Nachweis periodischer Lösungen in nichtautonomen Systemen mit Hilfe des Brouwerschen Fixpunktsatzes
Natural and artificially controlled connections among steady states of a climate model.
Necessary and sufficient conditions for bounded oscillations of higher order delay differential equations of Euler's type
Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays.
Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations
Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations.
Necessary and sufficient conditions for oscillation of delay equations with constant coefficients
Necessary and sufficient conditions for oscillation of neutral equation
Necessary and sufficient conditions for oscillation of second-order differential equations with nonpositive neutral coefficients
In this work, we present necessary and sufficient conditions for oscillation of all solutions of a second-order functional differential equation of type where . Under the assumption , we consider two cases when and . Our main tool is Lebesgue’s dominated convergence theorem. Finally, we provide examples illustrating our results and state an open problem.
Necessary and sufficient conditions for the oscillation a third-order differential equation.
Nehari functions and rates of growth of the Poincaré density.
Některé vlastnosti nelineárních obvodu a fyzikální význam jakobiánu
Nelineární vynucené oscilace
New criteria for the existence of periodic and almost periodic solutions for some evolution equations in Banach spaces.
New examples of holomorphic foliations without algebraic leaves
We present a series of polynomial planar vector fields without algebraic invariant curves in .
New existence results of anti-periodic solutions of nonlinear impulsive functional differential equations
This paper is a continuation of Y. Liu, Anti-periodic solutions of nonlinear first order impulsive functional differential equations, Math. Slovaca 62 (2012), 695–720. By using Schaefer's fixed point theorem, new existence results on anti-periodic solutions of a class of nonlinear impulsive functional differential equations are established. The techniques to get the priori estimates of the possible solutions of the mentioned equations are different from those used in known papers. An example is...
New oscillation criteria for first order nonlinear delay differential equations
New oscillation criteria are obtained for all solutions of a class of first order nonlinear delay differential equations. Our results extend and improve the results recently obtained by Li and Kuang [7]. Some examples are given to demonstrate the advantage of our results over those in [7].
New result in the ultimate boundedness of solutions of a third-order nonlinear ordinary differential equation.
New result on the ultimate boundedness of solutions of certain third-order vector differential equations
Sufficient conditions are established for ultimate boundedness of solutions of certain nonlinear vector differential equations of third-order. Our result improves on Tunc’s [C. Tunc, On the stability and boundedness of solutions of nonlinear vector differential equations of third order].
New results of a class of two-neuron networks with time-varying delays.