Effect of nonlinear perturbations on second order linear nonoscillatory differential equations.
Effect of randomly fluctuating environment on autotroph-herbivore model system.
Effective Computation of Periodic Orbits and Bifurcation Diagrams in Delay Equations.
Effective computation of the first Lyapunov quantities for a planar differential equation
We take advantage of the complex structure to compute in a short way and without using any computer algebra system the Lyapunov quantities and for a general smooth planar system.
Eigenvalues of the -Laplacian and disconjugacy criteria.
Eighty fifth anniversary of birthday and scientific legacy of Professor Miloš Ráb
The paper is concentrated on Professor Miloš Ráb and his contribution to the theory of oscillatory properties of solutions of second and third order linear differential equations, the theory of differential equations with complex coefficients and dynamical systems, and the theory of nonlinear second order differential equations. At the beginning, we take a brief look at the most important moments in his life. Afterwards, we describe his scientific activities on mentioned theories.
Eine Äquivalenzrelation in der Kategorie der Phasenfunktionen
Eine Bemerkung zur sich selbst begleitenden Differentialgleichung
Einige Bemerkungen über die Nullstellen im zweidimensionalen Raum stetiger Funktionen
Einige Bemerkungen über eine nichtlineare Differentialgleichung dritter Ordnung
Einige Bemerkungen über Nullpunkte im bestimmten dreidimensionalen Raume stetiger Funktionen
Einige Eigenschaften der verallgemeinerten Polarfunktion und der Radonschen Funktion
Einige oszillatorische Eigenschaften der Lösungen der Differentialgleichung dritter Ordnung
EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit
In this paper, dual synchronization of a hybrid system containing a chaotic Colpitts circuit and a Chua’s circuit, connected by an additive white Gaussian noise (AWGN) channel, is studied via numeric simulations. The extended Kalman filter (EKF) is employed as the response system to achieve the dual synchronization. Two methods are proposed and investigated. The first method treats the combination of a Colpitts circuit and a Chua’s circuit as a higher- dimensional system, while the second method...
Elliptic equations with decreasing nonlinearity I: barrier method for decreasing solutions
Elliptic equations with decreasing nonlinearity II: radial solutions for singular equations
Enclosing solutions of second order equations
We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.
Endogenous oscillations in a discrete dynamic model with inventory.
Energy decay estimates for Lienard's equation with quadratic viscous feedback.
Enrichment Paradox Induced by Spatial Heterogeneity in a Phytoplankton - Zooplankton System
This paper is devoted to the study of a predator-prey model in a patchy environment. The model represents the interactions between phytoplankton and zooplankton in the water column. Two patches are considered with respect to light availability: one patch is associated to the surface layer, the second patch describes the bottom layer. We show that this spatial heterogeneity may destabilize the predator-prey system, even in oligotrophic system where the nutrient is low enough to avoid ”paradox-enrichment”...