Maximum principle for functional equations in the space of discontinuous functions of three variables

Abstract In this paper, we investigate the general solution and the generalized stability for the quartic, cubic and additive functional equation (briefly, QCA-functional equation) for any k∈ℤ-{0,±1} in Menger probabilistic normed spaces.

Download Full-text

A New Discrete Anologue of Pontryagin’s Maximum Principle

Доклады Академии наук ◽

10.31857/s086956520003401-4 ◽

2018 ◽

Vol 483 (1) ◽

pp. 15-18

Author(s):

M. Mardanov ◽

◽

T. Melikov ◽

Keyword(s):

Maximum Principle ◽

Pontryagin’S Maximum Principle ◽

Pontryagin's Maximum Principle

Download Full-text

Identities related to special polynomials and combinatorial numbers

Filomat ◽

10.2298/fil1715833y ◽

2017 ◽

Vol 31 (15) ◽

pp. 4833-4844 ◽

Cited By ~ 2

Author(s):

Eda Yuluklu ◽

Yilmaz Simsek ◽

Takao Komatsu

Keyword(s):

Generating Functions ◽

Functional Equations ◽

Stirling Numbers ◽

Bernoulli Numbers ◽

Euler Numbers ◽

Special Polynomials ◽

Central Factorial Numbers

The aim of this paper is to give some new identities and relations related to the some families of special numbers such as the Bernoulli numbers, the Euler numbers, the Stirling numbers of the first and second kinds, the central factorial numbers and also the numbers y1(n,k,?) and y2(n,k,?) which are given Simsek [31]. Our method is related to the functional equations of the generating functions and the fermionic and bosonic p-adic Volkenborn integral on Zp. Finally, we give remarks and comments on our results.

Download Full-text

Dynamics Response Control of a Mindlin-Type Beam

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455417500390 ◽

2017 ◽

Vol 17 (03) ◽

pp. 1750039 ◽

Cited By ~ 1

Author(s):

Kenan Yildirim ◽

Seda G. Korpeoglu ◽

Ismail Kucuk

Keyword(s):

Optimal Control ◽

Partial Differential Equations ◽

Maximum Principle ◽

Control Problem ◽

Control Function ◽

Initial Boundary ◽

Response Control ◽

Adjoint Variables ◽

Dynamics Response ◽

Optimal Control Function

Optimal boundary control for damping the vibrations in a Mindlin-type beam is considered. Wellposedness and controllability of the system are investigated. A maximum principle is introduced and optimal control function is obtained by means of maximum principle. Also, by using maximum principle, control problem is reduced to solving a system of partial differential equations including state, adjoint variables, which are subject to initial, boundary and terminal conditions. The solution of the system is obtained by using MATLAB. Numerical results are presented in table and graphical forms.

Download Full-text