongly cooperative systems of ordinary differential equations and parabolic partial differential equations of second order. The estimates are given either in terms of the principal (dominant) eigenvalue of some derived time-independent equation or in terms of the parameters of the equation itself....