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Recent Publications

Department No.26

1.      Ivasyshen S.D., Medynsky I.P. Properties of integrals which have the type of deri­vatives of volume potentials for parabolic systems with degeneration on the initial hyperplane // Мат. студії. – 2000. – Т. 13, № 1. – С. 33-46.

2.      Eidelman S.D., Ivasyshen S.D. On solutions of parabolic equations from families of Banach spaces dependent on time // Operator theory: Advances and applica­tions. – Basel / Switzerland: Birkhäuser. – 2000. – Vol. 117. – P. 111-117.

3.      Eidelman S.D., Ivasyshen S.D., Kochubei A.N. Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic Type –Birkhäuser Verlag, 2004. – 390 p.

4.      Kmit I. Delta waves for a strongly singular initial-boundary hyperbolic problem with integral boundary condition // Journal of Analysis and its Applications. – 2005. – T. 24, № 1, Р. 29-74.

5.      Grohe M., Verbitsky O. Testing graph isomorphism in parallel by playing a game // Automata, Languages and Programming. - Lecture Notes in Computer Science. – 2006. – Vol. 4051. – P. 3-14.

6.      Kmit I. Generalized solutions to singular initial-boundary hyperbolic problems with nonLipschitz nonlinearities // Bulletin de l’Academie serbe des sciences et des arts, Classe des sciences mathematiques et naturelles, sciences mathematiques. – 2006. – Vol. 133, 31. – P. 87-99.

7.      Kmit I. Generalized solutions to hyperbolic systems with nonlinear conditions and strongly singular data // Integral Transforms and Special Functions. – 2006. – Vol. 17, № 2-3. – P. 177-183.

8.      Pikhurko O., Spenser J., Verbitsky O. Succinct definitions in the first order theory of graphs // Annals of Pure and Applied Logic. – 2006.– Vol. 139. – P. 74-109.

9.      Pikhurko O., Veith H., Verbitsky O. The first order definability of graphs: upper bounds for quantifier depth // Discrete Applied Mathematics. – 2006. – Vol. 154, № 17. – P. 2511-2529.

10.  Kmit I., Recke L. Fredholm Alternative for periodic-Dirichlet problems for linear hyperbolic systems // Journal of Mathematical Analysis and Applications. – 2007. – 20 pages. – doi: http: // dx.doi.org / 10.1016 / j.jmaa. 2007.01.055 (in press).