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1

  • S-REGULAR SPACES AND S-NORMAL SPACES IN TOPOLOGY



Govindappa Navalagi, Sujata Mookanagoudar

Abstract:
The aim of this paper is to introduce and study some forms of weak regular spaces and weak forms of normal spaces , viz. s- regular spaces , s-regular spaces , s-normal spaces by using -closed sets and semiopen sets .


1-11
2

  • POLYNOMIAL DIVISION VIA TEMPLATE MATRIX



Feng Cheng Chang

Abstract:
The division of a pair of giving polynomials to find its quotient and remainder is derived by applying the convolution matrix.


12-17
3

  • STUDY ON SPECULATION OF THE DETERMINISTIC ODE DENGUE



Dr. Jitender Singh

Abstract:
In this model a lot of four conditions for people and three conditions for mosquitoes has been made. Here, up to17 parameters and 7 states have been characterized. The model has been additionally improved to partial amounts to take out figuring troubles. The model has been subjectively reached out to numerous locales with legitimate presumptions. Further, the model has been broke down. It has been indicated that there exists an area where the model is epidemiologically and numerically well-presented. The model incorporates a period delay between a T-cell ending up inactively tainted and beneficially contaminated. The model has an infection free and a ceaseless disease balance. It is indicated that the model has Andronov-Hopf bifurcations prompting farthest point cycle conduct in the interminable contamination locale at basic estimations of the time delays.


18-27
4

  • Application of the Partial Differential Equations using the D' Alembert's Formula



Shipra

Abstract:
In this paper, we consider several situations stemming from the applications, and the mathematical modeling of which involves partial differential equation problems. Our primary focus in these research projects is on the good qualities and consequences of a specific partial differential equation's solution. The homogeneous one-dimensional wave equation in particular piques our interest in the mathematical modelling of the consistency and well-posedness of the solution or solutions to certain PDEs. A function u = u(x, y, z, t) will be used to measure different physical quantities. We examine the homogeneous one-dimensional wave equation via the lens of mathematical modelling of partial differential equations. Specifically, we investigate the solution's well-posedness and consistency (Guo and Zhang, 2007). The method of change of variable is to be used to derive the d' Alembert's general solution, which will ultimately lead us to the d' Alembert's formula for the wave equation solution. Though the classical theory of partial differential equations deals almost completely with the well-posed, ill posed problems can be mathematically and scientifically interesting. After that, we analyzed the results using the answer we had acquired, displayed the behavior of our results in a table, and came to the conclusion that the idea of a well-posed issue is crucial in applied mathematics.


28-40
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