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Complex homogeneous differential equation of first and second order through iterations
The theory of complex differential equations represents an important mathematical discipline both from the theoretical point of view and from numerous applications. Its development was equally encouraged by mathematicians, ...
Number of zero solutions of some canonical complex differential equations of second order with variable coefficient
By solving the frequency function equation only a small number of complex equations of the second order oscillations can be solved. The simplest way is to observe canonical complex differential equations with constant ...
New results on F-contractions in complete metric spaces
(MDPI (Basel, Switzerland), 2021-12-21)
The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use ...
The second mean value theorem for complex line integral
In real iterations, several types of mean value theorems for definite integrals are used. In complex domain, we cannot specifically formulate the mean value theorem of a particular complex line integral (L) ∫f(z)dz , since ...
Two Interval Upper-Bound Q-Function Approximations with Applications
(Mathematics and computer sciences, 2022-10-10)
The Gaussian Q-function has considerable applications in numerous areas of science and engineering. However, the fact that a closed-form expression for this function does not exist encourages finding approximations or ...
System Maintenance Decision Making Based on Repair Rate Statistics
This paper presents a novel approach for estimation of repair rate in an observed system comprised of two or more components. The presented approach is based on calculation of probability density function of maximal and ...
Hybrid modification of accelerated double direction method
(Hindawi, 2018-11-06)
We present a hybridization of the accelerated gradient method with two vector directions. This hybridization is based on the usage of a chosen three-term hybrid model. Derived hybrid accelerated double direction model keeps ...