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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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, 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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Differential Equation Invariance Axiomatization [PDF]
Journal of the ACM, 2019 This article proves the completeness of an axiomatization for differential equation invariants described by Noetherian functions. First, the differential equation axioms of differential dynamic logic are shown to be complete for reasoning about analytic ...
André Platzer, Yong Kiam Tan
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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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An analytical method for shallow spherical shell free vibration on two-parameter foundation
Heliyon, 2021 The free vibration control differential equation of shallow spherical shell on two-parameter foundation is a four order differential equation.
Jiarong Gan +4 more
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Revstat Statistical Journal, 2022 In this paper we present a solution to a second order differential–difference equation that occurs in different contexts, specially in control engineering and finance. This equation leads to an ordinary differential equation, whose homogeneous part is a
Cláudia Nunes +2 more
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IMPLEMENTASI DELAY DIFFERENTIAL EQUATION PADA SOLVER ORDINARY DIFFERENTIAL EQUATION MATLAB
JUTI: Jurnal Ilmiah Teknologi Informasi, 2002 Ordinary Differential Equation (ODE) dan Delay Differential Equation (DDE) banyak digunakan untuk menerangkan kejadian-kejadian pada dunia nyata. ODE melibatkan derivatif yang dipengaruhi oleh penyelesaian waktu sekarang dari variabel-variabel yang tidak
Rully Soelaiman, Yudhi Purwananto
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On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]
Opuscula Mathematica, 2021 We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
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Mathematics, 2020 In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
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Boundary Value Problems, 2019 In this paper, we consider the following third-order singular differential equation with variable coefficients: x‴+a(t)x=f(t,x)+e(t). $$ x'''+a(t)x=f(t,x)+e(t).
Shaowen Yao, Jie Liu
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