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.
New results on asymptotic behavior of solutions of certain third-order nonlinear differential equations
New results on periodic solutions for a kind of Rayleigh equation
The paper deals with the existence of periodic solutions for a kind of non-autonomous time-delay Rayleigh equation. With the continuation theorem of the coincidence degree and a priori estimates, some new results on the existence of periodic solutions for this kind of Rayleigh equation are established.
New results on the nonoscillation of solutions of some nonlinear differential equations of third order.
New spectral criteria for almost periodic solutions of evolution equations
We present a general spectral decomposition technique for bounded solutions to inhomogeneous linear periodic evolution equations of the form ẋ = A(t)x + f(t) (*), with f having precompact range, which is then applied to find new spectral criteria for the existence of almost periodic solutions with specific spectral properties in the resonant case where may intersect the spectrum of the monodromy operator P of (*) (here sp(f) denotes the Carleman spectrum of f). We show that if (*) has a bounded...
New sufficient conditions for a center and global phase portraits for polynomial systems.
In this paper we consider cubic polynomial systems of the form: x' = y + P(x, y), y' = −x + Q(x, y), where P and Q are polynomials of degree 3 without linear part. If M(x, y) is an integrating factor of the system, we propose its reciprocal V (x, y) = 1 / M(x,y) as a linear function of certain coefficients of the system. We find in this way several new sets of sufficient conditions for a center. The resulting integrating factors are of Darboux type and the first integrals are in the Liouville form.By...
Nichteuklidischer Nullstellenabstand der Lösungen von w'' + p(z)w = 0.
Nichtoszillatorische lineare Differentialgleichungen 2. Ordnung
Nichtoszillatorische und oszillatorische Differentialgleichungen dritter Ordnung
Niektoré vlastnosti diferenciálnej rovnice