Verallgemeinerungen eines Satzes von Leighton über die Oszillation selbstadjungierter Differentialgleichungen
Vergleichssatz für die Lösungen linearer Differential-Ungleichungen
Vergleichssätze für Komplexe Lineare Differentialgleichungen 2. Ordnung
Versal deformations of -invariant 2-parameter families of planar vector fields
The paper deals with 2-parameter families of planar vector fields which are invariant under the group for q ≥ 3. The germs at z = 0 of such families are studied and versal families are found. We also give the phase portraits of the versal families.
Viscous profiles for traveling waves of scalar balance laws: The uniformly hyperbolic case.
Volume Filling Effect in Modelling Chemotaxis
The oriented movement of biological cells or organisms in response to a chemical gradient is called chemotaxis. The most interesting situation related to self-organization phenomenon takes place when the cells detect and response to a chemical which is secreted by themselves. Since pioneering works of Patlak (1953) and Keller and Segel (1970) many particularized models have been proposed to describe the aggregation phase of this process. Most of...
V-монотонные системы и почти-периодические решения
Wachstumsordnung und Index der Lösungen linearer Differentialgleichungen mit rationalen Koeffizienten.
Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations
The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.
Weak almost periodic and optimal mild solutions of fractional evolution equations.
Weakly almost periodic solutions of linear equations in Banach spaces
Weighted -asymptotically -periodic solutions of a class of fractional differential equations.
What do Multistep Methods Approximate?
When singular points determine quadratic systems.
Wirtinger inequality and nonlinear differential systems
Picone identity for a class of nonlinear differential equations is established and various qualitative results (such as Wirtinger-type inequality and the existence of zeros of first components of solutions) are obtained with the help of this new formula.
Wrapped eigenstructure of chaos
Wronskians and subspaces of certain fourth order differential equations.
Zero convergent solutions for a class of -Laplacian systems
Zero Dissipative DIRKN Pairs of Order 5(4) for Solving Special Second Order IVPs
For initial value problem (IVPs) in ordinary second order differential equations of the special form possessing oscillating solutions, diagonally implicit Runge–Kutta–Nystrom (DIRKN) formula-pairs of orders 5(4) in 5-stages are derived in this paper. The method is zero dissipative, thus it possesses a non-empty interval of periodicity. Some numerical results are presented to show the applicability of the new method compared with existing Runge–Kutta (RK) method applied to the problem reduced to...
Zeros of the Polynomial Solutions of the Differential Equation