Mühendislik Fakültesi / Faculty of Engineering

Permanent URI for this collectionhttps://hdl.handle.net/11727/1401

Browse

Filters

2017 - 20192

Settings

Has files: NoSubject: search.filters.subject.bunch of functions

Search Results

Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    On the Numerical Solution of Linear Differential Equations with Interval Coefficients
    (2017) Gasilov, N. A.; Amrahov, S. E.; https://orcid.org/0000-0001-7747-5467; AEN-1756-2022; AAF-3339-2020
    In this study, we consider Initial Value Problem (IVP) for a linear differential equation with interval coefficients. The initial values of the problem are taken as intervals, too. We interpret the interval IVP as a set of classical IVPs, and we investigate the bunch (set) of their solutions. We define this bunch to be the solution of the interval IVP. We develop a numerical method to find the upper and lower bounds of the solution bunch. We apply the method to an example and illustrate the solution.
  • No Thumbnail Available
    Item
    On differential equations with interval coefficients
    (2019) Gasilov, Nizami A.; Amrahov, Sahin Emrah; AAN-9386-2020
    In this study, a new approach is developed to solve the initial value problem for interval linear differential equations. In the considered problem, the coefficients and the initial values are constant intervals. In the developed approach, there is no need to define a derivative for interval-valued functions. All derivatives used in the approach are classical derivatives of real functions. The reason for this is that the solution of the problem is defined as a bunch of real functions. Such a solution concept is compatible also with the robust stability concept. Sufficient conditions are provided for the solution to be expressed analytically. In addition, on a numerical example, the solution obtained by the proposed approach is compared with the solution obtained by the generalized Hukuhara differentiability. It is shown that the proposed approach gives a new type of solution. The main advantage of the proposed approach is that the solution to the considered interval initial value problem exists and is unique, as in the real case.