Functions and Analysis

1911 Submissions

[5] viXra:1911.0513 [pdf] submitted on 2019-11-30 02:59:28

Factoring ANY Second Order Linear Ordinary Differential Equation

Authors: Claude Michael Cassano
Comments: 4 Pages.

Any Second Order Linear Ordinary Differential Equation may be factored via two linear differential operators. The initial theorem demonstrates that for homogeneous 2nd order LODEs. Theorems that follow improve by supplying the solution of such factorization, extending the theorem to inhomogeneous LODEs, and further providing a generalization which includes the constant coefficients and Cauchy-Euler LODEs; culminating in a single-parameter LODE solution formula with suggested usage examples.
Category: Functions and Analysis

[4] viXra:1911.0453 [pdf] submitted on 2019-11-26 10:40:39

Existence and Continuous Dependence for Fractional Neutral Functional Differential Equations

Authors: Mohammed S. Abdo, Satish K. Panchal
Comments: 18 Pages.

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.
Category: Functions and Analysis

[3] viXra:1911.0343 [pdf] replaced on 2020-09-02 20:32:27

The Navier-Stokes Problem

Authors: Daniel Thomas Hayes
Comments: 10 Pages.

A proposed solution to the millennium problem on the existence and smoothness of the Navier-Stokes equations.
Category: Functions and Analysis

[2] viXra:1911.0115 [pdf] submitted on 2019-11-06 18:56:03

General Order Differentials and Division by Zero Calculus

Authors: Saburou Saitoh
Comments: 9 Pages. In this paper, we will give several examples that in the general order $n$ differentials of functions we find the division by zero and by applying the division by zero calculus, we can find the good formulas for $n=0$. This viewpoint is new and curious at

In this paper, we will give several examples that in the general order $n$ differentials of functions we find the division by zero and by applying the division by zero calculus, we can find the good formulas for $n=0$. This viewpoint is new and curious at this moment for some general situation. Therefore, as prototype examples, we would like to discuss this property. Why division by zero for zero order representations for some general differential order representations of functions does happen?
Category: Functions and Analysis

[1] viXra:1911.0094 [pdf] submitted on 2019-11-05 14:21:38

Demostración de la Hipótesis de Riemann

Authors: Esp. Wilson Torres Ovejero
Comments: 4 Pages.

La hipotesis de Riemann que posee un sin número de aplixaciones a la física, la estadística y por supuesto, a la matemática.
Category: Functions and Analysis