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Sheaves and Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1956 known about the local theory and little about global problems. The present paper is an attempt to define and give some basic properties of the sheaves that are related to differential equations. Let M be a smooth domain in some euclidean space and let D be a linear partial differential operator whose coefficients are Coo on M.
Leon Ehrenpreis
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Rossler’s system using piecewise derivative
Results in Physics, 2023 This article deals with a piecewise system named piecewise Rossler’s system which exhibits a concept of piecewise derivatives based on Classical-power-law randomness, Classical Mittag-Leffler-law-randomness, and Classical fading memory randomness ...
Atul Kumar
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Min-max differential game with partial differential equation
AIMS Mathematics, 2022 In this paper, we are concerned with a min-max differential game with Cauchy initial value problem (CIVP) as the state trajectory for the differential game, we studied the analytical solution and the approximate solution by using Picard method (PM) of ...
Ebrahim. A. Youness +3 more
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Growth of Solutions of Homogeneous Differential–Difference Equations
Computer Sciences & Mathematics Forum, 2023 In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane ∑j=0nAjzfjz+cj=0, n∈N+, where cj, j=0,...,n are complex numbers, and Aj(z), j=0, …, n are entire functions of ...
Hakima Lassal, Benharrat Belaϊdi
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Differential inequality and non-oscillation of fourth order differential equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The oscillatory theory of fourth order differential equations has not yet been developed well enough. The results are known only for the case when the coefficients of differential equations are power functions.
A.A. Kalybay, A.O. Baiarystanov
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AIMS Mathematics, 2022 The basic objective of this paper is to utilize the factorization technique method to derive several properties such as, shift operators, recurrence relation, differential, integro-differential, partial differential expressions for Gould-Hopper-Frobenius-
Rabab Alyusof , Mdi Begum Jeelani
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, 2022 The Encyclopedia of Mathematical Geosciences is a complete and authoritative reference work. It provides concise explanation on each term that is related to Mathematical Geosciences. Over 300 international scientists, each expert in their specialties, have written over 300 separate articles on different topics of mathematical geosciences including ...
Zlotnik, Sergio, Soler Villanueva, Jaume
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Tikrit Journal of Pure Science, 2021 The aim of this paper is to study It ’s formula for some stochastic differential equation such as quotient stochastic differential equation, by using the function F (t, x (t)) which satisfies the product Ito’s formula, then we find some calculus ...
Abdulghafoor J. Salim, Ali F. Ali
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A Universal Ordinary Differential Equation [PDF]
Logical Methods in Computer Science, 2020 An astonishing fact was established by Lee A. Rubel (1981): there exists a fixed non-trivial fourth-order polynomial differential algebraic equation (DAE) such that for any positive continuous function $\varphi$ on the reals, and for any positive ...
Olivier Bournez, Amaury Pouly
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Finding the general Solution for some extraordinary Differential Equation [PDF]
مجلة التربية والعلم, 2008 This paper has a dual purpose. One purpose is to introduce a method consists of repeatedly applying Riemann-Liouville operator of appropriate order until the equation , ( ) , (q is integer) is transformed into an ordinary differential equation.A second ...
Shayma Murad
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