Asymptotic behavior of non-linear differential equations via non-standard analysis. Part III. Boundedness and monotone behavior of the equation (a(t)φ(x)x')' + c(t)f(x) = q(t)
Asymptotic behavior of solutions of a fourth order linear differential equation
Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature
Asymptotic behavior of solutions of an area-preserving crystalline curvature flow equation is investigated. In this equation, the area enclosed by the solution polygon is preserved, while its total interfacial crystalline energy keeps on decreasing. In the case where the initial polygon is essentially admissible and convex, if the maximal existence time is finite, then vanishing edges are essentially admissible edges. This is a contrast to the case where the initial polygon is admissible and convex:...
Asymptotic behavior of solutions to second-order nonlinear differential equations.
Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order
Asymptotic behaviour of solutions of a linear differential equation
Asymptotic behaviour of solutions of the differential equation of the fourth order. II.
Asymptotic behaviour of the equation with complex-valued coefficients
Asymptotic dichotomy in a class of third-order nonlinear differential equations with impulses.
Asymptotic equivalence and homeomorphism of the families of endomorphisms and surjections of the metrizable vector fibering
Asymptotic equivalence between two systems of ordinary differential equations
Asymptotic equivalence of differential equations with Stepanoff-bounded functional perturbation
Asymptotic equivalence of impulsive differential equations in a Banach space.
By means of Schauder's fixed point theorem sufficient conditions for asymptotic equivalence of impulsive equations in a Banach space are found.
Asymptotic Error Expansions for Stiff Equations: an Analysis for the Implicit Midpoint and Trapezoidal Rules in the Strongly Stiff Case.
Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ordinary differential equations with constant coefficients
Asymptotic estimates of solutions and their derivatives for n-th order nonhomogeneous ODEs with constant coefficients are obtained, provided the associated characteristic polynomial is (asymptotically) stable. Assuming, additionally, the stability of the so called "shifted polynomials" (see below) to the characteristic one, the estimates can be still improved.
Asymptotic expansions of solutions of the equation with complex-valued coefficients
Asymptotic Expansions of the Global Error of Fixed-Stepsize Methods.
Asymptotic forms of solutions of perturbed half-linear ordinary differential equations
Asymptotic forms of solutions of half-linear ordinary differential equation are investigated under a smallness condition and some signum conditions on . When , our results reduce to well-known ones for linear ordinary differential equations.
Asymptotic formulas for solutions of the equation
Asymptotic formulas for the solutions of the equation (py')' + qy = 0