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Existence of Solution of Nonlinear Functional Integral Equation Via Measure of Non-Compactness

The aim of this chapter is to present the existence result for solution of nonlinear Volterra-Hammerstein-Fredholm integral equation (in short VHFIE) under some conditions. The main tools are Darbo’s fixed point theorem involving measure of noncompactness for investigating the existence of solution of nonlinear Volterra-Hammerstein-Fredholm integral equation. An application and illustrative example of Volterra-Hammerstein-Fredholm integral…
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Editor 2PressRelease February 24, 2020 0

On the Domination Conditions for Families of Quasinearly Subharmonic Functions

Domar has given a condition that ensures the existence of the largest subharmonic minorant of a given function. Later Rippon pointed out that a modification of Domar’s argument gives in fact a better result. Using our previous, rather general and flexible modifications of Domar’s original argument, we extend their results both to the subharmonic and…
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Editor 2PressRelease February 24, 2020 0

Convergence of Locally Square Integrable Martingales to a Continuous Local Martingale

Author(s) Details Andriy Yurachkivsky Department of Operations Research, Faculty of Computer Science and Cybernetics, Taras Shevchenko National University, Kyiv, Ukraine Read full Book: http://bp.bookpi.org/index.php/bpi/catalog/book/137

Editor 2PressRelease February 8, 2020 0

Oscillatory Blood Flow in Bifurcating Capillaries

Oscillatory blood flow in bifurcating capillaries is examined. The governing nonlinear and coupled equations expressed in the form of the Boussinesq approximations are solved by the method of perturbation series expansions. Solutions for the concentration, temperature and velocity are obtained, and presented quantitatively using Malple 18 computational software. The results show that the rate of…
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Editor 2PressRelease January 6, 2020 0

Differential Subordinations for Non-analytic Functions

In paper [1], Petru T. Mocanu has obtained suﬃcient conditions for a function in the classes C1 (U), respectively C2 (U) to be univalent and to map U onto a domain which is starlike (with respect to origin), respectively convex. Those conditions are similar to those in the analytic case. In paper [2], Petru T.…
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Editor 2PressRelease January 6, 2020 0

Homfly Polynomial of Knotted Trivalent Plane Graphs

We study the Homfly polynomial of periodic knotted trivalent plane graphs introduced in [1]. We show how periodicity of a knotted trivalent plane graphs is reflected in this polynomial. In particular, we derive congruences of periodic knotted trivalent plane graphs in terms of this polynomial invariant. These congruences yield criteria for periodicity of knotted trivalent…
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Editor 2PressRelease January 6, 2020 0

Computation of Partial Derivative of Matrix Determinant Arises in Multiparameter Eigenvalue Problems

This chapter considers an iterative scheme based on Newton’s method to find the solution of eigenvalues of Linear Multiparameter Matrix Eigenvalue Problems(LMEP). This chapter is also intended to review some iterative algorithms for computation of partial derivatives of matrix determinant involved in Newton’s Method. First algorithm is based on standard Jacobi formula and second one…
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Editor 2PressRelease January 6, 2020 0

Energy Integration to Ensure Effective Generation Supply and Distribution in Ghana Corporation Perspective

Aims: The objectives of the research are to examine the awareness and efficiency of the renewable energy law in Ghana; determine the main source for energy generated by the VRA, GRIDCO, and ECG; determine the distribution gap and find out how effectively these corporations are making use of the other resources to generate electric energy…
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Editor 2PressRelease January 6, 2020 0

Ensemble of Soft Computing Techniques for Inline Intrusion Detection System

An intrusion detection system automates the supervising activities in a computer network and computer system. It is used to analyses activities in network or computer. Basically, intrusion detection system is used to identify abuse or incomplete threats of abuse of computer security policies. It detects intruders, malicious actions, malicious code, and unwanted communications over the…
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Editor 2PressRelease January 6, 2020 0

Determinant of Matrix by Order Condensation

A simple and direct process is derived to compute the determinant of any square matrix of high order. The approach involves successive applying the matrix order condensation algorithm. A computer program listing in MATLAB is included and examples for finding the determinant of a given 7×7 matrix are given here for illustration. For more information…
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Editor 2PressRelease January 6, 2020 0