Dichotomies for differential and integral equations

Abstract The iterative fixed points have numerous applications in locating the solution of some real-life problems which can be modelled into linear as well as nonlinear differential and integral equations. In this manuscript, first of all, a new iterative scheme namely Modified CUIA iterative scheme is introduced. We first prove a theorem to check the convergence of this iteration for Hyperbolic Convex metric space. The result is then supported with one example. Further, another theorem is proved establishing the weak T stability of modified CUIA iterative scheme on the above space.

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Introduction Ill-Posedness of Inverse Problems for Differential and Integral Equations

Introduction to Inverse Problems for Differential Equations ◽

10.1007/978-3-319-62797-7_1 ◽

2017 ◽

pp. 1-19

Author(s):

Alemdar Hasanov Hasanoğlu ◽

Vladimir G. Romanov

Keyword(s):

Inverse Problems ◽

Integral Equations ◽

Differential And Integral Equations

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Mathematical machine usage in medical information systems

SCIENTIFIC WORK ◽

10.36719/2663-4619/65/75-85 ◽

2021 ◽

Vol 65 (04) ◽

pp. 75-85

Author(s):

İradə Hətəm qızı Mirzəzadə ◽

◽

Gülçin Gülhüseyn qızı Abdullayeva ◽

Həsənağa Rauf oğlu Nağızadə ◽

◽

...

Keyword(s):

Mathematical Model ◽

Integral Equations ◽

Medical Information ◽

Simple Approach ◽

Bayes Method ◽

Medical Information Systems ◽

Nonlinear Algebra ◽

Artifical Neural Networks ◽

Mathematical Machine ◽

Differential And Integral Equations

Biosystem of the human body is viewed as a whole. First of all adequate mathematical machine selection and class of biosystems needs to be assigned for creation of mathematical model of biological system. Biosystem has two types of appoach. One of them is supposed to be a simple approach, the other is likely to be very complex – indexed approach. Different biosystems with determination properties are usually described by differential and integral equations, linear and nonlinear algebra. In some cases, algebraic polynoms with timed argument are used for presenting determined biosystem dynamics. Adequate mathematical modeling machine, probability theory, Markov and random processes theory and the laws are applied for the description of likely characterized biosystems. Key words: biosystem, biocybernetic issues, differential and integral equations, mathematical model, Markov chains, Bayes method, artifical neural networks

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