Results 31 to 40 of about 6,715,931 (355)
AIMS Mathematics, 2022 Based on the variable separation method, the Kadomtsev-Petviashvili equation is transformed into a system of equations, in which one is a fractional ordinary differential equation with respect to time variable t, and the other is an integer order ...
Cheng Chen
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New uniqueness results for boundary value problem of fractional differential equation
, 2018 In this paper, uniqueness results for boundary value problem of fractional differential equation are obtained. Both the Banach's contraction mapping principle and the theory of linear operator are used, and a comparison between the obtained results is ...
Yujun Cui +3 more
semanticscholar +1 more source
Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
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Gravitating fluids with Lie symmetries
, 2010 We analyse the underlying nonlinear partial differential equation which arises in the study of gravitating flat fluid plates of embedding class one. Our interest in this equation lies in discussing new solutions that can be found by means of Lie point ...
A M Msomi +9 more
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Nonequilibrium corrections to energy spectra of massive particles in expanding universe [PDF]
, 1996 Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial differential ...
A.D. Dolgov +14 more
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On the Equivalence of Differential Equations in the Sense of Coincidence Reflecting Functions
Abstract and Applied Analysis, 2015 We use a new method for constructing some differential equations which are equivalent to a given equation in the sense of having the same reflecting function.
Zhengxin Zhou
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BERNULLI DIFFERENTIAL EQUATION AND CHAOS
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2013 Existence conditions of homoclinic orbits for some systems of ordinary quadratic differential equations with singular linear part are founded. A realization of these conditions guarantees the existence of chaotic attractors at 3-D autonomous quadratic ...
V. Ye. Belozerov
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, 1997 Correlation functions of exactly solvable models can be described by differential equation [Barough, McCoy, Wu]. In this paper we show that for non free fermionic case differential equations should be replaced by integro-differential equations.
Kojima, T., Korepin, V., Slavnov, N.
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On the existence of solutions of a three steps crisis integro-differential equation
, 2018 There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation.
D. Baleanu +3 more
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Transforming Radical Differential Equations to Algebraic Differential Equations
Mediterranean Journal of Mathematics, 2022 Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables.
Falkensteiner, Sebastian +1 more
openaire +3 more sources