Preface.- Part I, 85th Birthday Lecture: J. Kisynski, Topologies in the Set of Rapidly Decreasing Distributions.- Part II, Theory: Y. A. Butko, The method of Chernoff approximation.- A. Hussein and Delio Mugnolo, Laplacians with point interactions – expected and unexpected spectral properties.- S. Kosowicz, Remarks on characterization of generators of bounded C0-semigroups.- S. Trostorff , Semigroups associated with differential-algebraic equations.- S. A. Zagrebina and N. N. Solovyova, Positive degenerate holomorphic groups of the operators and their applications.- Part III, Applications: B. Andreianov and M. D. Rosini, Microscopic selection of solutions to scalar conservation laws with discontinuous flux in the context of vehicular traffic.- A. Bartlomiejczyk and M. Wrzosek, Newton’s method for the McKendrick-von Foerster equation.- M. Bongarti, S. Charoenphon and I. Lasiecka, Singular thermal relaxation limit for the Moore-Gibson-Thompson equation arising in propagation of acoustic waves.- R. Brodnicka and H. Gacki, Applications of the Kantorovich-Rubinstein maximum principle in the theory of Boltzmann equations.- E. V. Bychkov, Propagators of the Sobolev Equations.- G. Ruiz Goldstein, J. A. Goldstein, D. Guidetti and S. Romanelli, The Fourth Order Wentzell Heat Equation.- P. Kalita, G. Lukaszewicz, and J. Siemianowski, Nonlinear semigrous and their perturbations in hydrodynamics. Three examples.- A. Karpowicz and H. Leszczynski, Method of lines for a kinetic equation of swarm formation.- A. V. Keller and M. A. Sagadeeva, Degenerate Matrix Groups and Degenerate Matrix Flows in Solving the Optimal Control Problem for Dynamic Balance Models of the Economy.- O. G. Kitaeva, D. E. Shafranov and G. A. Sviridyuk, Degenerate holomorphic semigroups of operators in spaces of K-”noises” on Riemannian manifolds.- A. C.S. Ng, Optimal energy decay in a one-dimensional wave-heat-wave system.- Wha-Suck Lee and C. Le Roux, Implicit convolution Fokker-Planck equations: Extended Feller convolution.- K. Pichór, R. Rudnicki, Asymptotic properties of stochastic semigroups with applications to piecewise deterministic Markov processes.- L. Paunonen, On Polynomial Stability of Coupled Partial Differential Equations in 1D.- K. V. Vasiuchkova, N. A. Manakova and G. A. Sviridyuk, Degenerate Nonlinear Semigroups of Operators and Their Applications.- R. Triggiani, Sharp Interior and Boundary Regularity of the SMGTJ-equation with Dirichlet or Neumann Boundary Control.- A. A. Zamyshlyaeva and A. V. Lut, Inverse Problem for The Boussinesq – Love Mathematical Model.- A. A. Zamyshlyaeva, O. N. Tsyplenkova, Optimal control of solutions to Showalter –Sidorov problem for a high order Sobolev type equation with additive ”noise”.