### Pliska Studia Mathematica

**Volume 29, 2018**

Proceedings of the Fourth International conference
New Trends of the Applications of Differential Equations in Sciences (NTADES 2017)

Financial support by the project DPMNF 01/9

GUEST EDITOR: A. Slavova

Sofia, 2018

#### C O N T E N T S

**Slavova, A. **Preface (pp. 3−6)

*Plenary Lectures*

**Domoshnitsky, A.** Nonoscillation, asymptotic properties
and stability of second order delay
differential equations (pp. 9−10)
**Georgiev, V., F. P. Maiale.** Critical points of Dirac functional with broken symmetry (pp. 11−20)
**Tetzlaff, R., A. Ascoli, D. Baumann, M. Hild, L. O. Chua.** Adaptive computing by memristor circuits (pp. 21−22)

*Contributed Talks*

**Bilal, S., T. Donchev, K. Haider, N. Kitanov, D. Kolev.** Semilinear differential inclusions in Banach spaces (pp. 25−36)
**Boyadzhiev, G., N. Kutev.** Maximum principle for weakly coupled linear non-cooperative systems (pp. 37−46)
**Glizer, V. Y., O. Kelis.** Singular infinite horizon linear-quadratic optimal control problem for systems with known disturbances: a regularization approach (pp. 47−56)
**Kutev, N., N. Kolkovska, M. Dimova.** Necessary and sufficient condition for finite time blow up of the solutions to sixth order double dispersive equations (pp. 57−68)
**Kyurkchiev, N.** A family of recurrence generated
parametric functions based on
Volmer-Weber-Kaishew activation function (pp. 69−80)
**Marinov, M., T. Rangelov, P. Dineva.** Dynamic fracture of a nano-crack in finite exponentially inhomogeneous piezoelectric solid (pp. 81−92)
**Mauro, J. A.** Partial regularity of Hopf weak solutions of the Navier-Stokes equations, which satisfy a suitable extra-condition (pp. 93−108)
**Mochimaru, Y.** Vibration of dry ice placed on a metallic structure (pp. 109−116)
**Rozanova, O.** Effects of time rescaling for the gas dynamics
equations (pp. 117−126)
**Slavova, A., G. Bobeva.** Edge of chaos in reaction-diffusion CNN models (pp. 127−138)
**Slavova, A., R. Tetzlaff, M. Markova.** Local activity in memristor-based chaotic system model (pp. 139−150)
**Tarulli, M., G. Venkov.** A fractional inequality on compact manifolds and Lie groups (pp. 151−158)
**Tinchev, V. K.** On the common points of two families of N-spheres in the flat N+1 dimensional space, each of which passes through the vertexes of a given N-simplex (pp. 159−178)
**Valchev, T., A. Yanovski.** New reductions of a matrix generalized Heisenberg ferromagnet
equation (pp. 179−188)