A note on semi-steady states in stochastic cellular automata. - In: Autonomous systems: developments and trends, (2011), S. 313-323
Cohabitation of independent sets and dominating sets in trees. - In: Utilitas mathematica, ISSN 0315-3681, Bd. 85 (2011), S. 299-308
Indirect sampled-data control with sampling period adaptation. - In: International journal of control, ISSN 1366-5820, Bd. 84 (2011), 2, S. 424-431
http://dx.doi.org/10.1080/00207179.2011.557782
Isolas of 2-pulse solutions in homoclinic snaking scenarios. - In: Journal of dynamics and differential equations, ISSN 1572-9222, Bd. 23 (2011), 1, S. 93-114
http://dx.doi.org/10.1007/s10884-010-9195-9
Upper bounds on the sum of powers of the degrees of a simple planar graph. - In: Journal of graph theory, ISSN 1097-0118, Bd. 67 (2011), 2, S. 112-123
https://doi.org/10.1002/jgt.20519
Minors in graphs with high chromatic number. - In: Combinatorics, probability & computing, ISSN 1469-2163, Bd. 20 (2011), 4, S. 513-518
https://doi.org/10.1017/S0963548311000174
Exponential stability of time-varying linear systems. - In: IMA journal of numerical analysis, ISSN 1464-3642, Bd. 31 (2011), 3, S. 865-885
http://www.dx.doi.org/10.1093/imanum/drq002
Local definitizability of T [*]T and TT[*]. - In: Integral equations and operator theory, ISSN 1420-8989, Bd. 71 (2011), 4, S. 491-508
http://dx.doi.org/10.1007/s00020-011-1913-0
Effective schema for the rigorous modeling of grating diffraction with focused beams. - In: Applied optics, ISSN 2155-3165, Bd. 50 (2011), 16, S. 2474-2483
https://doi.org/10.1364/AO.50.002474
Eigenvalue estimates for singular left-definite Sturm-Liouville operators. - In: Journal of spectral theory, ISSN 1664-0403, Bd. 1 (2011), 3, S. 327-347
The spectral properties of a singular left-definite Sturm-Liouville operator $JA$ are investigated and described via the properties of the corresponding right-definite selfadjoint counterpart $A$ which is obtained by substituting the indefinite weight function by its absolute value. The spectrum of the $J$-selfadjoint operator $JA$ is real and it follows that an interval $(a,b)\subset\dR^+$ is a gap in the essential spectrum of $A$ if and only if both intervals $(-b,-a)$ and $(a,b)$ are gaps in the essential spectrum of the $J$-selfadjoint operator $JA$. As one of the main results it is shown that the number of eigenvalues of $JA$ in $(-b,-a) \cup (a,b)$ differs at most by three of the number of eigenvalues of $A$ in the gap $(a,b)$; as a byproduct results on the accumulation of eigenvalues of singular left-definite Sturm-Liouville operators are obtained. Furthermore, left-definite problems with symmetric and periodic coefficients are treated, and several examples are included to illustrate the general results.
https://doi.org/10.4171/JST/14