Results 11 to 20 of about 36,805 (178)
Isotropic Perfect Fluids in Modified Gravity
Universe, 2023 We generate the Einstein–Gauss–Bonnet field equations in higher dimensions for a spherically symmetric static spacetime. The matter distribution is a neutral fluid with isotropic pressure.
Shavani Naicker +2 more
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The Unique Periodic Solution of Abel’s Differential Equation [PDF]
Journal of Mathematics, 2020 In this paper, the existence of a periodic solution for Abel’s differential equation is obtained first by using the fixed-point theorem. Then, by constructing the Lyapunov function, the uniqueness and stability of the periodic solution of the equation are obtained.
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Charged fluids in higher order gravity
European Physical Journal C: Particles and Fields, 2023 We generate the field equations for a charged gravitating perfect fluid in Einstein–Gauss–Bonnet gravity for all spacetime dimensions. The spacetime is static and spherically symmetric which gives rise to the charged condition of pressure isotropy that ...
Shavani Naicker +2 more
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Generalized Weierstrass Integrability of the Abel Differential Equations
Mediterranean Journal of Mathematics, 2013 We study the Abel differential equations that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor.
Llibre, Jaume, Valls, Clàudia
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Partial Differential Equations in Applied Mathematics, 2020 A particular function defined in terms of the Lambert function W is shown to serve as the basis for exact traveling wave solutions to several reaction–diffusion–convection (RDC) equations involving rational, non-linear diffusion terms. These represent a
Brian Wesley Williams
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Using Abel\u27s Theorem to Explain Repeated Roots of the Characteristic Equation [PDF]
, 2011 This document describes how one can derive the solutions to a linear constant coefficient homogeneous differential equation with repeated roots in the characteristic equation with Abel\u27s ...
Green, William
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A Geometric Approach to Integrability of Abel Differential Equations [PDF]
International Journal of Theoretical Physics, 2010 A geometric approach is used to study the Abel first order differential equation of the first kind. The approach is based on the recently developed theory of quasi-Lie systems which allows us to characterise some particular examples of integrable Abel equations.
Cariñena, José F. +2 more
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Almost periodic solutions for Abel equations
International Journal of Mathematics and Mathematical Sciences, 1997 Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic ...
Zeng Weiyao +3 more
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A Mathematical Model of Epidemics—A Tutorial for Students
Mathematics, 2020 This is a tutorial for the mathematical model of the spread of epidemic diseases. Beginning with the basic mathematics, we introduce the susceptible-infected-recovered (SIR) model.
Yutaka Okabe, Akira Shudo
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Fire, 2023 The temperature field and chemiluminescence measurements of axisymmetric flame are obtained simultaneously in only one image. Digital Laser Speckle Displacement measures temperature fields, and direct image flame determines chemiluminescence values ...
J. C. I. Zamarripa-Ramírez +2 more
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