Mathematical Control Systems and Analysis

In this work, we are concerned with the investigation of the qualitative behaviors of certain systems of non-linear differential equations of second order. We make a comparison between applications of the integral test and Lyapunov’s function approach on some recent stability and boundedness results in the literature.…

• CEMİL TUNÇ

In this work, we are concerned with the investigation of the qualitative behaviors of certain systems of non-linear differential equations of second order. We make a comparison between applications of the integral test and Lyapunov’s function approach on some recent stability and boundedness results in the literature.…

• CEMİL TUNÇ
• OSMAN TUNÇ

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• EMRAH AKYAR

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• HAKKI ULAŞ ÜNAL

Abstract In this work, soft covered ideals in semigroups are constructed and in this concept, soft covered semigroups, soft covered left (right) ideals, soft covered interior ideals, soft covered (generalized) bi-ideals and soft covered quasi ideals of a semigroup are defined. Various properties of these ideals are in…

• ASLIHAN SEZGİN
• ŞERİF ÖZLÜ

A comparative analysis of such methods of defuzzification of fuzzy numbers as WABL (Weighted Averaging Based on Levels), centroid, and mean of maxima (MOM) is presented in the study. Analytic formulas are presented for calculating the defuzzification values for parametrically represented fuzzy numbers of triangular an…

By use of the necessary calculus and the fundamental existence theory for dynamic systems on time scales, in this paper, we develop Lyapunov′s second method in the framework of general comparison principle so that one can cover and include several stability results for both types of equations at the same time.

• BİLLUR KAYMAKÇALAN

Soft set theory, developed by Molodtsov, has been applied both theoretically and practically in many fields. It is a useful mathematical tool for handling uncertainty. Numerous variations of soft set operations, which is a crucial concept for the theory, have been described and used since its introduction. In this pap…

• ASLIHAN SEZGİN

The existence and uniqueness of unpredictable solutions in the dynamics of nonhomogeneous linear systems of differential and discrete equations are investigated. The hyperbolic cases are under discussion. The presence of unpredictable solutions confirms the existence of Poincaré chaos. Simulations illustrating the cha…

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• İBRAHİM ALIŞKAN

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• BÜNYAMİN DEMİR

Since its beginnings, soft set theory has shown to be a useful mathematical framework for addressing problems involving uncertainty, proving its usefulness in a variety of academic and practical disciplines. The operations of soft sets are at the very core concept of this theory. In this regard, a new kind of soft set…

• ASLIHAN SEZGİN