-bounded semigroups and implicit evolution equations.
Bäcklund transformations for first and second Painlevé hierarchies.
Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem.
Bacteriophage Infection Dynamics: Multiple Host Binding Sites
We construct a stochastic model of bacteriophage parasitism of a host bacteria that accounts for demographic stochasticity of host and parasite and allows for multiple bacteriophage adsorption to host. We analyze the associated deterministic model, identifying the basic reproductive number for phage proliferation, showing that host and phage persist when it exceeds unity, and establishing that the distribution of adsorbed phage on a host is binomial with slowly evolving mean. Not surprisingly,...
Banach function spaces and exponential instability of evolution families
In this paper we give necessary and sufficient conditions for uniform exponential instability of evolution families in Banach spaces, in terms of Banach function spaces. Versions of some well-known theorems due to Datko, Neerven, Rolewicz and Zabczyk, are obtained for the case of uniform exponential instability of evolution families.
Banach spaces
Banded matrices and discrete Sturm-Liouville eigenvalue problems.
Bargmann-type inequality for half-linear differential operators.
Basic algebro-geometric conceps in the study of planar polynomial vector fields.
In this work we show that basic algebro-geometric concepts such as the concept of intersection multiplicity of projective curves at a point in the complex projective plane, are needed in the study of planar polynomial vector fields and in particular in summing up the information supplied by bifurcation diagrams of global families of polynomial systems. Algebro-geometric concepts are helpful in organizing and unifying in more intrinsic ways this information.
Basic regularity of the minima of variational integrals
Basic topological structures of the theory of ordinary differential equations
Basis properties of a fourth order differential operator with spectral parameter in the boundary condition
We consider a fourth order eigenvalue problem containing a spectral parameter both in the equation and in the boundary condition. The oscillation properties of eigenfunctions are studied and asymptotic formulae for eigenvalues and eigenfunctions are deduced. The basis properties in L p(0; l); p ∈ (1;∞); of the system of eigenfunctions are investigated.
Basis properties of eigenfunctions of nonlinear Sturm-Liouville problems.
Bautin bifurgation of a modified generalized Van der Pol-Mathieu equation
The modified generalized Van der Pol-Mathieu equation is generalization of the equation that is investigated by authors Momeni et al. (2007), Veerman and Verhulst (2009) and Kadeřábek (2012). In this article the Bautin bifurcation of the autonomous system associated with the modified generalized Van der Pol-Mathieu equation has been proved. The existence of limit cycles is studied and the Lyapunov quantities of the autonomous system associated with the modified Van der Pol-Mathieu equation are computed....
B-Convergence of Lobatto IIIC Formulas.
B-Convergence Properties of Defect Correction Methods. I.
B-Convergence Properties of Defect Correction Methods. II.
Bedingungen der Nicht-Oszillationsfähigkeit und der Oszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung
Bedingungen für die Existenz oszillatorischer Lösungen der Gleichung ,
Behavior at infinity of psi-evanescent solutions to linear differential equations.