Vadim Kostrykin, Anna Oleynik, An intermediate value theorem for monotone operators in ordered Banach spaces, Fixed Point Theory and Applications 2012, 2012:211. DOI: 10.1186/1687-1812-2012-211. Preprint arXiv:1203.3068 [math.FA] (2012).
Amru Hussein, Vadim Kostrykin, David Krejcirik, Stephan Schmitz, The div(A grad) operator without ellipticity. Self-adjointness and spectrum, erscheint in Oberwolfach Reports "Geometric Aspects of Spectral Theory", 2012.
Vadim Kostrykin, Anna Oleynik, On the existence of unstable bumps in neural networks, Integral Equations and Operator Theory 75 (2013), 445-458. DOI: 10.1007/s00020-013-2045-5. Preprint arXiv:1112.2941 [math.DS] (2011).
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader, Finite propagation speed for solutions of the wave equation on the metric graphs, J. Funct. Anal. 263 (2012), 1198–1223. DOI: 10.1016/j.jfa.2012.06.005. Preprint arXiv:1106.0817 [math-ph] (2011).
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader, Brownian motions on metric graphs, J. Math. Phys. 53, 095206 (2012). DOI: S0025579312000125. Preprint arXiv:1102.4937 [math.PR] (2011).
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader, A note on Feller semigroups and resolvents, Preprint arXiv:1102.3979 [math.PR] (2011).
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader, Brownian motions on metric graphs III - Construction: General metric graphs, Preprint arXiv:1012.0739 [math.PR] (2010).
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader, Brownian motions on metric graphs II - Construction of Brownian motions on single vertex graphs, Preprint arXiv:1012.0737 [math.PR] (2010).
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader, Brownian motions on metric graphs I - Definition, Feller property, and generators, Preprint arXiv:1012.0733 [math.PR] (2010).
Vadim Kostrykin, Jurgen Potthoff, Robert Schrader, Brownian motions on metric graphs: Feller Brownian motions on intervals revisited, Preprint arXiv:1008.3761 [math.PR] (2010).
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov, Krešimir Veselić, The TAN 2Θ Theorem for indefinite quadratic forms, J. Spectr. Theory 3 (2013) 83 - 100. DOI: 10.4171/JST/38. Preprint arXiv:1006.3190 [math.SP] (2010).
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov, Krešimir Veselić, Representation theorems for indefinite quadratic forms revisited, Mathematika 59 (2013) 169 - 189. DOI: 10.1112/S0025579312000125. Preprint arXiv:1003.1908 [math.FA] (2010).
Luka Grubišić, Vadim Kostrykin, Konstantin A. Makarov, Krešimir Veselić, 2 × 2 matrices, quadratic forms, and representation theorems, in Oberwolfach Reports, Report No. 55/2009, "Modeling and Understanding Random Hamiltonians: Beyond Monotonicity, Linearity and Independence", pp. 2988 - 2989. DOI: 10.4171/OWR/2009/55