Some Remarks on a Separation and Limit - point Criterion of Second-order, Ordinary Differential Expressions.
Some remarks on a terminal value problem
Some remarks on an ODE-solver of Kirchgraber.
Some remarks on an operational time dependent equation
Some remarks on an operator equation in a Banach space
Some remarks on boundary value problem for differential inclusions
Some sufficient conditions for the existence of solutions to boundary value problem for differential inclusions are given.
Some remarks on comparison functions
We answer some questions concerning Perron and Kamke comparison functions satisfying the Carathéodory condition. In particular, we show that a Perron function multiplied by a constant may not be a Perron function, and that not every comparison function is bounded by a comparison function with separated variables. Moreover, we investigate when a sum of Perron functions is a Perron function. We also present a criterion for comparison functions with separated variables.
Some remarks on Nagumo's theorem
We provide a simpler proof for a recent generalization of Nagumo’s uniqueness theorem by A. Constantin: On Nagumo’s theorem. Proc. Japan Acad., Ser. A 86 (2010), 41–44, for the differential equation , and we show that not only is the solution unique but the Picard successive approximations converge to the unique solution. The proof is based on an approach that was developed in Z. S. Athanassov: Uniqueness and convergence of successive approximations for ordinary differential equations. Math....
Some remarks on semilinear problems at resonance where the nonlinearity depends only on the derivatives
Some remarks on the asymptotic equivalence
Some remarks on the intervals of stability of Runge-Kutta methods after Richardson extrapolation
Some remarks on the Melnikov function.
Some remarks on the strong limit-point condition of second-order linear differential expressions
Some remarks on the terminal value problem in hereditary setting
Some remarks on three-point and four-point bvp's for second-order nonlinear differential equations.
Some remarks to numerical solution of the Euler and Navier-Stokes equation
Some results about multiplicity and bifurcation of stationary solutions of a reaction diffusion climatological model.
In this survey we collect several results concerning S-type bifurcation curves for the number of solutions of reaction-diffusion stationary equations. In particular, we recall several results in the literature for the case of stationary energy balance models.
Some results about the pseudospectral approximation of one-dimensional fourth-order problems.
Some results concerning second and third order neutral delay differential equations with piecewise constant argument
Some results for fractional impulsive boundary value problems on infinite intervals
In this paper, we consider a fractional impulsive boundary value problem on infinite intervals. We obtain the existence, uniqueness and computational method of unbounded positive solutions.